text:
\section{Introduction}
The heavy-ion collision experiments at RHIC, the LHC and the future FAIR and NICA projects are designed to establish the QCD phase diagram. The first order QCD phase transition, which separates the hadronic phase from the deconfined quark-gluon phase below the critical endpoint, is thought to be represented by a coexistence line on the phase diagram in the plane of temperature $T$ and baryon chemical potential $\mu$~\cite{Cleymans86,Yagi,Fukushima11,Ohnishi12,Weise12,Fischer11,Schafer05}. Such a first order phase transition, which is represented by a line in the $T-\mu$ plane, is a liquid-gas type one associated with the Gibbs free energy, which is a thermodynamic potential of the isobaric ensemble~\cite{Parvan12}. It is accepted that the nuclear multifragmentation, i.e. the disintegration of nuclei into fragments observed in intermediate-energy nuclear reactions, is also the first order phase transition of the nuclear liquid-gas type (see, e.g., ref.~\cite{Mishustin06}, and the references cited therein). However, on the theoretical side there is an ambiguity about the existence of discontinuity of energy (plateau) in the nuclear multifragmentation caloric curve in different statistical ensembles. One class of the statistical multifragmentation models (SMM) predicts a plateau in the caloric curves in the canonical and microcanonical ensembles \cite{Bondorf85,Gross90,Das2003,Parvan00}, but another class of SMM predicts a plateau in the caloric curves in the isobaric ensemble~\cite{Elliott00,Aguiar06}, which is a typical signature of the nuclear liquid-gas phase transition.
Another example of the first order phase transition of the liquid-gas type which usually happens in nuclear matter is the phase transition taking place in the interacting hadronic nuclear matter at low temperatures~\cite{Serot86,Kapusta,Parvan12}.

The first order phase transition of the liquid-gas type associated with the Gibbs free energy is defined by the cusp of the Gibbs free energy per particle (the chemical potential) and the corresponding jump discontinuities of its first derivatives, i.e. the specific volume and the entropy per particle, at constant values of pressure and temperature. Namely, the Gibbs free energy per particle is a piecewise smooth function and its first order partial derivatives with respect to variables of state of the isobaric ensemble $(T,p)$, i.e., the entropy per particle and the specific volume are the piecewise continuous functions. For the liquid-gas phase transition the energy in the caloric curve is discontinuous in the isobaric and the grand canonical ensembles at fixed values of the pressure and the chemical potential, respectively, and it is continuous in the canonical and microcanonical ensembles at fixed values of the specific volume. However, the specific volume in the isotherms is discontinuous in the isobaric and the canonical ensembles at fixed values of the temperature. The phase diagrams for the liquid-gas phase transition are represented by the coexistence lines in the planes $T-\mu$ and $T-p$ and the coexistence areas in the plane of temperature and specific volume (density of particles) and in the plane of temperature and entropy per particle.

In the Ehrenfest classification scheme the first order phase transition is defined as a phase transition which can be associated only with the Gibbs free energy of the isobaric ensemble~\cite{Ehrenfest,Stanley}. Such a phase transition is a liquid-gas type one. In refs.~\cite{Papon,Yeomans}, the Ehrenfest definition of the first order phase transition was generalized to any thermodynamic potential. In this case, it is the one associated with a finite discontinuity in one or more first derivatives of the appropriate thermodynamic potential with respect to its variables of state.
Some models which predict the first order phase transition in the canonical and microcanonical ensembles, the thermodynamical potentials of which are different from the Gibbs free energy, can be seen in refs.~\cite{Campa09,Huller94,Barre02,Gross97,Chomaz06}.

The present paper proposes a simple statistical model of total nuclei decay into nucleons, which is a limiting case of the statistical multifragmentation model which has the first order phase transition associated with the Helmholtz free energy for which the Ehrenfest definition is given in the canonical ensemble. The exact analytical results for this model were obtained. They allowed us to find the general thermodynamic properties of the first order phase transition associated with the Helmholtz free energy and determine its differences from the phase transition of the liquid-gas type. For example, the free energy per nucleon is a continuous function at the points of phase transition, but the first order partial derivatives of the thermodynamic potential of the canonical ensemble with respect to variables of state, i.e. the entropy per nucleon, the pressure and the chemical potential, have jump discontinuities.

The structure of the paper is as follows. In Section II, we briefly describe basic ingredients of the statistical model of total nuclei decay into nucleons. The thermodynamic results for the first order phase transition associated with the Helmholtz free energy and the caloric curve are discussed in Sections III. The main conclusions are summarized in the final section.

\section{The statistical model of the nuclei decay into nucleons}\label{Nucl}
\subsection{The general formalism}
The partition function of the statistical multifragmentation model in the canonical ensemble which describes the decay of one nucleus of $A$ nucleons into different nuclear fragments in the volume $V$ at the temperature $T$ is actually given by the expression~\cite{Parvan00,DasGupta98,Das05,Parvan99,Parvan04}
\begin{equation}\label{1a}
   Z_{A} = \sum\limits_{\{n_{k}\}} \delta\left(\sum\limits_{k=1}^{A} k n_{k} - A\right) \ \prod_{k=1}^{A} \frac{\omega_{k}^{n_{k}}}{n_{k}!} =
  \frac{1}{A} \ \sum\limits_{k=1}^{A} k \omega_{k} Z_{A-k}
\end{equation}
and
\begin{equation}\label{2a}
  \omega_{k} = g_{k} V_{f} \left(\frac{m k T}{2\pi}\right)^{3/2} \ e^{\frac{W_{k}}{T}},
\end{equation}
where $Z_{0}=1$, $\omega_{k}$ is the partition function of a fragment (nucleus) which has $k$ nucleons, $V_{f}=V-v_{0}A$ is the free volume, $W_{k}$ is the binding energy of the fragment of $k$ nucleons, $m_{N}$ is the nucleon mass, $v_{0}=1/\rho_{0}$, $\rho_{0}$ is the normal nuclear density and $g_{k}$ is the spin-isospin degeneracy factor. The binding energy of the free nucleons $W_{1}=0$. Note that throughout the paper we use the system of natural units, $\hbar=c=k_{B}=1$.

The partition function (\ref{1a}) in the limiting case of the SMM, when one nucleus of $A$ nucleons decays into free nucleons only, $\omega_{2}=\ldots =\omega_{A-1}=0$, can be written as
\begin{equation}\label{3a}
 Z_{A} = \frac{\omega_{1}^{A}}{A!} +\frac{\omega_{A}^{1}}{1!}.
\end{equation}

Let us generalize this limiting case of the SMM to the system of $N$ number of nuclei of $A$ nucleons which decay into $B$ free nucleons, $B=NA$, in a volume $V$, in contact with a heat reservoir of temperature $T$. Considering the definition (\ref{3a}) and the Maxwell-Boltzmann statistics of nuclei and nucleons, we can write the thermodynamical potential, the Helmholtz free energy, and the partition function in the canonical ensemble $(T,V,B)$ as
\begin{equation}\label{1}
    F = -T \ln Z_{B}
\end{equation}
and
\begin{equation}\label{2}
    Z_{B} = \frac{\omega_{1}^{B}}{B!} + \frac{\omega_{A}^{N}}{N!}.
\end{equation}
Here, the free volume $V_{f}=V-v_{0}B$ is used. The mean number of the free nucleons $\langle n_{1}\rangle$ and the mean number of the initial free nuclei $\langle n_{A} \rangle$ are given by
\begin{equation}\label{4}
\langle n_{1}\rangle = \frac{B}{Z_{B}} \frac{\omega_{1}^{B}}{B!}, \qquad
\langle n_{A} \rangle = \frac{N}{Z_{B}} \frac{\omega_{A}^{N}}{N!}.
\end{equation}
The total baryon charge of the system $\langle B\rangle$ and the mean multiplicities of particles in the system $\langle m\rangle$ are
\begin{eqnarray}\label{5}
B &=& \langle n_{1}\rangle + A\langle n_{A}\rangle, \\ \label{6}
 \langle m\rangle &=& \langle n_{1}\rangle+\langle n_{A}\rangle.
\end{eqnarray}

The first order partial derivatives of the thermodynamic potential $F$ with respect to variables of state of the canonical ensemble $(T,V,B)$, i.e. the entropy $S$, the pressure $p$ and the chemical potential $\mu$ can be written as
\begin{eqnarray}\label{7}
  S &=& -\left(\frac{\partial F}{\partial T}\right)_{VB}= \frac{E-F}{T}, \\    \label{8}
  p &=& -\left(\frac{\partial F}{\partial V}\right)_{TB}= \frac{T}{V_{f}} \ \langle m \rangle, \\    \label{9}
  \mu &=&  \left(\frac{\partial F}{\partial B}\right)_{TV}= p v_{0} + \frac{T}{B} \left\{1+ \left[-\ln\omega_{1}+\psi(B)\right] \langle n_{1} \rangle + \left[-\ln\omega_{A}+\psi(N)\right] \langle n_{A} \rangle \right\},
\end{eqnarray}
where $\psi(z)$ is the psi-function. The mean energy of the system is given by
\begin{equation}\label{10}
  E =  -T^{2} \left(\frac{\partial}{\partial T}\frac{F}{T}\right)_{VB} = \frac{3}{2} T \ \langle m \rangle -  \langle n_{A} \rangle \ W_{A}.
\end{equation}
The second order partial derivatives of the thermodynamic potential $F$ with respect to variables of state, i.e. the heat capacity $C_{V}$, the compressibility $k_{T}$ and the susceptibility $\chi$,  can be written as
\begin{eqnarray}\label{11}
  C_{V} &=& -T \left(\frac{\partial^{2}F}{\partial T^{2}}\right)_{VB}= \frac{3}{2} \ \langle m \rangle + \langle n_{1}\rangle\langle n_{A}\rangle \
\frac{1}{A}\left[\frac{3}{2}(A-1)+\frac{W_{A}}{T}\right]^{2}, \\ \label{12}
\frac{1}{k_{T}V} &=& \left(\frac{\partial^{2}F}{\partial V^{2}}\right)_{TB}= \frac{p}{V_{f}} - \langle n_{1}\rangle\langle n_{A}\rangle \
\frac{T}{V_{f}^{2}}\frac{(A-1)^{2}}{A}, \\ \label{13}
\frac{1}{\chi} &=& \left(\frac{\partial^{2}F}{\partial B^{2}}\right)_{TV}= \frac{T}{B^{2}} \left\{ \frac{v_{0}B}{V_{f}} \left(2+\frac{v_{0}B}{V_{f}}\right)\langle m\rangle -1 +  B\frac{\partial \psi(B)}{\partial B}\langle n_{1}\rangle + N\frac{\partial \psi(N)}{\partial N}  \langle n_{A}\rangle  \right\} \nonumber \\
  &-& \langle n_{1}\rangle\langle n_{A}\rangle  \frac{T}{B^{2}} A \left[-\frac{A-1}{A}\frac{v_{0}B}{V_{f}}+\ln\omega_{1}-\psi(B)-\frac{1}{A}(\ln\omega_{A}-
  \psi(N)) \right]^{2}.
\end{eqnarray}
The second derivatives allow us to identify the convexity properties of the thermodynamic potential $F$ which are related to the thermal, mechanical and particle stability of the system~\cite{Stanley}.

\subsection{The thermodynamic limit}
Let us consider the thermodynamic limit: $N\to\infty$, $V\to\infty$ and $v=V/B=const$. Then the free energy per nucleon (\ref{1}) reduces to
\begin{eqnarray}\label{14}
  f &=& \frac{F}{B}=-\frac{T}{A}\ln\left(z_{1}^{N}+z_{A}^{N}\right)^{\frac{1}{N}}, \quad N\to\infty,  \\ \label{15}
  z_{1} &=& \left[g_{1}v_{f}e \left(\frac{mT}{2\pi}\right)^{3/2}\right]^{A},  \\ \label{16}
  z_{A} &=& g_{A}v_{f}e \left(\frac{mT}{2\pi}\right)^{3/2} A^{5/2} e^{\frac{W_{A}}{T}},
\end{eqnarray}
where $v_{f}=V_{f}/B=v-v_{0}$. The mean number of the free nucleons and the mean number of the free nuclei (\ref{4}) then become
\begin{equation}\label{17}
\langle n_{1}\rangle = B \frac{1}{1+e^{-aN}}, \qquad
\langle n_{A} \rangle = N \frac{1}{1+e^{aN}},
\end{equation}
where
\begin{equation}\label{18}
    a=\ln\frac{z_{1}}{z_{A}}.
\end{equation}
The first order partial derivatives of the Helmholtz potential $F$ with respect to variables of state, i.e. the entropy per nucleon (\ref{7}), the pressure (\ref{8}) and the chemical potential (\ref{9}), in the thermodynamic limit take the form
\begin{eqnarray}\label{19}
s &=&  \frac{S}{B}= \frac{\varepsilon-f}{T}, \\ \label{20}
  p &=& \frac{T}{v_{f}} \ \frac{\langle m\rangle}{B},  \\ \label{21}
  \mu &=& p v- \frac{T}{A} \left[ \ln z_{1} \frac{\langle n_{1}\rangle}{B}+ \ln z_{A} \frac{\langle n_{A}\rangle}{N}\right],
\end{eqnarray}
The mean energy per nucleon (\ref{10}) in the thermodynamic limit becomes
\begin{equation}\label{22}
   \varepsilon = \frac{E}{B} = \frac{3}{2} T \frac{\langle m\rangle}{B} - \frac{\langle n_{A}\rangle}{N} \frac{W_{A}}{A}.
\end{equation}
Finally, the second order partial derivatives of the thermodynamic potential $F$ with respect to variables of state, i.e. the heat capacity per nucleon (\ref{11}), the compressibility (\ref{12}) and the susceptibility (\ref{13}), in the thermodynamic limit can be written as
\begin{eqnarray}\label{23}
 c_{v} &=& \frac{C_{V}}{B} = \frac{3}{2} \frac{\langle m\rangle}{B} + \frac{\langle n_{1}\rangle}{B} \frac{\langle n_{A}\rangle}{N} \frac{B}{A^{2}} \left[
 \frac{3}{2}(A-1) + \frac{W_{A}}{T}\right]^{2}, \\ \label{24}
  \frac{1}{k_{T}v} &=&  \frac{p}{v_{f}} -
  \frac{\langle n_{1}\rangle}{B} \frac{\langle n_{A}\rangle}{N} \frac{TB}{v_{f}^{2}} \left(\frac{A-1}{A}\right)^{2},  \\ \label{25}
  \frac{B}{\chi} &=& \frac{p v^{2}}{v_{f}} - \frac{\langle n_{1}\rangle}{B} \frac{\langle n_{A}\rangle}{N} \frac{TB}{A^{2}} \left[a -
  (A-1)\frac{v}{v_{f}}\right]^{2}.
\end{eqnarray}
Note that in this model the thermodynamic limit is taken in accordance with the standard rules of the thermodynamics and the statistical mechanics~\cite{Huang}.

\section{The first order phase transition in the canonical ensemble}\label{Rez1}
Let us describe the phase transition of the statistical model of the nuclei decay into nucleons in the canonical ensemble. This ensemble is characterized by the potential, $F(T,V,B)$ and the physical observables correspond to its first and second order partial derivatives. The geometry (curvature) of the hypersurface $F$ determines the physical properties of the system. In the thermodynamic limit at three different values of the variable $a$, $a<0$, $a=0$ and $a>0$, the thermodynamic potential per nucleon (\ref{14}) is a homogeneous function of the first degree of the extensive variable of state $B$:
\begin{equation}\label{26}
         F(T,V,B) =  B f(T,v).
\end{equation}
Then in the thermodynamic limit at three different values of the variable $a$ the first and the second order partial derivatives of the thermodynamic potential $F$ with respect to variables of state $(T,V,B)$ (\ref{17})--(\ref{23}) can be written as
\begin{eqnarray}\label{27}
    s &=& -f'_{T}(T,v), \qquad \;\;\;\;\;\;\; p= -f'_{v}(T,v), \qquad \quad \mu= f+pv, \\ \label{28}
    \frac{c_{v}}{T} &=& -f''_{TT}(T,v), \qquad  \frac{1}{k_{T}v} = f''_{vv}(T,v), \qquad   \frac{B}{\chi v^{2}} = f''_{vv}(T,v),
\end{eqnarray}
where $f'_{x}(x,y)=(\partial f/\partial x)_{y}$ and $f''_{xx}(x,y)=(\partial^{2} f/\partial x^{2})_{y}$. These quantities satisfy the differential equation for $f$, the fundamental equation of thermodynamics and the Euler theorem
\begin{equation}\label{29}
  df = -sdT-pdv,  \qquad Tds = d\varepsilon + p dv, \qquad  Ts=\varepsilon+pv-\mu.
\end{equation}
Moreover, the Legendre transform, $f=\varepsilon-Ts$, and the relation for second derivatives, $B/\chi=v/k_{T}$, are valid. Note that eqs.~(\ref{26})--(\ref{29}) are satisfied separately in the regions $a<0$, $a=0$ and $a>0$.

The values of $a<0$ give the homogeneous phase $I$ of the system which consists of the free nuclei $\langle n_{1}\rangle/B=0$ and $\langle n_{A}\rangle/N=1$. The homogeneous phase $II$ of the system is determined by the values of $a>0$ in which the system is composed by the free nucleons $\langle n_{1}\rangle/B=1$ and $\langle n_{A}\rangle/N=0$. The values of $a=0$ in Eq.~(\ref{18}) determine the line of phase boundary in the $T-v$ space
\begin{equation}\label{30}
    v= v_{0} + \left(\frac{g_{1}^{A}}{g_{A}}A^{-5/2}\right)^{-\frac{1}{A-1}}\left(\frac{mT}{2\pi}\right)^{-\frac{3}{2}} \ e^{\frac{1}{A-1}\frac{W_{A}}{T}-1}.
\end{equation}

\begin{figure}[htp]
\includegraphics[width=14cm]{nvfix_tvar2.eps} \vspace{-0.3cm}
\caption{(Color online) The thermodynamic potential per nucleon $f$, the entropy per nucleon $s$, the pressure $p$, the chemical potential $\mu$, the energy per nucleon $\varepsilon$, the heat capacity per nucleon $c_{v}$, the compressibility $1/k_{T}v$ and the susceptibility per nucleon $B/\chi$ as functions of the temperature $T$ at fixed specific volume $v$ for the finite number $N$ of nuclei and the thermodynamic limit $N=\infty$. The dotted, dashed and solid curves were calculated by the statistical model of nuclei decay into nucleons in the canonical ensemble for the $^{12}C$ nuclei with $N=1,3$ and $N=\infty$, respectively, at the specific volume $v=3v_{0}$. The symbols are the phase diagrams in the thermodynamic limit.} \label{f1}
\end{figure}
Figure~\ref{f1} presents the behavior of the free energy per nucleon $f$ and its first and second partial derivatives with respect to variables of state as functions of the temperature $T$ at fixed specific volume $v$ for the $^{12}C$ nuclei which decay into nucleons for the finite number $N$ of nuclei and in the thermodynamic limit, $N=\infty$. In the calculations we shall assume the typical numerical values of the spin-isospin degeneracy factors adopted in the SMM~\cite{Bondorf95}, i.e. $g_{1}=4$ and $g_{A}=1$. Therewith, the binding energy per nucleon for the nucleus of $^{12}C$ is taken to be $W_{A}/A=7.680144$ MeV. The function $f(T)$ is continuous for all $T$ and has a cusp at the point of phase transition $T=T^{*}$ where the first order partial derivatives, i.e. the entropy per nucleon $s(T)$, the pressure $p(T)$ and the chemical potential $\mu(T)$, and the energy per nucleon $\varepsilon(T)$ have jump discontinuities. At this point $T^{*}$ the second order partial derivatives, i.e. the heat capacity per nucleon $c_{v}(T)$, the compressibility $1/k_{T}(T)v$ and the susceptibility per nucleon $B/\chi(T)$, have the local extremum (infinite maximum or minimum). Therefore, in conformity with the Ehrenfest definition of the phase transitions the point $T=T^{*}$ is the point of the first order phase transition related to the thermodynamic potential $F$ of the canonical ensemble, i.e. the Helmholtz free energy. The jump of the entropy per nucleon at the point of phase transition $T^{*}$ is related to the latent heat. In this nuclear system two homogeneous phases can be distinguished. In the homogeneous phase $(I)$ at the temperature $T<T^{*}$ the system consists of the $N$ free nuclei of $^{12}C$, $\langle n_{A}\rangle=N$. However, in the homogeneous phase $(II)$ at the temperature $T>T^{*}$ the system is composed of the free nucleons only $\langle n_{1}\rangle=B$. At $T=T^{*}$ the mixed phase is realized. Note that in the canonical ensemble at fixed values of the volume and the number of nuclei the pressure of the system is discontinuous at the points of phase transition due to the jump increase in the multiplicity of particles which carry the partial pressure $\sim T/V_{f}$. The discontinuity of the chemical potential is also related to the internal increase in the number of free particles.

\begin{figure}[htp]
\includegraphics[width=14cm]{ntfix_vvar.eps}  \vspace{-0.3cm}
\caption{(Color online) The thermodynamic potential per nucleon $f$, the entropy per nucleon $s$, the pressure $p$, the chemical potential $\mu$, the energy per nucleon $\varepsilon$, the heat capacity per nucleon $c_{v}$, the compressibility $1/k_{T}v$ and the susceptibility per nucleon $B/\chi$ as functions of the specific volume $v$ at fixed temperature $T$ for both the finite number $N$ of nuclei and the thermodynamic limit, $N=\infty$. The dotted, dashed and solid curves were calculated by the statistical model of nuclei decay into nucleons in the canonical ensemble for the $^{12}C$ nuclei with $N=1,3$ and $N=\infty$, respectively, at the temperature $T=18.4$ MeV. The symbols are the phase diagrams in the thermodynamic limit.} \label{f2}
\end{figure}
Figure~\ref{f2} presents the behavior of the free energy per nucleon $f$ and its first and second partial derivatives with respect to variables of state as functions of the specific volume $v$ at fixed temperature $T$ for the $^{12}C$ nuclei which decay into nucleons for the finite number $N$ of nuclei and in the thermodynamic limit, $N=\infty$. In the thermodynamic limit the function $f(v)$ is a piecewise smooth function on a closed  interval $I$ around the point of phase transition $v=v^{*}$, i.e., it is a one-valued continuous broken-line function with the point of discontinuity of the first derivative at $v=v^{*}$. The graph has a cusp and there is no derivative. The first order partial derivatives of the thermodynamic potential per nucleon with respect to variables of state, the entropy per nucleon $s(v)$, the pressure $p(v)$ and the chemical potential $\mu(v)$ are single-valued piecewise continuous functions for all $v$. At the point $v=v^{*}$ the first order partial derivatives, i.e. the entropy per nucleon $s(v)$, the pressure $p(v)$ and the chemical potential $\mu(v)$, and the energy per nucleon $\varepsilon(v)$ have jump discontinuities. However, the second order partial derivatives of the thermodynamic potential per nucleon with respect to variables of state, i.e. the heat capacity per nucleon $c_{v}(v)$, the compressibility $1/k_{T}(v)v$ and the susceptibility per nucleon $B/\chi(v)$, have the local extremum (infinite maximum or minimum). Therefore, the point of discontinuity of the first derivatives at $v=v^{*}$ is the point of the first order phase transition related to the thermodynamic potential $F$ of the canonical ensemble, i.e. the Helmholtz free energy. The jump of the entropy per nucleon at the point of phase transition $v^{*}$ is related to the latent heat. In the nuclear system described by the statistical model of the nuclei decay into nucleons in the canonical ensemble two homogeneous phases are realized. In the homogeneous phase $(I)$ at the specific volume $v<v^{*}$ the system consists of the $N$ free nuclei, $\langle n_{A}\rangle=N$. However, in the homogeneous phase $(II)$ at the specific volume $v>v^{*}$ the system is composed of the free nucleons, $\langle n_{1}\rangle=B$. At $v=v^{*}$ the mixed phase is realized.

\begin{figure}
\includegraphics[width=8cm]{nsurff.eps} \vspace{-0.3cm}
\caption{(Color online) The Helmholtz free energy per nucleon $f(T,v)$ as a function of the temperature $T$ and the specific volume $v$ for the statistical model of nuclei decay into nucleons in the canonical ensemble in the thermodynamic limit for the $^{12}C$ nuclei. The solid lines are the line of phase transition on the surface $f(T,v)$ and its projection onto the plane $T-v$, i.e. the phase diagram.} \label{f3}
\end{figure}
Figure~\ref{f3} shows a picture of the surface of the thermodynamic potential per nucleon $f$ as a function of the variables of state $(T,v)$ near the line of phase transition which is determined by eq.~(\ref{30}). This line is a line of fracture of the surface $f$ as in all its points the function $f(T,v)$ is continuous but undifferentiated. It defines the first order phase transition associated with the Helmholtz free energy, and its projection onto the $T-v$ plane gives the corresponding phase diagram.

\begin{figure}
\includegraphics[width=12cm]{npd.eps} \vspace{-0.3cm}
\caption{(Color online) The phase diagrams $T-v$, $T-\rho$ (top panels), $T-s$, $T-p$, $T-\mu$ (mean panels) and $v-s$, $v-p$, $v-\mu$ (bottom panels) for the first order phase transition of the statistical model of the nuclei decay into nucleons for the $^{12}_{6}C$ nuclei in the canonical ensemble. Roman numerals denote the homogeneous phases ($I$) and ($II$), the shaded areas correspond to the mixed phase and the lines are the coexistence curves.} \label{f4}
\end{figure}
More concretely, the phase diagrams for the first order phase transition of the statistical model of the nuclei decay into nucleons in the canonical ensemble $(T,v)$ in the thermodynamic limit are depicted in Fig.~\ref{f4}. The phase diagram $T-v$ for the first order phase transition in the canonical ensemble is represented by the continuous coexistence curve which begins at the critical point $(T_{c}=\infty,v_{c}=v_{0})$ and finishes at the point $(T=0,v=\infty)$. The coexistence curve $T-\rho$ crosses the $\rho$ axes at the point $(T=0$, $\rho=0)$ and finishes at the critical point $(T_{c}=\infty,\rho_{c}=\rho_{0})$. Along these coexistence curves, the functions $s(T,v)$, $p(T,v)$ and $\mu(T,v)$, are discontinuous. Therefore, in the phase diagrams $T-s$, $T-p$, $T-\mu$, $v-s$, $v-p$ and $v-\mu$ we have the coexistence regions instead of the coexistence lines because the variables $s$, $p$ and $\mu$ are undefined at the points of phase transition $(T^{*},v^{*})$. We have two homogeneous phases in the system: the phase $(I)$ of the free nuclei and  the phase $(II)$ of the free nucleons. The mixed phase is defined by the coexistence lines on the phase diagrams $T-v$, $T-\rho$ and the coexistence areas on the phase diagrams $T-s$, $T-p$ and $T-\mu$. In contrast to this phase transition, the first order phase transition of the liquid-gas type associated with the Gibbs free energy $G$ is described by the coexistence lines on the phase diagrams $T-\mu$ and $T-p$ and the coexistence areas on the phase diagrams $T-v$, $T-\rho$~\cite{Parvan12}. From the phase diagrams shown in Fig.~\ref{f3}, the Gibbs phase rule for the first order phase transition associated with the Helmholtz free energy $F$ of the canonical ensemble can be defined by
\begin{equation}\label{31}
    T_{I}=T_{II}, \qquad v_{I}=v_{II},
\end{equation}
where the roman numerals ($I$) and ($II$) denote the homogeneous phases in equilibrium. It is characterized by the equality of temperature and specific volume across phase boundaries. In contrast to this, the Gibbs phase rule for the first order phase transition of the liquid-gas type associated with the Gibbs free energy is represented by the equality of temperature, pressure and chemical potential across phase boundaries~\cite{Landau}.

\begin{figure}
\includegraphics[width=13.5cm]{ncalor.eps} \vspace{-0.3cm}
\caption{(Color online) (a) The temperature $T$ as a function of the excitation energy per nucleon $\varepsilon^{*}$ (the caloric curve) and (b) the temperature $T$ as a function of the multiplicity $\langle m\rangle$ for the statistical model of the nuclei decay into nucleons for the $^{12}_{6}C$ nuclei in the canonical ensemble for $N=3$ and in the thermodynamic limit at the specific volume $v=2.5 v_{0}$. (c) The isotherms and (d) the dependence of the chemical potential $\mu$ on the baryon density $\rho$ in the canonical ensemble for $N=3$ and in the thermodynamic limit at the temperature $T=21.4$ MeV.}   \label{f5}
\end{figure}
Figure~\ref{f5} presents the caloric curve, the temperature $T$ as a function of the multiplicity, the equation of state or the isotherms, i.e. the dependence $p-\rho$ at fixed temperature $T$, and the dependence $\mu-\rho$ in the canonical ensemble for the first order phase transition of the statistical model of the nuclei decay into nucleons. The excitation energy per nucleon is defined by the equation, $\varepsilon^{*}=\varepsilon(T)-\varepsilon(0)$, where $\varepsilon(0)=-W_{A}/A$ is the energy per nucleon in the ground state. At the point of phase transition at temperature $T=T^{*}$ the excitation energy per nucleon $\varepsilon^{*}$ in the caloric curve has a jump discontinuity in the canonical ensemble at fixed specific volume $v$ or baryon density $\rho$. The curve $\varepsilon^{*}(T)$ is a piecewise continuous function. The multiplicity of particles in Fig.~\ref{f5}(b) has a jump discontinuity at the point of phase transition. In the phase (I) it is equal to $\langle m\rangle=N$, but in the phase (II) the multiplicity is $\langle m\rangle=B$. The pressure $p$ and the chemical potential $\mu$ in the isotherms and the equation $\mu-\rho$, respectively, are discontinuous in the canonical ensemble at the points of phase transition. See Fig.~\ref{f5}(c) and (d). Note that in the case of the first order phase transition of the liquid-gas type in the canonical ensemble, the excitation energy per nucleon $\varepsilon^{*}$ in the caloric curve is continuous at fixed values of the specific volume and the specific volume $v$ in the isotherms is discontinuous at constant values of the pressure $p$ and the chemical potential $\mu$~\cite{Parvan12}. In the canonical ensemble the liquid-gas phase transition is defined by the plateaus in the isotherms and the equation $\mu-\rho$ at fixed temperature $T$.

Summarizing, we have found that the phase transition of the statistical model of the nuclei decay into nucleons in the canonical ensemble is the first order phase transition defined by the Helmholtz free energy, instead of the Gibbs free energy which defines the first order phase transition of the liquid-gas type.  The first order phase transition associated with the Helmholtz free energy is defined by the piecewise smooth function of the Helmholtz potential per nucleon $f$ and the piecewise continuous functions of the first order partial derivatives of $F$ with respect to variables of state, the entropy per nucleon $s$, the pressure $p$ and the chemical potential $\mu$. At the points of phase transition given by the variables of state $(T,v)$ the potential $f$ is a continuous function which has a cusp, however, the first derivatives $s$, $p$ and $\mu$ (order parameters) have jump discontinuities and the second order partial derivatives $c_{v}$, $1/k_{T}v$ and $B/\chi$ have an infinite maximum or minimum. The excitation energy per nucleon $\varepsilon^{*}$ in the caloric curve is discontinuous in the canonical ensemble.

\section{Conclusions}\label{Concl}
To conclude, in this paper the statistical model of the nuclei decay into nucleons in the canonical ensemble as the limiting case of the statistical multifragmentation model was introduced. The exact analytical results for both the finite system of $N$ nuclei and the infinite system in the thermodynamic limit were obtained. It was revealed that the statistical model of the nuclei decay into nucleons in the canonical ensemble in the thermodynamic limit has the first order phase transition associated with the Helmholtz free energy instead of the Gibbs free energy. This phase transition was investigated on the basis of the method of the thermodynamic potentials and their first and second derivatives. The main thermodynamic properties of this first order phase transition in the canonical ensemble were found. These properties are as follows. The Helmholtz free energy per nucleon is the piecewise smooth function and its first order partial derivatives with respect to variables of state, i.e., the entropy per nucleon, the pressure and the chemical potential, are the piecewise continuous functions. At the points of phase transition, the free energy per nucleon is a continuous function which has a cusp both as a function of $v$ at fixed $T$ and as a function of $T$ at fixed $v$; however, the first order partial derivatives of the free energy with respect to variables of state, i.e. the entropy per nucleon, the pressure and the chemical potential, have jump discontinuities. The second order partial derivatives of the thermodynamical potential, i.e. the heat capacity per nucleon, the compressibility and the susceptibility per nucleon, have the infinite maximum or minimum at the points of phase transition. The phase diagrams $T-v$ and $T-\rho$ are represented by the coexistence lines; however, the phase diagrams $T-s$, $T-p$, $T-\mu$, $v-s$, $v-p$ and $v-\mu$ are depicted by the coexistence areas. The excitation energy per nucleon in the caloric curve is discontinuous in the canonical ensemble at constant value of temperature and fixed values of the specific volume. The pressure in the isotherms $p-\rho$ and the chemical potential in the dependence $\mu-\rho$ are discontinuous at constat value of the specific volume and fixed values of the temperature.

We have shown that the first order phase transitions can be classified by the thermodynamic potentials of the statistical ensembles. We have also found that the first order phase transition associated with the Helmholtz free energy in the canonical ensemble requires the discontinuity of not only the extensive variables but also the intensive one. The Gibbs phase rule for this phase transition was formulated. It differs from the usual Gibbs phase rule of the first order phase transition of the liquid-gas type associated with the Gibbs free energy. The first order phase transition associated with the Helmholtz free energy is a consequence of thermal equilibrium between the system of nuclei and the environment which can exchange only heat with neither particle exchange nor work.

{\bf Acknowledgments:} This work was supported in part by the joint research project of JINR and IFIN-HH, protocol N~4063. I would like to acknowledge valuable remarks and fruitful discussions with A.S.~Sorin and D.V.~Anghel.

redpajama_set_name: RedPajamaArXiv


Stuff speaks to us. Sometimes it says nice things; sometimes it fills subconscious ears with tired, limiting tunes about your own worth or prospects, hindering evolution towards higher versions of yourself.
I'm back in clutter-clearing mode. Having moved three times in four years, I've had no choice but to radically pare down my possessions. Yet, somehow, this still doesn't feel like enough. The process has made me hyper-aware of how inner and outer worlds mirror each other. This year, I'm letting go because I feel like it, not because I have to.
I've begun my spring cleaning, parting with those objects which no longer reflect my new goals and visions. Making space for fresh music, ideas, and art projects. Celebrating by smudging freshly cleaned corners with sage, heightening the ritual and speeding up the spell. Switching my focus forward. Choosing consciously who I want to become, rather than letting "who I've been" shape my every heartbeat. It's amazing how getting rid of even one object, or cleaning out a single drawer, can shift the rhythm of a room—and by extension, your life.
Feeling a little lighter already. Younger even. This is me. Loving today.
« I strongly agree with you Kim. At this moment of my life, I'm continuing, and battling with my process on who I want to become. Today is a critical moment for me to be very real with my inner self and choosing who I want to become. Especially loving myself. I've discovered in time that the only sense about my passage on this earth is to love and to be loved. I have been going through difficult times this past month regarding a person that I love very deeply. I hope that life will lead us to understanding and to love one another as never before. A decision must be made within the next days because it's too painful. The time is now for me to carry on with my goals. And my most important one is to love and to be love by this special someone I love and admire so dearly. That said, I myself, am not materialistic. Getting rid of objects surely shifts the rhythm of my life in setting new goals and setting new visions in my life's journey. And to become who I want to be rather than who I have been. » Well said Kim!


Carson CA is the youngest municipality in LA's South Bay region, and perhaps unsurprisingly it looks more to the future than the past. In fact, its motto is "Future Unlimited." Hopefully the many students at the local California State University Dominguez Hills take this motto to heart. This branch of CSU is known for being one of the most diverse campuses in the country. Carson CA has an unusual amount of undeveloped land awaiting future opportunities. At The Law Offices of Larry H. Parker, we are here to provide superior quality legal representation to residents of Carson CA just like you. We handle all kinds of plaintiff's issues, including automobile accident cases, personal injury lawsuits, workers' compensation claims, and employment law issues. You can rely on our experienced attorneys to fight aggressively to protect your rights under the law and help you secure the compensation you need and deserve. We offer free case evaluations and no risk representation.


Joseph Broghammer, who may be best known for his signature "Flock of Joe," edgy pastel drawings of birds with an attitude, will return to the Garden of the Zodiac in March, this time with more current work, from down on the farm, pasture or prairie.
Works in this solo exhibit are drawings with chalk pastel and pencil on paper from 22" by 24" to 42" by 43" in size. About 20 will be on display until May 21.
Although Brogrammer's imagery is more domestic of late, a mix of bovine, bison, sheep, pigs and horses, his aesthetic of an engaging palette, delidate precise detail and offbeat point of view make his animals both familiar and individual. Which is to say that each of his "pets' have a personality. Broghammer's to be exact. But each piece remains true to its own nature as well.
"I want to show the true personality of each animal," he said. "I am not trying to make them something they aren't. Some of the animals are drawn with a story embellishment overlay and some or just the beast.
Not that each animal spells out what it may signify or reveals itself easily to the viewer. In the past, Broghammer's flock or herd have mostly been personal Cairns on his own quest for meaning. A rather unique blend of mark making and marking one's trail.
"It's a journey in life we all have to discover about ourselves," he said. Make what you will of it.
Joseph Broghammer's solo exhibition opens Thursday, Mar. 23 from 7-9 p.m. at the Garden of the Zodiac Gallery in the Old Market Passageway. For more details and gallery hours, go to https://www.facebook.com or call 402.341.1877.
'Close Imaginary Time'Vaccines. Are They Safe? Are They Effective?


text:
mill grinding and tailing
Gold and Tailings: The Standard Mill at Bodie, California
The Standard mill's location made it convenient to impound its tailings on the large flat adjacent to the mill rather than lose the tailings for someone else to reprocess. The new Standard Consolidated prospered for several years, but in the late 1880s, as most of Bodie's other mining companies went out of business, Standard began to
AMIT 135: Lesson 1 Introduction – Mining Mill Operator
Often just as challenging and costly is the processing of the ore, which takes place in mills, smelters and refineries. Processing requires crushing and grinding to liberate the minerals. After liberation, separation processes are used to concentrate the valuable mineral. The final step removes water from the concentrate and tailings.
The development of ultra-fine grinding at Anglo Platinum
applications for mainstream grinding and concentrate grinding are the subject of a group-wide research and development programme. The first 10 000-litre 2.6 MW IsaMill was jointly developed by Anglo Platinum, Xstrata Technology and Netszch for installation at the Western Limb Tailings Re-treatment project in Rustenburg, South Africa.
Silver Gold Recovery Flotation Process
Oct 17, 2016· The cleaner tailing is returned to the tube mill circuit and the rougher tailing is discarded; the combined concentrate, amounting to between 6 and 7% of the tonnage milled, is dried, roasted, and cyanided. An overall extraction of more than 90% of the precious metals is made by .
Conventional Uranium Mills
Mill tailings are the fine-grained, sandy waste byproduct material that remains after the milling process has extracted and concentrated the uranium from the ore. Mill tailings are typically created in slurry form during processing, and are then deposited in an impoundment or "mill tailings pile," which must be carefully regulated, monitored
From Tailings to Treasure? Miners Make Money Reprocessing
May 07, 2015· Mintails, a mine tailings processor, has developed new technology to process 350,000 tons of slimes from its extensive tailings resources. It expects to recover 58 kg of gold per month, and has enough slimes to last until 2025. Goldfields has also developed new technology for a tailings retreatment plant, and processes 12,000 tons of current
Merrit Mill & Tailings Facility
The mill is a 200 tonne per day crushing, grinding and flotation mill, permitted to conduct custom milling of ore, and is located 10 kilometers northwest of Merritt, BC. The mill was constructed in the fall of 2012 together with the fully lined tailings facility.
Regrinding Gold Tailings In A Mini Ball Mill! Better
Jun 20, 2021· Regrinding some gold quartz ore tailings through a mini ball mill to a finer mesh to see if there is any free gold that has not been liberated and recovered
Moab Marks Milestone of Moving 11 Million Tons of Mill
Oct 20, 2020· MOAB, Utah – EM's Moab Uranium Mill Tailings Remedial Action (UMTRA) Project achieved an EM 2020 priority on Oct. 19 after relocating another million tons of contaminated soil and debris away from the Moab Site and the Colorado River, bringing the project's cumulative total of mill tailings disposed to 11 million tons.. The achievement puts the site two-thirds of the way toward safely
Tailings are the materials left over after the process of separating the valuable fraction from the uneconomic fraction of an ore.Tailings are distinct from overburden, which is the waste rock or other material that overlies an ore or mineral body and is displaced during mining without being processed.. The extraction of minerals from ore can be done two ways: placer mining, which uses water
Uranium mill tailings sites
This program facilitated the cleanup of 15 million cubic yards of uranium tailings at former uranium mill sites in nine western Colorado communities. Because much of the cleanup is complete, the focus has shifted to primarily "Post-UMTRA issues," or the discovery of new uranium mill tailings material by private citizens, utility companies or local governments.
Tailings Mineral Industry Solution
Tailings Paste Thickening Grinding. Grinding mills liberate the ore from the gangue material (non-ores: silica, organics), and reduce it to an optimal size for flotation. Water mixes in to form slurry. This helps both in the transportation and separation of the solids.
Grinding (Comminution)
8.2.7 Mill Feed and Tailing Grade. All samples discussed so far are composed of heterogeneous fragment sizes, and do not represent to be accurate. The mill feed ore is sampled after a continuous process of systematic mixing, crushing, grinding, and pulverizing in the beneficiation plant.
mill grinding and tailing_mill grinding and tailing – Grinding Mill ChinaThe Gulin product line, consisting of more than 30 machines, sets the standard for our industry. We plan to help you meet your needs with our eq
Golden Predator Recovers 79.9 to 90.8% Gold from 3 Aces
Jan 25, 2016· crusher, a 16" x 12" hammer mill and a single 4' x 8' shaker table. The shaker table produces 2 gravity grinding process may sufficiently grind the feed without the need for further classification or re-grinding. Tailings Sample Weight (g) Au-ICP21 (g/t) Au-GRA21 (g/t) Au Weighted Avg. (g/t) Rock +8 mesh 67.8* 7.64
grinding of mine tailings
Holden Tailings (Holden Mine, Chelan County, Washington
Photo No. 1.-Mill tailings pile number 1 with mine dumps in back ground, looking west, up valley of Railroad Creek. This pile was partially hydrauliced (1947), remilled, and pumped underground as sand fi II. This operation was apparently responsible for presence of tailings in the creek bank as no such condition exists along the
Historic Mills and Mill Tailings as Potential Sources of
basin that have especially large mill-tailings impoundments provide additional insights, especially on the topic of cata-strophic tailings failure. Although mills and tailings are part of 1 The word "metal" will be used in a broad sense in this report, to cover base metals (Fe, Cu, Pb, Zn), transition metals and metaloids (As, Sb, Se), with
Estimated Water Requirements for the Conventional
tailings. The tailings is the finely ground waste product (which generally represents more than 98 percent of the original copper ore) suspended in a water-based slurry that is emplaced in a tailings storage facility (TSF). Water is required for many activities at a mine-mill .
PRODUCTION AND DISPOSAL OF MILL TAILINGS IN THE .
mill tailings had reached Lake Coeur d'Alene and had impacted as much as 25,000 acres of floodplain along the river. From 1932 to 1946, mine and mill operators dredged more than 15 after crushing, grinding of the ore and separation of a significant portion of the economic minerals, as a waste product. During the first eighty-two years of
Golden Dawn to reactivate B.C. mill, shares up 43%
The mill consists of a permitted, modern crushing-grinding-gravity flotation facility with a process plant rated at 200 tonnes-per-day capacity, assay laboratory and tailing facilities "The process equipment has been kept under care and maintenance since December, 2008, and remains in good condition," the company said in a press release.
The price of tailings ore grinding mill equipment
Oct 16, 2018· Heavy Industry's MTW European Type Trapezium Mill has scientific and reasonable structure to integrate design, grinding, grading, transportation as a whole, can solve problems of low productivity, high energy consumption and high maintenance cost. It is the ideal equipment to improve the processing efficiency of tailings ore. The price of tailing ore mill is .
Tailingsfo What Are Tailings?
The engineering characteristics of tailings are in most instances influenced by the degree of thickening and the method of deposition. It is therefore essential that while investigating the properties of tailings that the physical characteristics and material parameters (e.g. beach slope angles, particle size segregation, water recovery) that can occur as a result of varied deposition
Pemecahan Dengan Menggunakan Grinding Mill
roller mill for coal loesche pilot plant
reliable roll stone mining mill manufacturers
comparison between ball mill and roller mill
and bentonite rod mill machine
ball mill hpt cone crusher mobile cone crusher
roll mining mill manufacturer bangalore price list
indian hammer mill suppliers for aluminium crushing
what mining mill is used in coal extraction
Kenya steel mill crushing plant

redpajama_set_name: RedPajamaCommonCrawl


text:
Scott Fujita breaks down Trent Richardson deal
Posted by Gerardo Orlando (09/20/2013 @ 1:22 pm)
There's has been a very wide range of opinions on the trade of Trent Richardson by the Browns to the Colts. As a Browns fan I was shocked at first like everyone else, but when I thought about it the deal made a lot of sense. Richardson is a good back and he's a physical specimen, but he has not lived up to the hype of the third overall pick and he's very injury prone. He dances way too much behind the line and often either doesn't hit the right hole or doesn't hit a hole at all.
On the other hand, it also can make sense for the Colts, who have a franchise quarterback and now add a running back to the mix with a high ceiling. It just remains to be seen if Richardson can improve. Most great NFL backs are great right away. It's not like the quarterback position where experience is critical.
One very interesting take comes from Scott Fujita, who is already establishing himself as one of the most honest and insightful NFL commentators out there.
I can't speculate about what's in any one person's head, but when a player enters the league wearing headphones incessantly, shows up late for treatments, and makes little effort to engage with his teammates, he can quickly develop a reputation for being insular and high-maintenance.
It can be perceived that he isn't happy and that he's not making an effort to buy in. I've seen this happen countless times, especially in today's head down, keep-things-to-yourself culture.
Generally, you hope the player grows out of that coming into his second season, especially when there's been a complete regime change and everyone is expected to prove themselves all over again. Some players buy in, and some don't. Buy-in, even if it's just perceived, goes a long way. You have to be willing to show you want to be part of the team.
I have no idea what took place during Thursday morning's team meeting in Berea, the first since the trade was announced the previous afternoon. But my sense tells me a message was sent, loud and clear, even if nothing was spoken: No one is guaranteed a spot on this team. No one is bigger than the team. If you don't buy in, you don't belong on this team.
Maybe it's just a personality thing, but was Richardson the type of player to work hard and improve? The new coaching staff gave up on him two games in a row in the second half after he had trouble in the new offense.
Tags: Cleveland Browns, Indianapolis Colts, Scott Fujita, Trent Richardson
Running back injuries shake up fantasy drafts
Posted by Staff (08/16/2012 @ 11:12 am)
Ryan Mathews aims to look tough in this Twitter photo as he flexes his bicep and flashes his arm tattoo, but he got injured again in the first preseason game for the San Diego Chargers, shaking things up in the top 5 in many drafts.
Fantasy guru Evan Silva addresses this in one of his ongoing drafts where Mathews was the overall #2 pick before news broke of his injury. Now you grab him later as a value pick as he should be back by week 2-4.
Another injury involves Trent Richardson, who went #17 in this draft. It's not clear whether this pick was made before or after his latest injury news. Richardson, however, is expected to be back in week one. He'll certainly slip a bit in many leagues, but he has looked great in camp and should get a ton of carries in the Browns offense this year.
Tags: arm tattoos, Evan Silva, flexing biceps, NFL player tattoos, Ryan Mathews, Ryan Mathews flexing bicep, Trent Richardson, Trent Richardson carries, Trent Richardson workload
Brandon Weeden will start in Cleveland
This should be a very interesting NFL season for a lot of reasons, but watching rookies like Andrew Luck, Robert Griffin III and Brandon Weeden begin the season as rookie starters will definitely make for an interesting storyline.
The Browns names Weeden the starter today, which wasn't a surprise at all. He's looked very good in camp, as has Trent Richardson and Josh Gordon. Expect a completely different offense in Cleveland.
Tags: Andrew Luck, Brandon Weeden, Cleveland Browns, Josh Gordon, Robert Griffin III, Trent Richardson
Can D'Qwell Jackson lead Browns defense to a better 2012?
Posted by Gerardo Orlando (07/20/2012 @ 10:00 am)
Every year there's a team that gets zero respect from many in the national media. Last year it was the Cincinnati Bengals, who many thought could win a game with their rookie quarterback. Of course the Bengals went on to make the playoffs.
That's the NFL these days. Things change so much from year to year that many preseason predictions end up looking foolish. This year the team getting little respect is based in Cleveland, as many NFL gurus seem to be weighing the last 12 years of futility more than what's really going on in Cleveland.
Of course there are many questions surrounding the Browns, and they may end up as a very bad team this year, mostly because the team is very young, with rookies expected to start at quarterback, running back, right tackle and possibly wide receiver. We can all expect some growing pains.
But last year the defense was much better, led by the improbably resurgence of D'Qwell Jackson. Jackson had missed two years in a row from 2009-2010 as a result of tearing each of his pectoral muscles in consecutive years. many doubted he would ever play again, let alone return as a top player at his position. But Jackson defied all the odds, and he flourished under the new 4-3 scheme implemented in Cleveland under the new regime last season. Jackson is a tackling machine and he helped the young defense post solid numbers, keeping the Browns in many ballgames despite one of the worst offenses in franchise history.
Jackson will be counted on again, and naturally he needs to stay healthy. But the Browns are young and talented on defense, so that side of the ball should be fine if they stay healthy.
It's the offense that has some around the NFL predicting a long season for the Browns, but here they seem to be counting on a worse-case scenario. Sure, Brandon Weeden will be a 29-year-old rookie playing quarterback, and he may have some serious growing pains. But he has an amazing arm, and even if he struggles he should be a significant upgrade over Colt McCoy.
Trent Richardson is a rookie at tailback, but talented rookies often excel carrying the football, and a back like TRich can completely transform an offense.
As mentioned above, the Browns may also have rookies at right guard and wide receiver, but in 2nd round picks Mitchell Schwartz and Josh Gordon (supplemental draft), the Browns have added serious talent to positions of need.
The upside for this offense is significant. If Richardson reaches his potential, every defense will now need to respect the Browns running game, yet they also have to contend with Weeden's strong arm. When you consider the young defense led by Jackson and the revamped offense, the Browns are one of those teams where it's dangerous to predict an outcome for 2012, as anything is possible.
Tags: Cleveland Browns, D'Qwell Jackson, Trent Richardson
2012 NFL Draft: Team-by-Team Evaluations
Even though it'll be years before we can effectively grade the 2012 NFL Draft, that shouldn't stop anyone from having an opinion on how each team fared this past weekend.
Based on overall strategy, trades, value based on pre-draft projections, and the ability to improve rosters, here are team-by-team evaluations following the 2012 NFL Draft.
Teams look to draft impact players in the first round and the Cardinals did that by snagging Notre Dame receiver Michael Floyd at No. 13 overall. Thanks to having Larry Fitzgerald on the other side, Floyd will benefit from not having the pressure to perform like a No. 1 receiver. Landing Bobby Massie in the fourth-round presented value, but only if the Cardinals leave him as a right tackle (he won't succeed on the left side at the next level). Ryan Lindley is raw but he can make all of the throws and might be compete for a starting job in two or three years.
After stealing headlines in the first round last year with their trade for receiver Julio Jones, nothing about the Falcons' 2012 draft was flashy. They landed a guard/center in Wisconsin's Peter Konz that should be a starter for the next 10-plus years, as well as an intriguing project in offensive tackle Lamar Holmes. The Bradie Ewing pick in the fifth round was seemingly a reach but Troy defensive end Jonathan Massaquoi may have been a steal seven picks later. If Holmes winds up starting at left tackle in two years and Massaquoi surprises, this will be viewed as a solid draft.
Trading out of the first round and still having the opportunity to land Alabama outside linebacker Courtney Upshaw proved to be an excellent move by GM Ozzie Newsome. Upshaw is a great fit for Baltimore's defense and he should have plenty of motivation after falling out of the first round. Keep an eye on Cal Poly cornerback Asa Jackson, who could wind up being a sleeper in the fifth and if the Ravens can get Miami receiver Tommy Streeter to realize his untapped potential then Baltimore will have done well in the later rounds.
Gilmore is an excellent prospect and has the ability and talent to be a starter as a rookie. Cordy Glenn was a steal in the second round based on a) he was projected to go in the first and b) he offers plenty of versatility in that he can play guard and tackle. Florida State outside linebacker Nigel Bradham is a speed merchant and FSU offensive tackle Zebrie Sanders offers solid value considering he was projected to go in the third round.
Luke Kuechly will remind observers of Rams' middle linebacker James Laurinaitis in that he just makes plays and racks up tackles. Considering how much power running is done in the NFC South, the Panthers were wise to strengthen the middle of their defense with the selection of Kuechly at No. 9. When you watch the highlights, it's hard not to fall in love with Amini Silatolu's size and potential, although Carolina needs to be patient with his development because he played at a small school. Arkansas receiver Joe Adams was a solid edition in the fourth round because he brings speed, quickness, and toughness to the Panthers' receiving corps. He's someone that will go over the middle, make the tough catch, absorb a big hit and get right back up.
It'll be interesting to see how Boise State's Shea McClellin fits as a 4-3 defensive end. He's versatile, tough, and relentless, but he seemingly would have been a better fit as an outside linebacker in a 3-4. Assuming the Bears whip him into shape, Alshon Jeffery may wind up being Chicago's best selection in this draft and fans will love H-Back Evan Rodriguez. Oregon State free safety Brandon Hardin is the wildcard of this team's draft class. Thanks to his size and speed he'll be able to cover tight ends and backs in the middle of the field, but he missed all of last season with a shoulder injury so it's tough to evaluate him at this point.
The Bengals filled needs in their first five picks and landed two potential first-year starters in Dre Kirkpatrick and Kevin Zeitler. Kirkpatrick will bring toughness to Mike Zimmer's secondary while Zeitler should anchor one of the Bengals' guard positions for the next 10-plis years. In the fourth, the Bengals got a steal in tight end Orson Charles, who only slipped that far because of his DUI arrest a couple of months ago. He has second-round talent and played in a pro-style system at Georgia, so he should be able to contribute from Day 1.
Trent Richardson was the best prospect in this year's draft and there's no doubt that he was the top player on most team's draft boards. The Browns had to trade three late-round picks in order to secure him at No. 3, but give them credit for guaranteeing that they would land the player they ultimately wanted. Brandon Weeden played in the spread offense at Oklahoma State, didn't face elite defenses in the Big 12, shrinks under pressure and is already 28. I wouldn't have invested a No. 1 pick in him but at least he can make all of the throws and the desire to compete is there. Mike Holmgren passed on a more talented offensive tackle prospect in Mike Adams when he selected the underwhelming Mitchell Schwartz, but the former Cal product should be serviceable on the right side. If you're looking for a potential sleeper out of the Browns' draft class, it's sixth-rounder Billy Winn. His work ethic has come under question and there are concerns about his durability, but he was a great value in the sixth thanks to his ability to rush the passer as an interior defensive lineman.
Jerry Jones did incredibly well to move up to No. 6 and land a top-5 prospect in Morris Claiborne. Forget his Wonderlic score – Claiborne can play and should start from Day 1. That said, this was a very underwhelming draft for the Cowboys. Outside of Claiborne, the other players they selected all seem to have lower ceilings. That's not to suggest that guys like Tyrone Crawford and Kyle Wilber aren't good fits or won't succeed, but it's doubtful they'll make big impacts. (Of course, the Cowboys were pretty set coming into the draft so it's not like they needed to find starters in the third or fourth rounds.)
Derek Wolfe was highly productive in college and he was a beast at times last season, but he was a reach at No. 36 overall. Brock Osweiler was this year's Ryan Mallett, minus all of the baggage. He has great size at 6-foot-7 and 242 pounds and a rocket for an arm, but he's extremely raw. (Good thing he'll have an opportunity to learn under Peyton Manning for the next couple of seasons.) Overall, the Broncos seemingly didn't draft any players that can make immediate impacts right away. Considering they made the playoffs last season that might not be a bad thing but this was an underwhelming draft overall.
Riley Reiff represented good value in the first round as he should start right away on the right side before eventually replacing Jeff Backus on the left. Ryan Broyles was projected to be a late first-round pick before he tore his ACL, so some observers love that pick in the second. That said, the ACL is a two-year injury and Broyles is a prototypical slot guy. Thus, there wasn't much value in taking him in the second, regardless of where he could have gone if he weren't hurt. Ronnell Lewis is the potential sleeper in Detroit's 2012 draft class. He's extremely physical, he's a solid tackler and he should contribute right away on special teams. That said, he wasn't overall productive and his durability is a concern.
Once again, Ted Thompson hits a home run. Nick Perry was inconsistent at USC but he's an explosive playmaker that will look great lined up opposite Clay Matthews in Dom Capers' 3-4. Jerel Worthy represented decent value in the second round and Casey Hayward was one of my favorite corner prospects coming into the draft. He's a highly instinctive corner with great technique and ball-hawking ability. The other pick I really liked was Andrew Datko in the seventh round. Had he not had a season-ending injury last year, he would have been taken in the first three rounds. When healthy, he has the potential to be a starting tackle on either the right or left side.
The selection of Whitney Mercilus in the first round was surprising but that doesn't mean he won't make an impact down the road. In fact, if Wade Phillips sticks around as Houston's defensive coordinator than Mercilus could be a stud in two or three years. The Texans did extremely will in the third and fourth round. Brandon Brooks wasn't invited to the scouting combine this year but he's a load at 6-foot-5 and 343 pounds. Fourth-round pick Ben Jones, who played in a pro-style system at Georgia, is a solid fit for the Texans' zone blocking scheme.
It's hard to argue with the Colts' first three selections. Andrew Luck gives the team a franchise signal caller to replace Peyton Manning, while Coby Fleener (Dallas Clark, anyone?) and Dwayne Allen will emerge as Lucks' primary weapons outside of Reggie Wayne. Alabama defensive tackle Josh Chapman was also an excellent pick based on the Colts' switch to a 3-4 defense next year. Chapman should plug a lot of holes for Indy's linebackers.
The Jaguars' first two picks were rock solid. They desperately needed a receiver that can make plays outside the number but they also had to get an edge rusher that could make an impact right away. Thus, leapfrogging the Rams for Justin Blackmon in the first and then coming back in the second to snag Clemson defensive end Andre Branch was excellent decision-making by GM Gene Smith. But then he drafted a punter in Brayn Anger in the third, which is just a joke – I don't care how good Anger turns out to be.
If Dontari Poe turns out to be more than just a workout warrior then the Chiefs would have had a very underrated draft. Jeff Allen was a solid pick up in the second round and fourth-round selection Devon Wylie is a highlight reel waiting to happen. Texas A&M running back Cyrus Gray was a very good value-based selection in the sixth as well.
There's a chance that this draft could turn out to be a total disaster for the Dolphins – it just depends on whether or not Ryan Tannehill and Jonathan Martin produce. Tannehill was arguably a second-round prospect that was drafted at No. 8 overall and Martin has some big question marks as well (most specifically whether or not he's just a finesse blocker that lacks that killer instinct). Tight end Michael Egnew was also a risky proposition in the third because he can't block. That said, Lamar Miller was a value pick in the fourth and might wind up being one of the steals of this year's draft.
The Vikings had a solid draft. Not only did GM Rick Speilman entertain draft followers with a plethora of pre-draft rumors to chew on, but he was also able to acquire three extra picks and still land the player he wanted in Matt Kalil at No. 4. Kalil should start right away and protect Christian Ponder's blindside for years to come. I wasn't big on the Harrison Smith pick at No. 29 but I really liked the Josh Robinson selection at No. 66. He has average size but he has outstanding speed and playmaking ability. Jarius Wright is also the perfect seam-buster out of the slot and Greg Childs is a potential sleeper in the fourth round. All in all, I really liked this draft.
Much like Ted Thompson and the Packers, it's not surprising to see Bill Belichick and the Patriots succeed on draft day. Belichick will probably turn Jones into a star and Hightower is a perfect fit as an inside linebacker in a 3-4. Illinois safety Tavon Wilson could make an impact right away and Arkansas' defensive end Jake Bequette reminds me of an undersized version of Justin Smith. Leave it to Belichick to also find value in Nebraska cornerback Alfonzo Dennard, who was a third-round prospect before he was arrested in the days leading up to the draft. If he pans out, the Patriots get a steal in the seventh. If he doesn't, then all they lose is a seventh.
The Saints lessened their chances to find impact players in this year's draft because they didn't have picks in the first two rounds. Akiem Hicks is the ultimate wildcard because at 6-foot-5 and 318 pounds, he has tremendous size for the position. But the book on him is that he couldn't play at LSU so he went to Canada and dominated at Regina. He could be a find or the ultimate flop – who knows? Nick Toon doesn't have a lot of speed but he has good size and fills the void left by Robert Meachem in the Saints' offense.
David Wilson is a boom or bust pick in my eyes. He has the explosion and quickness to be a dynamic playmaker at the next level but he also dances too much and he doesn't have great size. That said, he should succeed in the Giants' two-back system and give New York's offense yet another playmaker. Rueben Randle waited a long time to hear his name called but he's a perfect fit for the Giants' offense. He's a true vertical threat and a seam buster, which is what the now-departed Mario Manningham did for New York the past couple of seasons.
Rex Ryan could turn Quinton Coples into a star and it's hard not to root for Stephen Hill. His route tree was limited at Georgia Tech but he has size, speed and hands – he'll be fine. Demario Davis is a massive sleeper in the third round. He didn't draw a lot of attention at Arkansas State but he flies to the football and sifts through traffic extremely well. The rest of the Jets' draft was so-so in my eyes but the first three picks were all potential home runs.
Just like the Saints, the Raiders didn't have selections in the first two rounds so they limited their opportunities to find impact players. Tony Bergstrom is a massive tackle that will play guard in Oakland and if healthy, Arizona receiver Juron Criner could be a sleeper in the fifth. But overall, this wasn't a very inspiring draft and that's hardly the blame of new GM Reggie McKenzie. He wasn't left with much.
Andy Reid admittedly made mistakes in free agency last year but he's doing a hell of a job to make up for it this offseason. Fletcher Cox will have an opportunity to make an impact from Day 1 and California linebacker Mychal Kendricks fits perfectly with Philadelphia's aggressive scheme. He's a playmaker in every sense of the word and so is the raw but talented Vinny Curry, who was a Mike Mayock favorite in the second round. Had Brandon Boykin not broken his leg at the Senior Bowl he would have been drafted in the second round and thus, he was a steal in the fourth. And speaking of steals, Marvin McNutt and Brandon Washington were outstanding values in the sixth round. A receiver as productive as McNutt shouldn't have fallen all the way to the sixth round while the big-bodied Washington has second-round talent. This was an "A" draft.
Want to know why the Steelers continue to challenge for Super Bowls every couple of seasons? Because of drafts like the one they just had. David DeCastro is a top 15 pick that the Steelers got at No. 24. Thanks to his ability to play left tackle at the next level, Mike Adams was a steal in the second round and Sean Spence is a nice fit as an outside linebacker in the third. The massive Alameda Ta'amu is a capable replacement for nose tackle Casey Hampton and fifth-rounder Chris Rainey is the perfect change-of-pace back. Pittsburgh really did extremely well this past weekend.
Considering Melvin Ingram was projected by many to be selected in the first 12 picks, the Chargers did well to land the talented pass rusher at No. 18. He should make people forget about A.J. Smith's miss on Larry English three years ago. Both Kendall Reyes and Brandon Taylor were solid picks in rounds two and three, while tight end LaDarius Green may surprise. He's not an in-line blocker but he has the ability to kill defenses down the seam thanks to his size and speed.
A lot of people viewed A.J. Jenkins as a reach at No. 30 but if the Niners had him atop their draft board then that's where they had to take him. There was no way he was going to fall to them in the second round, even if they traded up in the middle of the second. LaMichael James was an interesting pick in the second. He has tons of playmaking ability but whatever they call that turf in San Francisco could limit the shifty James, who will serve as Frank Gore's backup. Talk about value: Cam Johnson in the seventh? Nobody can seem to figure out why he dropped into the seventh round but the Niners did well not to let him hit free agency. Johnson is a third-round talent with a high ceiling.
I think Bruce Irvin could wind up surprising people. He's too small to play defensive end in a 4-3 and not stout enough to play otuside linebacker in a 3-4, but if the Seahawks can get creative with him he has the skillset to be disruptive. That said, would I have drafted him that high? There's no way. And with all of the trading that was going on in the first round, it's jarring that Pete Carroll didn't try to trade back even more and taken Irvin much later. The Hawks did well by adding Utah State inside linebacker Bobby Wagner because Barrett Ruud can't be this team's starter in the middle. Russell Wilson is short but he's extremely smart and could challenge for the starting quarterback role in a couple of years. Robert Turbin is one of the bigger sleepers in this draft. He's not overly fast for the position but he's a hard North-South runner that will make holes when they're not there.
The Rams missed out on Justin Blackmon but Michael Brockers is the best run-stuffing defensive tackle in the draft and he's got more pass-rushing tools than given credit for. Mark my words: Brian Quick will be a stud in the NFL. He didn't hit a growth spurt until late in high school so he wasn't on the radar of most big-time schools. But he tore it up at Appalachian State and has the combination of size, speed and athletic ability that NFL teams covet. He and fourth-round pick Chris Givens will compliment each other well and should upgrade the Rams' biggest weakness. Janoris Jenkins is the ultimate wildcard because of his baggage but there's no denying he can play. In fact, he might wind up being the best cornerback taken in the draft if he can stay focused. Fifth round pick Rokevious Watkins is a road grader and third-rounder Isaiah Pead will finally give the Rams a nice change-of-pace back to complement Steven Jackson in the running game. My only complaint about Jeff Fisher and Les Snead's first draft in St. Louis is that they missed on several good outside linebackers in the second round.
Given how much teams in the NFC South like to play power football (even the Saints despite their desire to throw the ball), the selection of Mark Barron was a solid one for the Bucs. Tampa also added two speedy backs in Lavonte David and Najee Goode, who could be a steal in the fifth round. Keith Tandy is an underrated prospect that can hit and run, while Doug Martin will be a nice complement to LaGarrette Blount. Greg Schiano added speed and toughness to Tampa Bay's roster in one draft.
While it came as a surprise, Kendall Wright was a great selection at No. 20. He doesn't have great height but he's a playmaker with run-after-the-catch abilities. I really like outside linebacker Zach Brown, who can be engulfed by offensive lineman but he sifts through traffic very well and is a sideline-to-sideline player. The Titans got excellent value with their last two picks, safety Markelle Martin and explosive defensive end Scott Solomon.
The Redskins parted with a ton of picks in order to land Robert Griffin III at No. 2, but at least they finally acquired a franchise signal caller. The Kirk Cousins selection in the fourth was a little surprising, not because he can challenge RGIII obviously but because Mike Shanahan didn't have picks to waste. Cousins could surprise as a nice backup but he's ultimately going to be a backup. Unless Shanahan expects to catch lightning in a bottle and can one day parlay Cousins into a first-round pick, I'm not sure why he didn't look to add another potential impact player in that round.
Posted in: NFL, NFL Draft
Tags: 2012 nfl draft, Andrew Luck, Bill Belichick, Bruce Irvin, Coby Fleener, Justin Blackmon, Matt Kalil, michael floyd, Morris Claiborne, Quinton Coples, Robert Griffin III, Ruben Randle, Ryan Tannehill, Stephen Hill, Ted Thompson, Trent Richardson
2012 NFL Draft: Five prospects that the experts can't seem to agree on
Final 2012 NFL Mock Draft
2012 NFL Mock Draft 2.0
Vikings not sold on Matt Kalil at No. 3?


text:
Driffield: 01377 252166,
Bridlington: 01262 675336
Richardson Ford Driffield
Richardson Ford Bridlington
Westgate, Driffield, East Yorkshire,
YO25 6SY
Hilderthorpe Rd, Bridlington, East Yorkshire,
YO15 3HP
Richardson Ford Master
Westgate, Bridlington, East Yorkshire,
Cosmetic & Paint Repair
RS Owners Club
Lease Contract Hire
Ford Insurance
Staff Scheme
Richardson Ford Celebrating 100 Years
A FAMILY BUSINESS FOR FOUR GENERATIONS CELEBRATING 100 YEARS
After over 100 years in business Richardson's is one of the oldest established businesses in the area still owned and managed by the same family after four generations.
Established in 1919, owners Paul & Toby Richardson are naturally very proud of their heritage, built over many years of providing services to the agricultural and motor industry throughout the East Riding of Yorkshire.
The business was established over 100 years ago in early part of the 20th Century by George Percival Pexton Richardson. George, a corn merchant married the love of his life Annie Maria (nee Pexton) who gave birth to their son Percy. At an early age Percy moved to Norton to live with his uncle John Fawcett Richardson and his family and then moved to Driffield to work on traction engines, gas engines and other steam machinery. Steam operated machinery was very much the motive power at the time.
The business was established by Percy in 1919 in Orchard Lane off Eastgate North. Possibly earlier from documentaries listed in recently discovered diaries. He later moved the business to Middle Street Driffield. As an engineer Percy worked with local farms, Driffield Water Works, Driffield Pure Oil, Cake and Linseed Mill, Thirsks Mill and many others in the surrounding area of Haywold, Kellythorpre, Pockthorpe, Bridlington and South Dalton. Agricultural machinery was very much a part of the business and he held agencies for Oliver tractors, machinery and Standard cars.
In 1927 the Ford car and tractor agency was acquired and with the help of his oldest son Alec Richardson the company developed, introducing farm fuel delivery service in the early 50's.
In 1958 the company expanded its agricultural operations with the opening of a Ford Dealership in Holderness which Alec opened and ran for the next 25 years until his death at the early age of 55 years young. The management of the company was carried on by his son Paul and Alec's brother, Geoffrey. They continued to grow the business and purchased the long established dealership Ripley's in Bridlington adding to their portfolio of Hull Bridge Garage near Tickton and an agricultural dealership in Ganton.
Eventually in 1982 the Company decided to concentrate on the car business selling all their agricultural operations.
Some thirty or so years ago Richardson's purchased the premises of what used to be Trenery's Central Garage which fronted onto Hilderthorpe Road and Savage Road. A little later the opportunity arose to buy the adjacent property which at that time was a Jacksons Supermarket. Despite the traumatic period in 1993 when a disastrous fire resulted in the major redevelopment of the Driffield Dealership the growth of the company was still firmly in mind. In 2004 the decision was made to redevelop and relocate Richardson's to the site bordered by Hilderthorpe Road Hamilton Road and Savage Road Bridlington. Architects were appointed and the development commenced in early 2006. Following the company's policy the main contractor and most of the sub-contractors were local companies. The result was a state of the art Ford dealership where customers were catered for. This Bridlington business now celebrates 100 years as a Ford Dealer.
Paul, Toby and the team pride themselves and focus on outstanding customer service. For over a hundred years, the team has worked hard to service customers through sales and aftersales care. They are exceptionally proud of the high percentage of repeat business and recommendations enjoyed each year.
Richardson's have gained unique recognition for their high standard of customer service, having won the Ford Chairman's Award on two separate occasions and have also been runners up twice. This prestigious award is based on the returns from customers in which their judgement of quality of service received from their dealer are assessed.
Richardson's have excellent relations with their Ford manufacturer partner who recognise the high standards in customer care. Richardson Ford is registered with the Motor Industry Code of Practice and stock a large variety of new and used vehicles at two dealerships located at Driffield & Bridlington.
Both locations have Service Centres and a Paint & Bodyshop Repair Centre is located at Bridlington with excellent highly trained technicians who have unrivalled knowledge of Ford vehicles and are equipped to carry out all repairs on all makes and models.
Richardson Ford always looks forward to welcoming you!
2020 WHAT CAR? of the Year Award - FORD PUMA
Overall 'CAR OF THE YEAR' Award What Car of the Year 2020 Ford Puma 1.0…
2020 WHAT CAR? of the Year Award - FORD RANGER
What Car of the Year 2020 Ford Ranger Double Cab 2.0 Ecoblue 170 XLT…
Driffield: 01377 252166
Sales Opening Times
Service & Parts Opening Times
Mon-Thur 8am to 5pm
Saturday 8:30am to 12pm
Bodyshop Opening Times
Registered Office: Westgate, Driffield, East Yorkshire, YO25 6SY | Telephone: 01377252166
VAT Number - 167485427 | Company Number - 280806 | Privacy Policy | Cookie Policy
Copyright © 2020 Richardson Ford. All Rights Reserved.


In the knowledge economy, 85% of your company's market value is driven by Intangible assets. You wouldn't make a financial investment without the proper due diligence, why then would you take a risk on your most important asset, your human capital. We help organizations gain comprehensive and reliable Insights on a candidate. We do this not by looking through a crystal ball but leveraging over 150 years of science that allow us to reliably predict future performance. Our clients tell us, when they have gone against our assessment-based recommendations, the long-term outcomes have usually not been in their favor. Assessments are useful not just for making hiring decisions. They also provide unique insights on development needs of new hires, as well as, estimates of ramp-up time. These insights help set expectations and create a supportive entry process for a new hire.


text:
Solar Power Generation in China - Industry Market Research Report
Solar Power Generation in China
The Solar Power Generation industry in China generates power by solar energy. The industry includes photovoltaic (PV) power generation and solar thermal power generation. Solar power generation usually refers to PV power generation, which uses solar cells to directly convert solar energy into electric energy.
This report covers the scope, size, disposition and growth of the industry including the key sensitivities and success factors. Also included are five year industry forecasts, growth rates and an analysis of the industry key players and their market shares.
$ 1020 - 1 User License - PDF $ 1530 - Department License - PDF $ 2040 - Site License - PDF $ 2550 - Corporate License - PDF
Topics related to Solar Energy
Integrated Solar Combined Cycle
India Power Market Outlook to 2030, Update 2021 - Market Trends, Regulations, and Competitive Landscape
106 pages • By GlobalData • Aug 2021
India Power Market Outlook to 2030, Update 2021 - Market Trends, Regulations, and Competitive Landscape Summary This report discusses the power market structure of India and provides historical and forecast numbers for capacity, generation, and consumption up to 2030.Detailed analysis of the country's...
Trinidad and Tobago Solar Energy Market - Growth, Trends, COVID-19 Impact, and Forecasts (2021 - 2026)
82 pages • By Mordor Intelligence LLP • Aug 2021
The Trinidad and Tobago solar energy installed capacity registered to be 3 megawatts (MW) in 2020 and is estimated to be around 184 MW in 2026, registering an expected growth at a CAGR of 109.24% from 2021 to 2026. However, the crash of global energy markets amid the COVID-19 pandemic and the growing threat of climate change provide an impetus...
Renewable Generation
Solar Power in the US - Industry Market Research Report
39 pages • By Ibisworld • Sep 2021
Ray of light: Government support will likely continue to help the industry compete with other energy sources Abstract Solar Power in the US The Solar Power industry has experienced clear skies over the five years to 2019, propelled by favorable government incentives in the form of renewable portfolio...
Electricity Consumption
Solar Lights Market Trends in China
131 pages • By Asia Market Information & Development Company • Aug 2021
This study focuses on China's Solar Lights market trends. In the two past decades, the market has been growing at a fast pace. The dramatic expansions of the manufacturing capabilities and rising consumer consumptions in China have transformed China's society and economy. China is one of the world's major producers...
Labour Force
Colorless Polyimide Films Market by Application, End-Use Industry And Region - Global Forecast to 2026
180 pages • By MarketsandMarkets • Aug 2021
The colorless polyimide films market is projected to grow from USD 70 million in 2021 to USD 1,162 million by 2026, at a CAGR of 75.3% from 2021 to 2026. The increasing demand for colorless polyimide films from applications such as flexible displays, flexible solar cells, and flexible printed circuit boards, among others, is expected to drive...
Flat Panel Display
Solar Cell
Solar Capacity
United Kingdom (UK) Power Market Outlook to 2030, Update 2021 - Market Trends, Regulations, and Competitive Landscape
95 pages • By GlobalData • Jun 2021
United Kingdom (UK) Power Market Outlook to 2030, Update 2021 - Market Trends, Regulations, and Competitive Landscape Summary This report discusses the power market structure of United Kingdom and provides historical and forecast numbers for capacity, generation, and consumption up to 2030.Detailed...
Solar Panel Manufacturing in the US - Industry Market Research Report
42 pages • By Ibisworld • Jul 2021
Solar power: The industry is expected to benefit from greater international demand for solar panels Abstract Solar Panel Manufacturing in the US The Solar Panel Manufacturing industry, which manufactures solar modules and cells in the United States, experienced large fluctuations in revenue over the...
Employment Income
Polysilicon Price
Solar Energy Market - Growth, Trends, COVID-19 Impact, and Forecasts (2021 - 2026)
363 pages • By Mordor Intelligence LLP • Jun 2021
The global solar energy installed capacity registered to be 728 GW and is estimated to be 1645 gigawatts (GW) in 2026 and are expected to grow at a CAGR of 13.78% from 2021 to 2026. With the COVID-19 pandemic in 2020, the global solar energy market did not witness any direct significant impact. In fact, many countries ramped up solar panel...
India Renewable Energy Policy Handbook 2021
46 pages • By GlobalData • Jul 2021
India Renewable Energy Policy Handbook 2021 Summary "India Renewable Energy Policy Handbook 2021" is among the latest country specific policy reports from the industry analysis specialist. The report offers comprehensive information on major policies governing the renewable energy market in the...
Renewable Energy Target
Solar Farm Developers - Industry Market Research Report
Sunny days: As tax credits remain in effect, demand for solar farms is expected to continue rising Abstract Solar Farm Developers The Solar Farm Developers industry has expanded over the five years to 2018. Demand for construction of utility-scale solar power projects has skyrocketed thanks in large...


text:
Vubiquity Launches AnyVu Cloud for Multiplatform Delivery
Video services company Vubiquity announced the launch of AnyVu Cloud today, a platform that provides multiplatform video services and is intended to help customers get new offerings to market faster.
According to Darcy Antonellis, Vubiquity's CEO, AnyVu Cloud is built on the company's experience in licensing, managing, and delivering video. Service providers can use the new platform to quickly launch new offerings, and know that it will support new or emerging services as they're developed.
AnyVu Cloud comes with a library of licensed video-on-demand content as well as streams for on-demand and live linear video. Vubiquity says it was designed to manage growing video libraries and to support product testing.
The platform is intended to be the first component in a system that will include other modular services. The company plans to announce ecosystem partners in the coming months.
Vubiquity also announced a partnership with Akamai today where the two companies will provide content-as-a-service using both AnyVu Cloud and Akamai's Intelligent Platform. Together, they offer a content library as well as cloud preparation, management, and delivery. Akamai says it can ensure a strong user experiences with its global delivery platform and content delivery network. The companies plan to deliver content to viewers in 90 countries through service provider customers.
Vubiquity: The Two Unstoppable Advantages of TV Everywhere
Think TVE is DOA? Think again. It offers consumer benefits that the OTT services can't begin to touch. Now it just needs to exploit them.


Bhopal, 3 February 2019 (Ataullah Faizan): Minister for Urban and Housing Shri Jaivardhan Singh performed bhoomi poojan of four lane road to be constructed under the Master Plan from Sonagiri via Rajat Nagar to Ayodhya Bypass. The road will be constructed at a cost of Rs. 5 crore 25 lakh.
Minister Shri Jaivardhan Singh said that besides constructing a smart road, problems of water, road and sewage of the ward will be resolved soon. He mentioned that quality in works is our priority. Shri Singh stated that success is sure, if we learn more and more from the working style of the Former Chief Minister Shri Babulal Gaur. He said that the door of his house and office is always opened to redress any kind of problem.
Moreover, Shri Singh has informed that Yuva Swabhiman Yojana is being implemented in the state. Employment of 100 days will be ensured for urban youth aged between 21 and 30 under the scheme. He mentioned that basic amenities in all the urban bodies will be developed on priority.
The Former Chief Minister Shri Babulal Gour said that this is public programme. He mentioned that metro rail should be started soon in the city. He stated that approximately 2 crore 50 lakh people reside in cities and the responsibility to ensure facilities to them lies with the urban development and housing department. Member of Legislative Assembly Smt. Krishna Gour informed about the local problems. The Former MP Shri Sandeep Dixit and Former President of Municipal Corporation of Bhopal Shri Kaliash Mishra also expressed their views. The Corporator Shri Girish Sharma highlighted the problems of the ward.


text:
Foreign Policy: Theories, Actors, Cases
Editors: Steve Smith, Amelia Hadfield and Tim Dunne
Edition: Second
Foreign policy analysis (FPA) did not easily gain its present standing as a vital subfield within international relations. This reviewer's proposal to introduce FPA at the University of Sussex in the mid-1960s provoked the dismissive response from a senior colleague (not the great Martin Wight): "but this is just the study of diplomacy". This excellent text, now in a second edition, impressively documents how and why FPA has become a central component of international relations research and teaching.
FPA specialists had to establish convincing links between their original area of concentration - the domestic "inputs" into the externally directed "outputs" of a state's foreign policy (mental images, bureaucratic procedures, political calculations, lobbying, public opinion and the rest) - and the vast, multifarious and often unpredictable international environment into which the state's foreign policy actions are directed. This book's sophisticated clarification of this relationship (part of the bigger "agency-structure problem" in international relations) is among its many major contributions.
The book splendidly applies the rousing principle that opens its foreword: "One of the great pleasures of teaching foreign policy theory is that it must always be grounded in empirical examples: the theory is of little interest unless one can utilize it in specific case studies."
The first section surveys the historical development and theoretical dimensions of FPA, discussing in practical terms how it may relate to the major schools of thought in international relations (defined as realism, liberalism, constructivism, and discourse analysis/post-structuralism). The second section covers the "actors, contexts and goals" of foreign policy, including the complex roles of domestic actors in policy-making and their significance in specific policy areas, such as national security and "economic statecraft". (The latter, disappointingly, concentrates on economic measures directed to political ends, and the whole volume contains little on the issues raised by the sub-field of international political economy.) Special mention should be made of the masterly general survey of FPA by Walter Carlsnaes, and the meticulous analysis by Elisabetta Brighi and Christopher Hill of "implementation and behaviour". This considers how the "outputs" of national foreign policy have not completed their journey, but only begun it, when they encounter the challenging world outside: a "structure", to be sure, but one that may impose constant adjustment in the implementation of policy.
Section three offers a dozen well-chosen case studies, introduced by an inspiring chapter from Steve Lamy, "Teaching foreign policy case studies". There are examples of essentially bilateral crises (Graham Allison on the Cuban missile crisis, Gareth Stansfield on Israel and Egypt in the Yom Kippur War); of the domestic basis of war-making (George W. Bush's and Tony Blair's policies towards Iraq); of national responses (in Canada, India, Brazil and Australia) to external issues; and of the new, complex foreign policy endeavours of the European Union.
Second- or third-year undergraduates taking FPA in a politics or international relations degree, or studying comparative policymaking.
Clear, comprehensive and very accessible.
Would you recommend it?
Yes, very strongly indeed.
The Anarchical Society: A Study of Order in World Politics
Author: Hedley Bull
Edition: Fourth
Publisher: Palgrave Macmillan
Price: £70.00 and £26.99
ISBN: 9780230393394 and 93387
Conflict Graffiti, by John Lennon
Stefano Bloch applauds a brilliant account of what street art can reveal about people, places and politics
By Stefano Bloch
On Diversity, by Russell Jacoby
Michael Marinetto enjoys a bold attempt to challenge one of the great pieties of our time
By Michael Marinetto
Hepi: 'first-generation student' tag unhelpful for admissions
Appealing narrative attached to 'first-in-family' students may obscure the actual extent of their social disadvantage, says researcher
By Jack Grove
What are you reading? – January 2022
A look over the shoulders of our scholar-reviewers
By Matthew Reisz


Football Football, game in which two teams of 11 players, using any part of their bodies except their hands and arms, try to maneuver the ball into the opposing teams goal. Only the goalkeeper is permitted to handle the ball and may do so only within the penalty area surrounding the goal. The team that scores more goals wins.


text:
Castro-Woolery knows well the challenges that women face in working or entering the workforce today.
March 7, 2022 March 7, 2022 Admin Leave a comment
Congratulations to Clemencia Castro-Woolery; featured in the latest Economic Development Board (EDB) Tacoma-Pierce County article!
Excerpt below:
Clemencia Castro-Woolery, partner, Ledger Square Law
"When I walk out the door of my office, I'm in my community, not a crowded elevator or parking garage."
"I love working here," said Castro-Woolery, a longtime Lakewood resident. "The community, especially the local Bar community, is far more collegial than in King County. It makes it much easier to negotiate deals and settle disputes."
Being in Pierce County isn't just about the legal stuff, she said. It's also about having opportunities to make her community a better place. Castro-Woolery has served on boards for multiple organizations, including the YWCA Pierce County, Asia Pacific Cultural Center, and more. She was also board chair of the Tacoma-Pierce County Chamber of Commerce amid the pandemic and in the wake of the death of George Floyd and the ensuing racial protests.
"It was momentous in terms of the changes we made," she said. Those changes included altering the Chamber's mission statement to emphasize it as an antiracist organization. "We helped make the South Sound the most equitable and inclusive place to do business in Washington state."
Full coverage: https://choosetacomapierce.org/news-events/women-mean-business-in-pierce-county/?utm_source=sendinblue&utm_campaign=EDB_Onward_March_2022&utm_medium=email
NewsClemencia Castro-Woolery, Economic Development Board For Tacoma and Pierce County, Lakewood City Council, Ledger Square Law, PIerce County, Tacoma, washington state
← Jason Whalen Appointed as Mayor of Lakewood