text:
\section{Introduction}

In high energy physics, in the decade of 1970 several important works have driven the physicists attention towards the study of localized magnetic structures such as vortices in the plane \cite{NO} and magnetic monopoles \cite{tH,Po} in three spatial dimensions; see also \cite{PS,Bo,MS} for other interesting investigations. Together with these theoretical studies of magnetic monopoles, one can also construct dyons, which are spatially localized structures that carry both electric and magnetic charges \cite{JZ}. Similar configurations can also appear in the plane, as shown in Refs. \cite{HK,JW}, where the study of vortices with Chern-Simons dynamics ensured the presence of magnetic vortices engendering electric charge.

We can also consider electrically charged localized structures with trivial magnetic behavior. Long ago,  phenomenological models inspired by the Landau–Ginzburg–Devonshire (LGD) procedure \cite{La,Gi,De} have been considered to investigate physical properties of ferroelectric materials; see, e.g., the recent reviews \cite{FE1,FE2} and references therein for other related investigations. In high energy physics, in the decade of 1970, in Ref. \cite{Le1,Le2,Le3,Review,Review2} the authors considered modification of the electric properties of the medium to account for the possibility to describe bag-like models for solitons. Moreover, in the decade of 1980, other studies examined models capable of supporting spherically symmetric, charged and spatially localized configurations referred to as q-balls in Refs. \cite{QB1,QB2,QB3}. In the recent years, some of us have investigated q-balls in distinct scenarios in Refs. \cite{QB4,QB5,QB6,QB7}. In particular, in \cite{QB5,QB6,QB7} we considered the possibility of constructing compact \cite{QB5}, split \cite{QB6} and quasi-compact \cite{QB7} objects of the q-ball type, with the different profiles of the solutions directly related to the presence of distinct self-interactions in the potential that controls the complex scalar field.

More recently, in Ref. \cite{electric} the study considered the construction of models that support structures engendering electric charge in the absence of magnetic properties in another context, different from the case of q-balls. Moreover, in \cite{ED} we used electric dipole in a medium with electric behavior controlled by a real scalar field to induce new effects of current interest. These recent results have inspired us to go further and explore other possibilities in the present work. The main line of investigation is implemented considering multi-field scenarios, in which two or three real scalar fields are added to account for distinct physical properties of the solutions and control their internal structures. The presence of several fields leads to more complicate scenario, since we are dealing with coupled nonlinear differential equations. However, under some specific conditions, we have been able to develop an interesting procedure, which help us to simplify the mathematical calculations and find stable analytical configurations of current interest in high energy physics, with potential application to other areas of nonlinear science.

In order to describe the construction of localized and electrically charged structures, we organize the present work as follows. In Sec. \ref{sec2}, we start reviewing some basic properties of the standard classical electrodynamics in the presence of a external charge, and then including a single real scalar field which couples to the electromagnetic field via an unusual non-minimal coupling. This gives rise to the Maxwell-scalar model \cite{electric,ED} which we further study in this work. Before doing this, however, in Sec. \ref{sec2} we also review the construction of domain wall that mimics Bloch wall, as investigated before in Refs. \cite{b1,B2} in the presence of two real scalar fields. We then introduce one interesting model in Sec. \ref{sec3}, where we consider two real scalar field non-minimally coupled to the electromagnetic field to describe charged field configurations. In Sec. \ref{sec4} we examine another model, in the presence of three scalar fields, the third one used to control the internal structure of the charged configurations. We then end the work in Sec. \ref{sec5}, adding some comments and distinct possibilities of continuation of the present study.

\section{General Considerations}\label{sec2}

In this work, we deal with the construction of spatially localized configurations in Minkowski spacetime with $(D,1)$ dimensions, with $D$ specifying the number of spatial coordinates. Our main interest here is to describe electrically charged configurations, so we first review the case of the electromagnetic field in the presence of an external charge, the Maxwell-scalar model and Bloch wall solutions.

\subsection{Single point charge}
To better understand the present investigation, let us first review the standard electromagnetic model, described by the action $S=\int dt\, d^Dx\, {\mathcal L}$, with the Lagrangian density
\begin{equation}\label{elestd}
\begin{aligned}
   \mathcal{L}&=-\frac{1}{4}F_{\mu\nu}F^{\mu\nu} -A_{\mu}j^{\mu}.
\end{aligned}
\end{equation}
Here, $A^\mu$ stands for the electromagnetic field, $F_{\mu\nu}=\partial_\mu A_\nu-\partial_\nu A_\mu$ represents the  electromagnetic strength tensor and $j^\mu$ is a (conserved) source current. As it is well known, the equation of motion associated to this model is
\begin{equation}\label{mstd}
\partial_\mu F^{\mu\nu} = j^\nu.
\end{equation}
We now focus on electrostatics, on the particular case of a single point charge $e$, taking
\begin{equation}\label{current}
j^0=e\Omega(D)\delta(\textbf{r}) \quad\text{and}\quad j^i=0,
\end{equation}
where $\Omega(D)=2\pi^{D/2}/\Gamma(D/2)$ denotes the $D$--dimensional solid angle, introduced in this expression for convenience. Considering that $\vec{E} = \left(F^{10},F^{20},\ldots,F^{D0}\right)$, one can show that Eq.~\eqref{mstd} leads to
\begin{equation}\label{estd}
{\bf E} = \frac{e}{r^{D-1}}\,\hat{r}.
\end{equation}
This field is divergent at the charge location, $r=0$. It was found in Ref.~\cite{electric} that one can regularize this behavior by introducing a scalar field to control the electric permittivity of the system, with the Lagrangian density \eqref{elestd} changed to
\begin{equation}\label{elemod}
\begin{aligned}
   \mathcal{L}&=-\frac{1}{4}P(\phi)F_{\mu\nu}F^{\mu\nu}+\frac12\partial_{\mu}\phi\partial^{\mu}\phi -A_{\mu}j^{\mu}.
\end{aligned}
\end{equation}
The coupling between the scalar and gauge field is unusual, non-minimal, and the system is referred to as the Maxwell-scalar model; see, e.g., Refs. \cite{electric,ED}. In this situation, with the same charge considered in Eq. \eqref{current}, the electric field in Eq.~\eqref{estd} is modified to
\begin{equation}\label{estd}
{\bf E} = \frac{e}{r^{D-1}P(\phi)}\,\hat{r}.
\end{equation}
The above equation allows one to show that the scalar field is independent from the gauge field. If the permittivity is $P(\phi)=e^2/W_\phi^2$, the scalar field $\phi=\phi(r)$ is governed by the first order equation
\begin{equation}
\phi^\prime = \frac{W_\phi}{r^{D-1}},
\end{equation}
where the prime represents derivative with respect to the radial coordinate $r$, and $W_\phi=dW/d\phi$. So, for instance, one can consider a planar system, with $D=2$, and take $W=\phi-\phi^3/3$; in this case one gets $\phi = (r^2-r_{0}^{2})/(r^2+r_{0}^{2})$ and ${\bf E} =\hat{r}\, [2rr_{0}/(r^2+r_{0}^{2})]^{4}e^{-1}r^{-1}$. If, instead, one considers $D\geq3$, it is possible to find the analytical expressions $\phi=\tanh(-1/(D-2)r^{D-2})$ and ${\bf E} = \hat{r}\,{\rm sech}^4(-1/(D-2)r^{D-2})e^{-1}r^{1-D}$.

In this paper, we investigate the behavior of a single point charge in a medium with the electric permittivity controlled by two scalar fields that mimic domain wall of current interest, which we briefly review below.

\subsection{Domain walls}
It was shown in Refs.~\cite{b1,B2,Juan} that a model consisted of two scalar fields can be used to mimic the behavior of domain wall with internal structure. The Lagrangian density of interest is
\begin{equation}\label{blochmodel}
{\cal L}=\frac12\partial_\mu\phi\partial^\mu\phi+\frac12 \partial_\mu\chi\partial^\mu\chi-V(\phi,\chi),
\end{equation}
where the potential depends on both $\phi$ and $\chi$. In this subsection we consider a single spatial dimension. Minimum energy configurations, which lead to first order equations, may be obtained if the potential has the form
\begin{equation}
V=\frac12W_\phi^2+\frac12 W_\chi^2,
\end{equation}
where the subscripts represent partial derivatives with respect to the scalar fields. The model of interest arises with the auxiliary function $W=W(\phi,\chi)$ in the form
\begin{equation}\label{bnrt}
W=\phi-\frac13 \phi^3- k \phi\chi^2,
\end{equation}
in which $k>0$ is a real parameter. It describes interaction between the two scalar fields and induces interesting new behavior in the localized configurations which we explore in the present work. Remember that we are using natural units, and also, dimensionless fields and coordinates.

With $W$ given by Eq. \eqref{bnrt}, the potential becomes
\begin{equation}
V(\phi,\chi) = \frac12\left(1-\phi^2-k\chi^2\right)^2 + 2k^2\phi^2\chi^2,
\end{equation}
and static fields $\phi=\phi(x)$ and $\chi=\chi(x)$ ($D=1$) are governed by the following equations
\begin{subequations}
\bal
&\frac{d\phi}{dx}=W_{\phi}=1-\phi^2- k \chi^2,\\
&\frac{d\chi}{dx}=W_{\chi}=-2  k \phi\chi.
\eal
\end{subequations}
For $0<k<1/2$, one gets the analytical solutions
\begin{subequations}
\bal
&\phi=\tanh(2kx),\\
&\chi_\pm=\pm\sqrt{\frac1k-2}\, {\rm sech}(2kx).
\eal
\end{subequations}
These solutions connects the minima $(-1,0)$ and $(1,0)$, representing $(\phi,\chi)$. They are found with the use of the trial orbit method \cite{Raja,bflrorbit}, which allows us to decouple the first order equations. The solutions engender energy $E=4/3$.

\section{Charged configurations}\label{sec3}
We now investigate the following model in $(D,1)$ flat spacetime dimensions
\begin{equation}\label{lelebloch}
\begin{aligned}
   \mathcal{L}&=-\frac{1}{4}P(\phi,\chi)F_{\mu\nu}F^{\mu\nu}+\frac12\partial_{\mu}\phi\partial^{\mu}\phi + \frac12\partial_{\mu}\chi\partial^{\mu}\chi -A_{\mu}j^{\mu}.
\end{aligned}
\end{equation}
This Lagrangian density is inspired by the ones in Eqs.~\eqref{elemod} and \eqref{blochmodel}. Notice that, although this model has two scalar fields, $\phi$ and $\chi$, it is quite different from the one in Ref.~\cite{electric}, since the scalar fields are coupled exclusively by the electric permittivity here. The equations of motion are given by
\begin{subequations}\begin{align}
    &\label{eqm15}\partial_{\mu}\partial^{\mu}\phi+\frac{P_{\phi}}{4}F_{\mu\nu}F^{\mu\nu}=0,\\
    &\label{eqm16}\partial_{\mu}\partial^{\mu}\chi+\frac{P_{\chi}}{4}F_{\mu\nu}F^{\mu\nu}=0,\\
   &\label{18eq} \partial_{\mu}(PF^{\mu\nu})-j^{\nu}=0.
\end{align}\end{subequations}
Since we are interested in studying a single point charge fixed at the origin, $\textbf{r}=0$, we take the $j^\mu$ given by Eq.~\eqref{current}. Considering static fields and solving the Gauss' law which arises from $\nu=0$ in Eq.~\eqref{18eq}, we get the electric field
\begin{equation}
\label{Efield}
{\bf E} = \frac{e}{r^{D-1}P(\phi,\chi)}\hat{r}.
\end{equation}
This expression allows us to write the equations of motion in Eqs.~\eqref{eqm15} and \eqref{eqm16} for static fields as
\begin{subequations}
\bal
   & \label{eqm19}\frac{1}{r^{D-1}}(r^{D-1}\phi ')'-\frac{e^2}{2r^{2D-2}}\frac{\partial }{\partial\phi}\bigg(\frac{1}{P}\bigg)=0,\\
   & \label{eqm20}\frac{1}{r^{D-1}}(r^{D-1}\chi ')'-\frac{e^2}{2r^{2D-2}}\frac{\partial }{\partial\chi}\bigg(\frac{1}{P}\bigg)=0.
\eal
\end{subequations}
They are of second order and usually have nonlinearities and couplings between the fields due to the presence of the generalized permittivity. In order to get first order equations, we follow the lines of Ref.~\cite{Bo}. The energy density for this model is given by
\begin{equation}\label{1density}
\begin{aligned}
\rho &=\frac{1}{2}{\phi'}^{2}+\frac{1}{2}{\chi'}^{2}+\frac{P}{2}{|\textbf{E}|}^{2}\\
		 &= \frac{1}{2}{\phi'}^{2}+\frac{1}{2}{\chi'}^{2}+\frac{1}{2P}\frac{e^2}{r^{2D-2}}.
\end{aligned}
\end{equation}
To obtain the latter expression, we have used the electric field in Eq.~\eqref{Efield}. One can introduce the auxiliary function $W(\phi,\chi)$ to write the above expression in the form
\begin{equation}\begin{aligned}
   \label{edensity2}
    \rho &=\frac{1}{2}\bigg(\phi'\mp\frac{W_{\phi}}{r^{D-1}}\bigg)^{2}+\frac{1}{2}\bigg(\chi'\mp\frac{W_{\chi}}{r^{D-1}}\bigg)^{2}\\
    &+\frac{1}{2r^{2D-2}}\left(\frac{e^2}{P}-\left(W_{\phi}^2+W_{\chi}^2\right)\right) \pm \frac{1}{r^{D-1}} W'.
\end{aligned}
\end{equation}
If the permittivity has the form
\begin{equation}
\label{permit}
    P(\phi,\chi)=\frac{e^{2}}{W^{2}_{\phi}+W^{2}_{\chi}},
\end{equation}
one gets that the energy has a minimum value, that is,
\begin{equation}\label{ebogoelectric1}
E\geq E_B = \Omega(D)\left|\Delta W\right|,
\end{equation}
where $\Delta W = W(\phi(\infty),\chi(\infty))-W(\phi(0),\chi(0))$. The minimum energy, $E=E_B$, is attained when the following first order equations are satisfied
\begin{subequations}
\bal
\label{phisolutionD11}
&\phi'=\pm\frac{W_{\phi}}{r^{D-1}},\\
\label{chisolutionD11}
&\chi'=\pm\frac{W_{\chi}}{r^{D-1}}.
\eal
\end{subequations}
These equations allow us to rewrite the energy density \eqref{1density} as
\begin{align}\label{energyd3}
    \rho(r)=\phi'^2+\chi'^2\;.
\end{align}
We then consider the function in Eq.~\eqref{bnrt}, with the inclusion of a parameter, $\sigma$, in the form
\begin{align}
\label{newW}
    W(\phi,\chi)=\sigma\phi-\frac{1}{3}\sigma\phi^{3}-k\phi\chi^{2}.
\end{align}
  Here, $\sigma$ is real and positive parameter. It is  not needed when working in a single spatial dimensions (see \cite{b1,B2,Juan}). Nevertheless, as we shall see below, it is important here to avoid divergences in the energy density. Let us first deal with the first order equations \eqref{phisolutionD11} and \eqref{chisolutionD11}, which now read
\begin{subequations}
\bal
\label{phisolutionDn1}
&\phi'=\pm\frac{\sigma-\sigma\phi^{2}-k\chi^{2}}{r^{D-1}},\\
\label{chisolutionDn1}
&\chi'=\mp\frac{2k\phi\chi}{r^{D-1}}.
\eal
\end{subequations}
Using the trial orbit method \cite{bflrorbit}, one can show that these equations support the elliptic orbit
\begin{equation}
\label{orbit1}
    \phi^2+\frac{k}{\sigma-2k}\chi^{2}=1,
\end{equation}
with $0<k<\sigma/2$. It connects the minima $v_{1}=(-1,0)$ and $v_{2}=(1,0)$, for the pair of fields $(\phi,\chi)$. Using the above expressions, one can decouple the first order equation \eqref{phisolutionDn1}:
\begin{equation}\label{fophiorbitD1}
\phi'=\pm\frac{2k(1-\phi^{2})}{r^{D-1}}.
\end{equation}
It is of interest to notice that the explicit dependence on the radial coordinate $r$ in the right hand side of the latter equations is similar to the case studied in Ref.~\cite{prlbmm}. For simplicity, from now on, we consider the above equation with the upper sign. Next, we investigate the solutions for $D=2$ and $D=3$.

\subsection{Two spatial dimensions}\label{twospatial}
In two spatial dimensions, the first order equation \eqref{fophiorbitD1} becomes
\begin{equation}\label{fophiorbitD2}
\phi'=\frac{2k(1-\phi^{2})}{r}.
\end{equation}
It supports the solution
\begin{align}
    \phi(r)=\frac{r^{4k}-1}{r^{4k}+1}.
\end{align}
To find $\chi$, we use the orbit in Eq.~\ref{orbit1}. It leads us to
\begin{align}
\label{chi32}
    \chi(r)=2\sqrt{\frac{\sigma}{k}-2}\;\frac{r^{2k}}{r^{4k}+1}.
\end{align}
In the above expression, one must take $\sigma/k> 2$ to ensure that $\chi$ is real and non-vanishing, matching with the condition imposed below Eq.~\eqref{orbit1}. The solutions $\phi(r)$ and $\chi(r)$ are plotted in Fig.~\ref{figex}. Using the energy density in Eq.~\eqref{energyd3}, we get
	\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig1a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig1b}
		\caption{The solutions $\phi(r)$ (top) and $\chi(r)$ (bottom) associated to the model in Sec.~\ref{twospatial} for $\sigma=5$, with $k=1$ (solid, blue line) and $2$ (dotted, red line).}
		\label{figex}
		\end{figure}
\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig2a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig2b}
		\caption{The radial component of the electric field (top) for $e=1$ and the energy density (bottom) associated to the model in Sec.~\ref{twospatial} for $\sigma=5$, with $k=1$ (solid, blue line) and $2$ (dotted, red line).}
		\label{figex3}
		\end{figure}
\begin{equation}\label{energydensity35}
\begin{aligned}
    \rho(r)&=\frac{4k^2}{r^2}\bigg[\bigg(\frac{2r^{2k}}{r^{4k}+1}\bigg)^{4}\\
    &+\bigg(\frac{2r^{2k}}{r^{4k}+1}\bigg)^{2}\bigg(\frac{r^{4k}-1}{r^{4k}+1}\bigg)^{2}\bigg(\frac{\sigma}{k}-2\bigg)\bigg].
\end{aligned}
\end{equation}
The electric field in Eq.~\eqref{Efield} with the permittivity $P(\phi,\chi)$ in Eq.~\eqref{permit} take the form
\begin{equation}\label{1EFD2}\begin{aligned}
   E_r&=\frac{4k^2}{er}\bigg[\bigg(\frac{2r^{2k}}{r^{4k}+1}\bigg)^{4}\\
    &+\bigg(\frac{2r^{2k}}{r^{4k}+1}\bigg)^{2}\bigg(\frac{r^{4k}-1}{r^{4k}+1}\bigg)^{2}\bigg(\frac{\sigma}{k}-2\bigg)\bigg],
\end{aligned}
\end{equation}
where we have taken $\textbf{E}(r)=E_{r}\hat{r}$. Note that, asymptotically, both the energy density and the electric field goes to zero. On the other hand, near the origin, the first and second terms of the energy density are proportional to $r^{8k-2}$ and $r^{4k-2}$, respectively. In order to avoid divergences in the energy density, we take $k>1/2$. Since $\sigma/k>2$ must be satisfied, this condition imposes that $\sigma>1$. We have checked that these conditions are also sufficient to preserve the finiteness and the single valued character of the electric field. In Fig.~\ref{figex3} we depict the electric field \eqref{1EFD2} and the energy density \eqref{energydensity35}. The electric field has a distinct behavior when compared to the standard expression in Eq.~\eqref{estd}, as it engenders a valley near the origin and vanishes asymptotically. Thus, the scalar fields that models the Bloch wall regularize the electric field (and the energy density) engendered by a single point charge, localizing it in a ringlike structure. This feature can be seen in Fig.~\ref{figex5}, which displays the electric field and the energy density in the plane. The size of hole at $r=0$ is controlled by $k$, which gives the intensity of the coupling between the fields; see Eq.~\eqref{newW}. As expected from Eq.~\eqref{ebogoelectric1}, the total energy of this structure is $E=8\pi\sigma/3$.

\begin{figure}[t!]
		\centering
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig3a}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig3b}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig3c}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig3d}
		\caption{The radial component of the electric field (left, blue) with $e=1$ and the energy density (right, orange) associated to the model in Sec.~\ref{twospatial} depicted in the plane for $\sigma=5$, with $k=1$ (top), and $k=2$ (bottom). The intensity of the blue and orange colors increases with the increasing of the electric field and energy density, respectively.}
		\label{figex5}
		\end{figure}
\subsection{Three spatial dimensions}\label{sec2mb}
We now investigate the structure with $D=3$. Following similar steps of the planar case ($D=2$), one gets the solutions
\begin{subequations}
\bal
\label{1phi}
    &\phi(r)=\tanh(\xi(r))
    \\
    \label{1chi}
    &\chi(r)=\sqrt{\frac{\sigma}{k}-2}\;{\rm sech}(\xi(r)),
\eal
\end{subequations}
where $\xi(r)$ plays the role of a geometrical coordinate, with
\begin{align}
    \xi(r)=-\frac{2k}{r}.
\end{align}
We display the scalar fields in Fig.~\ref{figex2}. Notice that $\phi$ goes from $\phi=-1$ to $\phi=0$. Interestingly, $\chi$ becomes a monotonically increasing function in this scenario (differently from the planar case), connecting $\chi=0$ to $\chi=\sqrt{\sigma/k-2}$.
	\begin{figure}
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig4a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig4b}
		\caption{The solutions $\phi(r)$ (top) and $\chi(r)$ (bottom) associated to the model in Sec.~\ref{sec2mb} for $\sigma=5$, with $k=1$ (solid, blue line) and $2$ (dotted, red line).}
		\label{figex2}
		\end{figure}
The energy density of this structure can be written in terms of the coordinate $\xi(r)$, as
\begin{align}
\label{rho38}
    \rho(r)&\!=\!\frac{4k^2}{r^4}\bigg[{\rm sech}(\xi)^{4}+\tanh(\xi)^{2}{\rm sech}(\xi)^{2}\bigg(\frac{\sigma}{k}\!-2\bigg)\bigg],
\end{align}
and the electric field is given by
\begin{align}
\label{electricf1}
   \! E_{r}(r)&\!=\!\frac{4k^2}{er^2}\!\bigg[{\rm sech}(\xi)^{4}\!+\tanh(\xi)^{2}{\rm sech}(\xi)^{2}\!\bigg(\frac{\sigma}{k}\!-2\bigg)\bigg]\! .
\end{align}
	\begin{figure}
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig5a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig5b}
		\caption{The radial component of the electric field (top) with $e=1$ and the energy density (bottom) associated to the model in Sec.~\ref{sec2mb} for $\sigma=5$, with $k=1$ (solid, blue line) and $2$ (dotted, red line). The inset in the bottom figure shows the interval $\rho\in[0,0.04]$.}
		\label{figex4}
		\end{figure}

In Fig.~\ref{figex4} we display the electric field \eqref{electricf1} and the energy density \eqref{rho38} for some values of $k$ and in Fig.~\ref{Efielddensi} we illustrate their behavior in the plane passing through the center of the structure. Notice that, contrary to the $D=2$ case, these physical quantities are finite for any value in the allowed range of $k$. This means that $\sigma$ is not required here to avoid divergences and to ensure that the electric field is single valued. The total energy of this structure is $E=8\pi\sigma/3$.

		\begin{figure}[t!]
		\centering
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig6a}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig6b}
		\caption{The electric field in the plane (left, blue) with $e=1$ and the energy density (right, orange) associated to the model in Sec.~\ref{sec2mb} for $\sigma=5$ and $k=1$. The intensity of the blue and orange colors  increases with the increasing of the electric field and energy density, respectively.}
		\label{Efielddensi}
		\end{figure}

\section{Internal structure of charged configurations}
\label{sec4}
 In the previous section, we have shown that the permittivity controlled by scalar fields can regularize the behavior of the electric field generated by a single point charge, localizing it in a ringlike structure. Modifications on the profile of kinklike structures can be made through a function that changes the kinematic term \cite{multikink}. Inspired by this result, we investigate another model with three scalar fields described by the Lagrange density
\begin{equation}\label{lele}\begin{aligned}
   \mathcal{L}&=-\frac{1}{4}P(\phi, \chi, \psi)F_{\mu\nu}F^{\mu\nu}+\frac{1}{2}f(\psi)\partial_{\mu}\phi\partial^{\mu}\phi\\
    &+\frac{1}{2}f(\psi)\partial_{\mu}\chi\partial^{\mu}\chi+\frac{1}{2}\partial_{\mu}\psi\partial^{\mu}\psi -A_{\mu}j^{\mu},
\end{aligned}
\end{equation}
where $f(\psi)$ is a real and positive function. Notice that the field $\psi$ is dynamical and was introduced to modify the kinematics of the fields $\phi$ and $\chi$ associated to the Bloch wall. The scalar fields are also coupled in the electric permittivity, $P(\phi, \chi, \psi)$. We now have to solve the corresponding three equations of motion:
\begin{subequations}\begin{align}
   &\label{eqm33}\partial_{\mu}(f\partial^{\mu}\phi)+\frac{P_{\phi}}{4}F_{\mu\nu}F^{\mu\nu}=0,\\
    &\label{eqm34}\partial_{\mu}(f\partial^{\mu}\chi)+\frac{P_{\chi}}{4}F_{\mu\nu}F^{\mu\nu}=0,\\
   &\label{eqm35}\partial_{\mu}\partial^{\mu}\psi+\frac{P_{\psi}}{4}F_{\mu\nu}F^{\mu\nu}-\frac{f_{\psi}}{2}(\partial_{\mu}\phi\partial^{\mu}\phi+\partial_{\mu}\chi\partial^{\mu}\chi)=0.
\end{align}\end{subequations}
As before, let us consider static fields with the current given as in Eq.~\eqref{current}. By solving Gauss' law, we get the electric field in Eq.~\eqref{Efield} with the permittivity modified to $P(\phi,\chi,\psi)$. The set of equations for static fields is written as
\begin{subequations}\begin{align}
   & \label{eqm33}\frac{1}{r^{D-1}}(r^{D-1}f\phi ')'-\frac{e^2}{2r^{2D-2}}\frac{\partial }{\partial\phi}\bigg(\frac{1}{P}\bigg)=0,\\
   & \label{eqm34}\frac{1}{r^{D-1}}(r^{D-1}f\chi ')'-\frac{e^2}{2r^{2D-2}}\frac{\partial }{\partial\chi}\bigg(\frac{1}{P}\bigg)=0,\\
   & \label{eqm35}\frac{1}{r^{D-1}}(r^{D-1}\psi ')'-\frac{e^2}{2r^{2D-2}}\frac{\partial }{\partial\psi}\bigg(\frac{1}{P}\bigg)-\frac{f_{\psi}}{2}(\chi'^{2}  +\phi'^{2})=0.
\end{align}\end{subequations}
These equations are independent from the gauge field. However, they present couplings between the scalar fields. The inclusion of $\psi$ in the Lagrangian density makes the problem harder than before, as one now has to solve three nonlinear differential equations of second order. We then take advantage of the procedure in Ref.~\cite{Bo} to find first order equations to describe our model. The energy density associated to the field configuration has the form
\begin{equation}
\label{energyd22}
\begin{split}

		 \rho&= \frac{f}{2}({\phi'}^{2}+{\chi'}^{2})+\frac{1}{2}{\psi'}^{2}+\frac{1}{2P}\frac{e^2}{r^{2D-2}}.
\end{split}
\end{equation}
If one consider the function $W=W(\phi,\chi,\psi)$ and the permittivity is written as
\begin{equation}
\label{permit2}
    P(\phi,\chi,\psi)=e^{2}\bigg(\frac{W^{2}_{\phi}}{f(\psi)}+\frac{W^{2}_{\chi}}{f(\psi)}+W^{2}_{\psi}\bigg)^{-1},
\end{equation}

the equations of motion are compatible with the first order equations
\begin{subequations}\label{solutionsD}
\bal
\label{phisolutionD}
&\phi'=\pm\frac{W_{\phi}}{fr^{D-1}},\\
\label{chisolutionD}
&\chi'=\pm\frac{W_{\chi}}{fr^{D-1}},\\
\label{psisolutionD}
&\psi'=\pm \frac{W_{\psi}}{r^{D-1}}.
\eal
\end{subequations}
In this situation, the energy is minimized to $E_B=\Omega(D)\left|\Delta W\right|$, where $\Delta W = W(\phi(\infty),\chi(\infty),\psi(\infty))-W(\phi(0),\chi(0),\psi(0))$. By looking at Eqs.~\eqref{phisolutionD} and \eqref{chisolutionD}, we see that they contain the function $f(\psi)$. On the other hand, Eq.~\eqref{psisolutionD} is only driven by $W_\psi$, admitting a special case, for $W(\phi,\chi,\psi)=W_{1}(\phi,\chi)+W_{2}(\psi)$. This specific form of $W$ makes the first order equation \eqref{psisolutionD} become independent of $\phi$ and $\chi$, having the very same form of the first order equations for kinklike solutions investigated in Ref.~\cite{prlbmm}. By knowing the form of $\psi$, one can use it to feed the function $f(\psi)$, which can be seen as a source of geometrical constrictions \cite{multikink} in the Bloch wall, modeled by the solutions $\phi$ and $\chi$. The independence of $\psi$ can also be seen in the energy density \eqref{energyd22}, which can be written as the sum of two contributions, $\rho = \rho_1+\rho_2$, with
\begin{subequations}
\bal\label{rho1ele}
\rho_1&= f(\psi)({\phi'}^{2}+{\chi'}^{2}),\\ \label{rho2ele}
\rho_2&={\psi'}^{2}.
\eal
\end{subequations}
	\begin{figure}
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig7a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig7b}
		\caption{The solutions $\psi(r)$ in Eq.~\eqref{psid2fpsi2} (top), and the energy density in Eq.~\eqref{energydensityd2fpsi22} (bottom) for $\alpha=2$.}
		\label{psid2densityd2}
		\end{figure}

		\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig8a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig8b}
		\caption{The solutions $\phi(r)$ (top) and $\chi(r)$ (bottom) associated to the model in Sec.~\ref{model2da} for $\sigma=5$ and $\alpha=2$, with $k=1$ (solid, blue line) and $2$ (dotted, red line).}
		\label{figdensityn2}
		\end{figure}
To investigate how the inclusion of $\psi$ modifies the charged structure, we take $W_1(\phi,\chi)$ as the auxiliary function shown in Eq.~\eqref{newW} and
\begin{subequations}
\bal
\label{W1b}
W_{2}=\alpha\psi-\frac{1}{3}\alpha\psi^{3},
\eal
\end{subequations}
where $\alpha$ is a real and positive parameter. The first order equations \eqref{phisolutionD}-\eqref{psisolutionD} in this scenario are given by
\begin{subequations}
\bal
\label{phisolutionDn}
&\phi'=\pm\frac{\sigma-\sigma\phi^{2}-k\chi^{2}}{fr^{D-1}},\\
\label{chisolutionDn}
&\chi'=\pm\frac{2k\phi\chi}{fr^{D-1}},\\
\label{psisolutionDn}
&\psi'=\pm \frac{\alpha(1-\psi^{2})}{r^{D-1}}.
\eal
\end{subequations}
One can show that the first order equations \eqref{phisolutionDn} and \eqref{chisolutionDn} support the same orbit in Eq.~\eqref{orbit1}, which leads us
\begin{equation}\label{fophiorbitD}
\phi'=\pm\frac{2k(1-\phi^{2})}{f(\psi)r^{D-1}}.
\end{equation}
Notice the presence of $f(\psi)$ in this expression. As shown in Ref.~\cite{multikink}, it can be associated to geometrical constrictions in the solutions.

Let us now illustrate the above features, exploring distinct models in two and three spatial dimensions.

\subsection{Two spatial dimensions}\label{secftwo}
We first study the electrically charged structure in the special case with two spatial dimensions, $D=2$. The solution $\psi(r)$ that feeds the function $f(r)$ can be found from Eq.~\eqref{psisolutionDn}, which leads us to
\begin{align}
    \label{psid2fpsi2}
\psi(r)=\frac{r^{2\alpha}-1}{r^{2\alpha}+1},
\end{align}
where we have taken the condition $\psi(1)=0$, for simplicity. Its associated energy density \eqref{rho2ele} has the form
\begin{align}
     \label{energydensityd2fpsi22}
   \rho_{2}&=\frac{16\alpha^{2}r^{4\alpha-2}}{(r^{2\alpha}+1)^4}.
\end{align}
Notice that, the parameter $\alpha$ plays an important hole here as it may lead to a divergent behavior at the origin. To avoid divergences at $r=0$, we take $\alpha\geq0.5$. In Fig.~\ref{psid2densityd2} we plot the solution \eqref{psid2fpsi2} and the energy density \eqref{energydensityd2fpsi22} for $\alpha=2$. We then use this solution to feed the function $f(\psi)$ in the models which we present below.

\subsubsection{First model}\label{model2da}
The first model of interest arises with $f=1/\psi^2$. In this case, the fields associated to the Bloch wall are similar to Eqs.~\eqref{1phi} and \eqref{1chi}, with the geometrical coordinate $\xi(r)$ now given by
\begin{equation}
    \xi(r)=2k\bigg(\ln(r)-\frac{1}{\alpha}\frac{r^{2\alpha}-1}{r^{2\alpha}+1}\bigg).
\end{equation}

\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig9a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig9b}
		\caption{The radial component of the electric field (top) with $e=1$ and the energy density (bottom) associated to the model in Sec.~\ref{model2da} for $\sigma=5$, $\alpha=2$, with $k=1$ (solid, blue line) and $2$ (dotted, red line).}
		\label{figEFfpsi222}
		\end{figure}

The conditions for $\sigma$ and $k$ are the same of the ones discussed in Sec.~\ref{twospatial}. The solutions $\phi(r)$ and $\chi(r)$ are displayed in Fig.~\ref{figdensityn2} for $\sigma=5$, $\alpha=2$ and some values of $k$. The energy density of these solutions, $\rho_1$, is given by Eq.~\eqref{rho1ele}, which leads us to
\begin{equation}\begin{aligned}
    \label{energydensityd2fpsi2}
   \rho_{1}&=\frac{4k^{2}}{r^2}\bigg(\frac{r^{2\alpha}-1}{r^{2\alpha}+1}\bigg)^{2}\bigg({{\rm sech}}^{4}{(\xi)}\\
   &+{{\rm sech}}^{2}{(\xi)}{\tanh}^{2}{(\xi)}\bigg(\frac{\sigma}{k}-2\bigg)\bigg).
\end{aligned}
\end{equation}
The electric field, which we write again in the form $\textbf{E}(r) = E_r \hat{r}$, is obtained from Eq.~\eqref{estd} with permittivity in Eq.~\eqref{permit2}. Its expression is
\begin{equation}
\begin{aligned}
\label{EFD2fpsi2}
   E_r&=\bigg[4k^{2}{{\rm sech}}^{2}{(\xi)}\bigg(\frac{r^{2\alpha}-1}{r^{2\alpha}+1}\bigg)^{2}\bigg({{\rm sech}}^{2}{(\xi)}\\
    &+{\tanh}^{2}{(\xi)}\bigg(\frac{\sigma}{k}-2\bigg)\bigg)+\frac{16\alpha^{2}r^{4\alpha}}{(r^{2\alpha}+1)^4}\bigg]\frac{1}{re}.
\end{aligned}
\end{equation}
The electric field and the energy density are displayed in Fig.~\ref{figEFfpsi222}. We see that the parameter $k$, which controls the strength of the coupling between $\phi$ and $\chi$, controls the location of the peaks in the energy density and electric field. As $k$ increases, the valley at $r=0$ becomes larger and the peaks tends to accumulate near the valley outside the origin. To better illustrate these results, we display the radial component of the electric field and the energy density in Fig.~\ref{figEFfpsi2} in the plane. We see that both engender a ringlike character which becomes sharper as $k$ increases. The total energy of the configuration is $E=E_{1}+E_{2}=8\pi(\sigma+\alpha)/3$ as we expected from Eq.~\eqref{ebogoelectric1}.

\begin{figure}[t!]
		\centering
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig10a}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig10b}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig10c}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig10d}
		\caption{The radial component of the electric field (left, blue) with $e=1$ and the energy density (right, orange) associated to the model in Sec.~\ref{model2da} depicted in the plane for $\sigma=5$ and $\alpha=2$, with $k=1$ (top), and $k=2$ (bottom). The intensity of the blue and orange colors increases with the increasing of the electric field and energy density, respectively.}
		\label{figEFfpsi2}
		\end{figure}

\subsubsection{Second model}\label{model2db}
The second model that we investigate is driven by $f={\sec}^{2}{(n\pi\psi)}$. This model supports solutions similar to that in Eqs.~\eqref{1phi}--\eqref{1chi} with a new geometrical coordinate, $\eta(r)$, replacing $\xi(r)$, given by
\begin{align}
    \eta(r)=k\ln(r)+\frac{k}{2\alpha}\big[\textrm{Ci}(\xi_{+}(r))-\textrm{Ci}(\xi_{-}(r))\big].
\end{align}
In the above expression, Ci stands for the cosine integral function and $\xi_{\pm}(r)=2n\pi[1\pm (r^{2\alpha}-1)/(r^{2\alpha}+1)]$. In Fig.~\ref{figEFfpsi23} we show the solutions $\phi(r)$ and $\chi(r)$ for $\sigma=5$, $\alpha=2$, $n=2$ and some values of $k$. The solutions now present $2n$ inflection points that appear due to the form of the function $f$.
\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig11a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig11b}
		\caption{The solutions $\phi(r)$ (top) and $\chi(r)$ (bottom) associated to the model in Sec.~\ref{model2db} for $\sigma=5$, $\alpha=2$ and $n=2$, with $k=1$ (solid, blue line) and $2$ (dotted, red line). The inset in the bottom figure shows the interval $r\in[0.5,1.5]$ for $k=2$.}
		\label{figEFfpsi23}
		\end{figure}
The energy density in Eq.~\eqref{rho1ele} reads
\begin{equation}
\begin{aligned}
\label{densitycosn2}
    \rho_{1}&=\bigg[4k^{2}{{\rm sech}}^{2}{(\eta)}\cos^{2}{\bigg(n\pi\bigg(\frac{r^{2\alpha}-1}{r^{2\alpha}+1}\bigg)\bigg)}\bigg({{\rm sech}}^{2}{(\eta)}\\
    &+{\tanh}^{2}{(\eta)}\bigg(\frac{\sigma}{k}-2\bigg)\bigg)\bigg] \frac{1}{r^2},
\end{aligned}
\end{equation}
and the electric field in Eq.~\eqref{estd} takes the form
\begin{equation}\begin{aligned}
\label{EFd2fcos}
   E_r&=\bigg[4k^{2}{{\rm sech}}^{2}{(\eta)}\cos^{2}{\bigg(n\pi\bigg(\frac{r^{2\alpha}-1}{r^{2\alpha}+1}\bigg)\bigg)}\bigg({{\rm sech}}^{2}{(\eta)}\\
    &+{\tanh}^{2}{(\eta)}\bigg(\frac{\sigma}{k}-2\bigg)\bigg)+\frac{16\alpha^{2}r^{4\alpha}}{(r^{2\alpha}+1)^4}\bigg] \frac{1}{re}.
\end{aligned}
\end{equation}
In Fig.~\ref{CEDEK} we depict the electric field and the energy density for $\sigma=5$, $\alpha=2$, $n=2$ and some values of $k$. Notice that the internal structure in these quantities are much richer than before and, as $k$ increases, the inner ring becomes less and less visible. To better illustrate these features, we display the electric field and the energy density in the plane in Fig.~\ref{surfaced2}. This model has the same energy of the previous one, that is, $E=8\pi(\sigma+\alpha)/3$ as we expected from Eq.~\eqref{ebogoelectric1}, since it does not depend on $f(\psi)$.
\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig12a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig12b}
		\caption{The radial component of the electric field (top) with $e=1$ and the energy density (bottom) associated to the model in Sec.~\ref{model2db} for $\sigma=5$, $\alpha=2$ and $n=2$, with $k=1$ (solid, blue line) and $k=2$ (dotted, red line).}
		\label{CEDEK}
		\end{figure}
\begin{figure}[t!]
		\centering
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig13a}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig13b}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig13c}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig13d}
		\caption{The electric field (left, blue) with $e=1$ and the energy density (right, orange) associated to the model in Sec.~\ref{model2db} depicted in the plane for $\sigma=5$, $\alpha=2$ and $n=2$, with $k=1$ (top) and $2$ (bottom). The intensity of the blue and orange colors increases with the increasing of the electric field and energy density, respectively.}
		\label{surfaced2}
		\end{figure}

\subsection{Three spatial dimensions}
We continue our investigation of the model \eqref{lele}, studying it in three spatial dimensions. In this case, it supports the solution
\begin{align}
\label{psisolution}
    \psi=-\tanh\left(\frac{\alpha}{r}\right),
\end{align}
whose associated energy density \eqref{rho2ele} is
\begin{equation}
     \label{energydensityd322}
   \rho_{2} =\frac{\alpha^2}{r^4}{{\rm sech}}^{4}\left(\frac{\alpha}{r}\right).
\end{equation}
In Fig.~\ref{psid311} we depict the solution \eqref{psisolution} and the energy density \eqref{energydensityd322} for $\alpha=2$. Notice that there is a hole at the origin in the above energy density.
\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig14a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig14b}
		\caption{The solution $\psi(r)$ in Eq.~\eqref{psisolution} (top) and the energy density $\rho_{2}$ in Eq.~\eqref{energydensityd322} (bottom) for $\alpha=2$. The inset in the top figure shows the solution near the origin.}
		\label{psid311}
		\end{figure}
Next, we study the behavior of the electrical structure generated by the scalar fields associated to the Bloch wall for the same functions $f(\psi)$ considered in Sec.~\ref{secftwo}.

\subsubsection{First model}\label{model3d1}
Considering $f=1/\psi^2$, the solutions in Eqs.~\eqref{1phi} and \eqref{1chi} are now described by the geometrical coordinate
\begin{equation}
    \xi(r)=\frac{2k}{\alpha}\bigg(\tanh\bigg(\frac{\alpha}{r}\bigg)-\frac{\alpha}{r}\bigg).
\end{equation}
The solution $\phi(r)$ connects the points $\phi=-1$ and $\phi=0$, and $\chi(r)$ goes from $\chi=0$ to $\chi=\sqrt{\sigma/k-2}$. They can be seen in Fig.~\ref{phichid31}.
\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig15a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig15b}
		\caption{The solution $\phi(r)$ (top) and $\chi(r)$ (bottom) associated to the model in Sec.~\ref{model3d1} for $\sigma=5$, $\alpha=2$ and $n=2$ with $k=1$ (solid, blue line) and $2$ (dotted, red line).}
		\label{phichid31}
		\end{figure}
The energy density in Eq.~\eqref{rho1ele} is
\begin{align}
\label{energydensityd3}
    \rho_{1}&=\bigg[4k^{2}{{\rm sech}}^{2}{(\xi)}\tanh^{2}{\bigg(\frac{\alpha}{r}\bigg)}\bigg({{\rm sech}}^{2}{(\xi)}\nonumber  \\
 &\quad+{\tanh}^{2}{(\xi)}\bigg(\frac{\sigma}{k}-2\bigg)\bigg)\bigg]\frac{1}{r^{4}}\;,
\end{align}
and the electric field \eqref{Efield} is given by
\begin{equation}
\begin{aligned}
\label{EFD3f3}
    E_{r}&=\bigg[4k^{2}{{\rm sech}}^{2}{(\xi)}\tanh^{2}{\bigg(\frac{\alpha}{r}\bigg)}\bigg({{\rm sech}}^{2}{(\xi)}\\
    &\quad+{\tanh}^{2}{(\xi)}\bigg(\frac{\sigma}{k}-2\bigg)\bigg)+\alpha^2{{\rm sech}}^{4}{\bigg(\frac{\alpha}{r}\bigg)}\bigg]\frac{1}{er^{2}}.
\end{aligned}
\end{equation}
In Fig.~\ref{CED3fpsi22} we display the electric field \eqref{EFD3f3} and the energy density \eqref{energydensityd3}. Notice that, as $k$ increases the hole around the origin gets wider and the height of both the electric field and energy density decreases. In Fig.~\ref{CED3fpsi2} we illustrate their behavior depicting the section passing through the center of the structure, from which one can see that the energy density has the form of a shell. In this situation, the energy is $E=8\pi(\sigma+\alpha)/3$.
\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig16a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig16b}
		\caption{The radial component of the electric field (top) with $e=1$ and the energy density (bottom) associated to the model in Sec.~\ref{model3d1} for $\sigma=5$, $\alpha=2$, and $k=1$ (solid, blue line) and $2$ (dotted, red line).}
		\label{CED3fpsi22}
		\end{figure}
\begin{figure}[t!]
		\centering

		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig17a}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig17b}
		\caption{The section passing through the center of the structure, representing the electric field (left, blue) with $e=1$ and the energy density (right, orange) associated to the model in Sec.~\ref{model3d1} for $\sigma=5$, $\alpha=2$ and $k=2$. The intensity of the blue and orange colors increases with the increasing of the electric field and energy density, respectively.}
		\label{CED3fpsi2}
		\end{figure}

\subsubsection{Second model}\label{model3d2}
To find a richer internal structure, we take $f={\sec}^{2}(n\pi \psi)$. It leads us to the solutions in Eqs.~\eqref{1phi} and \eqref{1chi} with geometrical coordinate $\xi$ replaced by
\begin{align}
    \eta(r)=-\frac{k}{r}+\frac{k}{2\alpha}\big[\textrm{Ci}(\xi_{+}(r))-\textrm{Ci}(\xi_{-}(r))\big],
\end{align}
where $\xi_{\pm}(r)=2n\pi(1\mp\tanh(\alpha/r))$. We depict the solutions in Fig.~\ref{figphichicosd3}.
\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig18a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig18b}
		\caption{The solutions $\phi(r)$ (top) and $\chi(r)$ (bottom) associated to the model in Sec.~\ref{model3d2} for $\sigma=5$, $\alpha=2$ and $n=2$ with $k=1$ (solid, blue line) and $2$ (dotted, red line). The inset in the top figure shows the behavior for small $r$.}
		\label{figphichicosd3}
		\end{figure}
In this case the energy density is given by
\begin{align}
\label{EFD3fcosdensityd3}
   \rho_{1}&=\bigg[4k^{2}{{\rm sech}}^{2}{(\eta)}\cos^{2}{(n\pi\tanh(\alpha/r))}\bigg({{\rm sech}}^{2}{(\eta)}\nonumber  \\
    &\quad+{\tanh}^{2}{(\eta)}\bigg(\frac{\sigma}{k}-2\bigg)\bigg)\bigg] \frac{1}{r^{4}},
\end{align}
and the electric field is
\begin{equation}
\begin{aligned}
\label{EFD3fcosd3}
    E_{r}&=\bigg[4k^{2}{{\rm sech}}^{2}{(\eta)}\cos^{2}{(n\pi\tanh(\alpha/r))}\bigg({{\rm sech}}^{2}{(\eta)}\\
    &\quad+{\tanh}^{2}{(\eta)}\bigg(\frac{\sigma}{k}-2\bigg)\bigg)+\alpha^2{{\rm sech}}^{4}{(\alpha/r)}\bigg] \frac{1}{er^{2}}.
\end{aligned}
\end{equation}
In Fig.~\ref{cedensityd3cos} we depict the electric field \eqref{EFD3fcosd3} and the energy density \eqref{EFD3fcosdensityd3} for $k=1$ and $k=2$. Since the object is spherically symmetric, we see that the structure has a multi-shell form; the number of shells are controlled by $n$. As $k$ increases, the electric field and energy tend to become less and less concentrated at the center, as it spreads more and more to the external rings. We also display the planar section passing through the center of the structure in Fig.~\ref{CED3fcoseps}. The energy of this configuration is the very same of the one in Sec.~\ref{model3d1}.\\
\begin{figure}[t!]
		\centering
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig19a}
		\includegraphics[width=6.2cm,trim={0cm 0cm 0 0},clip]{fig19b}
		\caption{The radial component of the electric field (top) with $e=1$ and energy density (bottom) associated to the model in Sec.~\ref{model3d2} for $\sigma=5$, $\alpha=2$ and $n=2$, with $k=1$ (solid, blue line) and $2$ (dotted, red line). For $k=2$, we have depicted $2E_r$ and $2\rho_1$ to better illustrate the behavior.}
		\label{cedensityd3cos}
		\end{figure}
\begin{figure}[t!]
		\centering
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig20a}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig20b}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig20c}
		\includegraphics[width=4.27cm,trim={0cm 0cm 0 0},clip]{fig20d}
		\caption{The section passing through the center of the structure, representing the electric field (left, blue) with $e=1$ and the energy density (right, orange) associated to the model in Sec.~\ref{model3d2} for $\sigma=5$, $\alpha=2$, with $k=1$ (top) and $2$ (bottom). The intensity of the blue and orange colors increases with the increasing of the electric field and energy density, respectively.}
		\label{CED3fcoseps}
		\end{figure}

\section{Conclusion}\label{sec5}
In this work, we investigated the behavior of a single point charge in a medium with electric permittivity controlled by two scalar fields that can be associated to the so called Bloch domain wall. We have shown that the equations of motion that govern the scalar fields are independent and, based on the energy minimization, we have developed a first order formalism for our model. In this situation, it was found that an elliptic orbit allows the scalar fields to be decoupled, leading to analytical solutions. This procedure was illustrated with two models, which lead us to conclude that the presence of the scalar fields regularizes the behavior of the electric field and energy density at the origin and localizes the structure in a region outside the origin, with a ring- or shell-like profile. The results show that the strength of the coupling between the scalar fields controls the location of the ring or shell. We have also investigated how the inclusion of a third scalar field that simulates geometrical constrictions modifies the solutions. In this case, it was possible to obtain richer configurations, exhibiting several rings or shells whose location is also controlled by the parameter that couples the fields of the Bloch wall.

The results obtained in the present study motivate us to suggest distinct perspectives of future work. In particular, we are now investigating other extensions, as in the recent study on electric dipole \cite{ED}, to propose new devices of the electric type. Despite the intrinsic interest in high energy physics, we also think the present study may find applications to the investigation of plasmonic materials that exhibit high refractive index at the nanometric scale. It is perhaps possible to adapt the Maxwell-scalar model to describe properties of thermoplasmonics interest, such as the generation of nano-sources of heat through the use of plasmonic nanoparticles \cite{AA,BB,CC}. The Maxwell-scalar model can also be studied in the presence of curvature, which may respond to other related effects, as explored in the case of boson stars, for instance, which have many interesting application \cite{BS}. In this context, we can also think of five-dimensional holographic model that includes spacetime metric, an Abelian gauge field and a real scalar field giving rise to Einstein-Maxwell-scalar model \cite{EMs}, which can be used to calculate thermodynamics properties of a hot and dense quark-gluon plasma; see, e.g., Ref. \cite{Jorge}. Other possibilities concern the presence of radially symmetric, stable solutions in four dimensional static, radially symmetric spacetime, as studied in \cite{He,Mo1,Mo2} and in references therein. We hope to report on some of these issues in the near future.

\acknowledgements{The work is supported by the Brazilian agencies Coordena\c{c}\~ao de Aperfei\c{c}oamento de Pessoal de N\'ivel Superior (CAPES), grant No.~88882.440276/2019-01 (MP), Conselho Nacional de Desenvolvimento Cient\'ifico e Tecnol\'ogico (CNPq), grant No. 303469/2019-6 (DB), Paraiba State Research Foundation (FAPESQ-PB), grant No. 0015/2019, and Federal University of Para\'\i ba (UFPB/PROPESQ/PRPG) project code PII13363-2020.}

redpajama_set_name: RedPajamaArXiv


Located in Hartsville, Darlington County, SC.
The Kalmia Gardens of Coker College in Hartsville feature many species of plants, flowers, herbs, and greenery. It is a wonderful place to walk around and explore. Just behind the gardens, you will find the Segars-McKinnon Heritage Preserve. This preserve has a series of trails and boardwalks where you can view the Black Creek and the swamp. In addition, the Sawyer Bike Path runs by the edge of the garden and down West Carolina Avenue.
Located on West Carolina Avenue (SC #151 Business) in Hartsville, SC.


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    <p class="styleSans696.0000<enum PANGO_WEIGHT_NORMAL of type PangoWeight><enum PANGO_STYLE_NORMAL of type PangoStyle>">HORIZONTAL SECTION PLAT CONTINENTAL RESOURCES INC. BRATLIEN 5—26H SECTION 35, T161N, R95W DIVIDE COUNTY, NORTH DAKOTA
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PHONE: 701—523m3340 FAX: 701—523—5243
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text:
Real Wedding Recap 2019: Martina Liana & Enzoani for a country wedding at The New Hobbit – Megan & Ben
30th May 2019 | Alexis Forsyth
It's holiday season here on the blog, and as the editorial team take a short break, we'll be leaving you with a reduced blogging schedule so that you still get your daily dose of wedding lovely. Usual service will recommence on Monday 10th June 2019 but in the meantime watch out for recaps of some of our favourite Real Weddings from the first half of the year so far.
Drop in every day for the very prettiest, most unique wedding inspiration and – if you are a Brides Up North bride – to see if your real wedding was one of our top picks.
There's country charm aplenty in today's real wedding, as we share Megan and Ben's big day last October at The New Hobbit country inn at Sowerby Bridge.
The couple's vision was all about the cosy and intimate vibes, offering their guests a chilled-out experience that saw them indulge in a luxe buffet that they could eat whenever and wherever they wanted. Expect a whole lotta Insta-worthy styling ideas too – think wooden logs, fairy lights, candles and lanterns. In other words, all the pretty!
But styling aside, we simply must draw your attention to Megan's epic bridal day look. A fabulous two-piece made into her very own, unique gown. A reminder that if you're having trouble finding 'the one' – you can always go out and create the dress of your dreams yourself!
With images by Hayley Baxter
Megan says: We got engaged on 17th July 2017; exactly two years since our first date. Ben suggested a trip to Malham Cove, as we once went there when we first got together, and we had found a little cave at the top of the rock that I loved as it was quiet with nobody else about. On the day of our engagement, we walked to the top of the cove and found the exact same spot we had found the year before (after walking for an hour in the complete opposite direction, which was funny when I knew how desperately he wanted to find the same place!). We sat down with our little girl Poppy and that was when Ben got down on one knee and popped the question. He filmed part of it too by pretending he was taking a photo of me and Poppy! It was just us three there and absolutely perfect.
We got married on 27th October 2018; we can't say we chose that specific date for a reason, but we wanted an autumn wedding because of the warm colours and the crisp, cool weather.
We got married at the New Hobbit in Sowerby Bridge, West Yorkshire, (where I had once worked as a waitress!). Neither of us are religious, so never felt the need for a church wedding. We wanted a venue where the whole thing could be done without guests having to move from one place to another, as we wanted it to be as relaxed and hassle free as possible.
We always knew we wanted a low-key wedding because we're just not the kind of people who want a big, grand event.
The New Hobbit is cosy, we love the warm, country style décor and it was fairly local to most of our guests. To us, our main aim (besides actually getting married!) was for a great evening do, and choosing a local venue meant people could come and have a good time, celebrating with us without having to pay for an hour-long taxi ride home!
There wasn't a specific theme, but we wanted it to be chilled out and sort of free-flowing; basically for people to sit where they wanted, eat whenever and wherever they wanted and to just have a lovely day with us. We like cosy and intimate, so we stuck to warm fairy lights, candles and lanterns, logs, and black boards which me and my mum wrote on, with order of the day and what our day was about. We had, 'Nothing Fancy, Just Love' on the blackboard as you walked in, and this pretty much summed up our wedding.
I've always said I would have emerald green as a colour scheme if I got married. With being so ginger and pale, I just think the emerald green complemented this look and gave it more 'pop!' Ben really suits maroon, so we just went for that for his tie and pocket square, and the groomsmen matched the bridesmaids. There wasn't really a colour scheme for anything else; we didn't bother with chair sashes or anything like that…we basically did as little planning as possible. We never felt the need to plan little details, and as awful as it sounds, we just didn't feel that interested in it!
My dress was actually a separate bodice and skirt, which was made into a dress. The bodice is Martina Liana and the skirt is Enzoani. It was the third 'dress' I tried on at Ava Rose Hamilton, Silsden and after trying a fishtail beforehand, I knew that simple, clean lines suited me much more and was definitely more 'me'. I live in gym kit, and never look glamorous, so to have a big, fancy fishtail just didn't suit my personality. I had draping straps added and we all thought it completely changed the whole look. When I went shopping for a dress, I wanted understated and something that I hadn't seen on a load of other brides and, of course, a dress that Ben would think I looked amazing in.
My hair and makeup was done by Bow and Blush; they are sisters and are just so, so good at what they do. I didn't want to look over done on the day, so as soon as I found them, I booked them. They work absolute miracles! Jade is unbelievable at achieving the natural look that lasts and Beth made my hair look amazing and everyone was so complimentary about the look she created. I literally gave them a 30-second brief of what I wanted at my trial and they completely out did my expectations. They are so down to earth and easy to talk to, to the point where it feels like they're another two of your mates getting ready with you on the morning.
Ben wore a dark navy-blue three-piece suit from Joshua Adams, in Cleckheaton. We chose the maroon tie and pocket square from here too and had his suit and shirt altered to fit.
The groomsmen wore the same suit as Ben (but with a green tie).
My bridesmaids wore handmade dresses that Ben's amazing grandma made. My bridesmaids couldn't find a dress that they all agreed on, that didn't cost a fortune, so Sylvia offered to make them. We chose a pattern and the emerald green fabric and Sylvia spent months chipping away at six dresses and I really can't thank her enough! I wanted them to wear tea length with more body at the bottom, in total contrast to my fitted silhouette and to make it look less formal. My mum found satin belts with diamante gems on, from eBay. I found the girls some ivory heels with a gem buckle on the toe to match the belts, from Very.
Sylvia also made the dresses for our three flower girls, which we had originally bought in the M&S sale, but were age 13 years and our flower girls were aged one, two and six, so Sylvia picked them apart and re-did them and added a green sash to match the bridesmaids. She did an amazing job and the girls just looked gorgeous.
Hayley Baxter was our photographer and literally could not have done a better job if she tried! We wanted natural photos and Hayley's blog from previous weddings drew us in. She was just amazing on the day. She drove us up to the Moor for our 'photoshoot' and got the most amazing shots of our 'freshly married' happiness! We felt completely relaxed with her and you can see this in our photos. She is so professional, and you can see that she completely gets how important it is to capture the day, as well as people's raw emotions and the love that is just everywhere. She absolutely nailed it.
Natasha Jane Events did my bouquet and it was just divine. I originally wanted lots of foliage with the odd white flower, but once I'd spoken to Natasha about it, I decided I wanted deep, warm colours because she made it sound amazing! I had seen Natasha's work through her Instagram page and knew that I wouldn't be disappointed. It had deep red flowers, with blush ones popping through and filled with foliage. Our centrepieces, the lads' button holes and the flowers across the mantlepiece all matched, and it looked so beautiful.
Natasha dressed the venue for us and made it look better than we ever thought possible. We had a huge flower arrangement across the mantlepiece which was behind us throughout our ceremony, with big glass vases with floating candles on either end. We had a log across the table as we signed the register, which matched the mantlepiece arrangement and looks so good on the photos.
There were lanterns down each side of the aisle which had moss and church candles in them, which made it look so cosy and intimate. The tables had log slices in the middle with the lanterns sat on top, again with the candles and moss and jars of flowers that matched the other centrepieces.
The tables were set with glasses of fruit because we had Pimms rather than wine. When it was set up, the colours of the fruit matched the flowers (by coincidence…not planned!) and it just made it look so lovely with all the vibrant, warm pops of colour. It all turned out perfectly and we don't think Natasha could have made it look any better.
My mum made our wedding cake and it was gorgeous! We had a naked cake, which seems to be all the fashion at the minute, and it fit perfectly with our non-theme theme…rustic and chilled out. It was three-tier Victoria sponge dressed with fresh fruit and a wooden sign with 'Mr & Mrs Morrill' and the date. It sat on a huge log slice, which Natasha provided us with and looked perfect.
Our wedding breakfast was a hot buffet and a 'free for all' so that people could eat when and wherever they wanted. We were never bothered by a sit-down meal, so we opted for a 'luxury buffet'. Ben was dubious about it at first, because he was worried it would come across as cheap, but it was honestly the best decision ever. Our guests all said how amazing it was to be able to eat when you wanted. It was served from 4pm to 6.30pm, so it was just perfect for people to eat as much or as little as they wanted in that time frame. The tables were set as if it was a three-course meal, so it still looked like a wedding, but just no seating plan.
The food itself was gorgeous with fresh salmon, beef, salads, warm breads, meatballs, pate…there were loads of options and more than enough to feed people three times over! As mentioned, we opted for jugs of Pimms and lemonade on the tables rather than wine; it complemented the way the tables were dressed, saved us a lot of money and went down a treat.
We had a DJ for the evening entertainment. My family love a good dance and I just think you can't beat a DJ who can get everybody up! He was fab and had the dancefloor full most of the night.
I would say the special touches were the blackboards we had, which me and my mum had written on, about everything the day was about. Ben's step mum sourced the boards and we wrote on them, and stood them on easels that we found at the car boot.
We would recommend The Hobbit to anybody who wants a low-key wedding. For us, it was completely perfect for what we wanted and having Natasha to make it look amazing, and Hayley to find great places for photos, made it even better. The food was lovely, it's perfect for guests to stay over in the hotel on the day, and it's big enough for plenty of guests, whilst still being small enough to feel intimate.
We knew the day would go well and that it would look nice, but it turned out to be far better than we had expected! It didn't need much dressing up on our part, which was perfect for us.
Best bit
Our favourite part of the day was during the ceremony when the registrar asked if there were any objections to our marriage and our little girl, Poppy (18 months at the time) who had been quiet throughout the whole thing, shouted 'no' right on cue! You honestly could not have written it! The whole room just fell about laughing and didn't stop for ages! It just made the whole thing feel so natural and it's a memory that will stay with us forever.
The ceremony itself was very 'us', with several mis-pronunciations of our last name (by the registrar!) which unintentionally kept us all laughing, and then the outburst by Poppy, it just felt like a room full of love and laughs, and perfect for us to say our vows.
We went to a log cabin in North Yorkshire for our honeymoon/familymoon. We couldn't bear to be away from Poppy for more than a night, and we weren't bothered about going abroad as we'd already been away to Dubai in the May, so we decided to find somewhere that we could just chill out for a few days, eating and drinking. We stayed at Sun Hill Lodges in Leyburn and it was unbelievable. We had a huge cabin with a hot tub and it was so secluded; just what we had wanted. We spent the days going for walks and then stopping for tea and cakes. It was a lovely little break; we'd definitely go back.
My top tip for other Brides Up North would be: don't get into debt, save where you can and don't worry about cutting corners. We literally did the bare minimum for our wedding and it was perfect. We paid for our wedding ourselves and we couldn't bear the thought of being left with debt after getting married, because for us, it just isn't worth it. We splurged on our photographer because we knew that, when it's all over, it's the photos that are left. Choose wisely where you spend your money, and make sure that it's you who will benefit from it, because it's your day and it really is about you. Shop around, and don't be too proud to go looking for a bargain!
And lastly, don't listen to people who tell you that being married doesn't feel any different… it does, it feels 1,000 times better.
Hayley Baxter
New Hobbit
Ava Rose Hamilton
Bow & Blush
Joshua Adams
Natasha Jane Events
April 3, 2019 | Permalink	| Reply
Golly gosh – what a fantastic venue! And great wedding photography!

redpajama_set_name: RedPajamaCommonCrawl


text:
Q: How to scale down/up containers in aws ecs cluster by command line, should I use aws cli or ecs-cli? I'm running AWS ECS cluster with EC2 instances and I want a command to scale up the tasks to 1 running instance and then after some time when I do not need it I want to scale it down to 0. This should destroy the underlying EC2 instance to avoid charges. I'm not using Fargate as it is not in free tier.
what I'm currently using to scale up to one and start running it:
ecs-cli scale --capability-iam --size 1 --cluster myEC2clusterName --region us-east-1
aws ecs run-task --cluster myEC2clusterName --region us-east-1 --task-definition myTaskDefinitionName:1 --count 1

what I'm currently using to scale down:
ecs-cli scale --capability-iam --size 0 --cluster myEC2clusterName --region us-east-1

Is there an equivalent command only in aws cli without need to use ecs-cli to do the same?

A: Yes, you can call the UpdateService API or use the update-service command.
aws ecs update-service --cluster myEC2clusterName --region us-east-1 --service myServiceName --desired-count 0
Edit: I misunderstood the question.
You can call the SetDesiredCapacity API or use the set-desired-capacity command to adjust the size of your EC2 auto scaling group.

A: The full command is to scale up/down the cluster is
aws autoscaling set-desired-capacity --desired-capacity 2 \
  --auto-scaling-group-name <your-group-name>

You can get the group name with this command:
aws autoscaling describe-auto-scaling-instances

where the name itself will be in AutoScalingGroupName field of elements in AutoScalingInstances JSON array.

redpajama_set_name: RedPajamaStackExchange


The planned repeated meeting of Public Joint Stock Company Grindeks' shareholders that was due to be held on January 19 did not take place due to an insufficient quorum – instead of the 25% required, registered shareholders represented 18.36% of the company's fixed capital.
1. Regarding the increase of PJSC Grindeks' fixed capital.
The meeting will take place in PJSC Grindeks' conference room at Krustpils iela 53 in Riga.
Registrationof shareholders on the day of the meeting – February 10, 2004 – will take place from 09.00 until 10.00 at the venue for the meeting. In registering, one must produce a passport or other personal identification document.
Shareholders can take part in the meeting in person or the shareholder may be represented by his or her authorised representative by submitting a letter of authorisation.
Shareholders who have deregistered their shares, must produce a receipt issued by the holder of a share account regarding the blocking of shares. Such shareholders must notify the holder of a share account regarding the blocking of shares no later than by February 2, 2004.
Draft decisions from the second repeated extraordinary meeting of PJSC Grindeks shareholders will be available for inspection starting from February 2, 2004 at the PJSC Grindeks office at Krustpils iela 53 in Riga from 10.00 – 15.00.
Information hotline: 7 083 252, 7 083 205.


Product Dimensions with Hinges, Handles and Door (W x H x D) 35 3/4 " x 71 7/8 " x 28 7/8"
Product Dimensions with Doors Open (W x H x D) 35 3/4" x 71 3/4" x 42 1/4"
Shipping Dimensions (W x H x D) 38 1/4" x 77 7/8" x 31 1/4"
Net Depth with Door Handle (in) 34.29"
Net Height without Hinge (in) 70 6/8"
A device on the outside of a refrigerator door that provides instant access to ice or water.
Bracket or shelf in refrigerator specifically designed to cool bottles of wine.
Product Weight (lb.) 350.53 lb.


text:
Die Front der Pflüger (oder auch: Pflügerfront, Rumänisch: Frontul Plugarilor) war eine linksorientierte Bauernpartei bzw. politische Organisation der Pflüger in Rumänien, die 1933 in Deva gegründet und von Petru Groza geleitet wurde.

Geschichte
Die vom Bezirk Hunedoara ausgehende Organisation breitete sich zunächst ins Banat aus und in der Folgezeit in das übrige Rumänien. Groza, Exminister (1926) aus dem Kabinett Alexandru Averescus, zielte darauf ab, die Situation der Landbevölkerung zu verbessern. Er mahnte ein Programm zur sozialen Sicherheit an und forderte eine Steuerreform, die die kleinen ländlichen Haushalte begünstigte.

1935 kam es zur Zusammenarbeit mit der verbotenen kommunistischen Partei Rumäniens. Die entsprechende Übereinkunft wurde in Țebea unterschrieben. Aus kommunistischer Sicht entsprach dieses Zusammengehen der stalinistischen Volksfront-Doktrin.

Bis zum Verbot aller politischen Parteien im Jahr 1938 konnte die "Front der Pflüger" jedoch nie mehr als 0,30 % der Stimmen auf sich vereinigen. Unter Ion Antonescu blieb die Partei im Untergrund und trat erst wieder 1944 nach dem Sturz des Regimes hervor.

Im Oktober 1944 wurde die "Front der Pflüger" Mitglied in der von der rumänischen KP dominierten Nationaldemokratischen Front (FND), zusammen mit der "Union der Patrioten", der "Union der Ungarischen Arbeiter", der "Sozialistischen Bauernpartei" und der Rumänischen Sozialdemokratischen Partei. Im Februar 1945 trug die "Front der Pflüger", obgleich im Kabinett Nicolae Rădescu repräsentiert, zum Scheitern der Regierung bei.

Groza leitete das dritte Kabinett nach dem Sturz Antonescu, das am 6. März 1945 gebildet wurde. Obgleich dieses Kabinett von PCR dominiert wurde, erhielt die "Front der Pflüger" zusätzlich das Ministerium für Landwirtschaft und Königliche Güter, unter Leitung von Romulus Zăroni.

In den nationalen Wahlen von 1946 bildete die "Front der Pflüger" mit den Kommunisten eine gemeinsame Wahlplattform. Die Regierung Groza wurde in dieser Wahl bestätigt, offenkundig jedoch durch massive Wahlmanipulation. In der Folgezeit war die "Front der Pflüger" zusammen mit den Kommunisten aktiv an der Herausbildung des kommunistischen Rumäniens beteiligt. Hatte die Partei noch auf ihrem Parteikongress vom Juli 1945 den Schutz der kleinlandwirtschaftlichen Betriebe gefordert, trug sie nun die von den Kommunisten propagierte Kollektivierung der Landwirtschaft in Rumänien mit.

1953 wurde die "Front der Pflüger" aufgelöst.

Fußnoten

Literatur
 Victor Frunză: Istoria stalinismului în România. Humanitas, Bukarest 1990, ISBN 973-28-0177-8.
 Keith Hitchins: România, 1866–1947. 2. Auflage. Humanitas, Bukarest 1998,  (Übersetzung des englischsprachigen Originals: Rumania 1866–1947. Clarendon Press, Oxford 1994, ISBN 0-19-822126-6).
 Vladimir Tismaneanu: Stalinism for all Seasons. A Political History of Romanian Communism (= Society and Culture in East-Central Europe. 11). University of California Press, Berkeley CA u. a. 2003, ISBN 0-520-23747-1.

Siehe auch
 Geschichte Rumäniens
 Bauernpartei

Bauernpartei
Historische Partei (Rumänien)
Politik (Königreich Rumänien)

redpajama_set_name: RedPajamaWikipedia


text:
Video Subtexts panel, moderated by Yulia Tikhonova
image © Julika Rudelius
Thursday, December 17th, 7pm
The School of Visual Arts Amphitheatre
209 E. 23rd Street (2nd and 3rd avenues), 3rd Floor
(please bring photo ID)
Q & A to follow the lecture.
Free to CCNY members, SVA students, faculty, and staff
General admission $10, $5 for other students with ID
CCNY presents Video Subtexts, hosted and curated by Yulia Tikhonova. The program will include the work of three New York-based artists– Rico Gatson, Lauren Kelley, and Julika Rudelius, whose work explores the edge between documentary practice and postmodern strategies of archival collage and cinematic construction. Challenging cliches of media culture, the artists question, often with satirical humor, assumptions about issues of social justice and cultural identity, recontextualizing and reformatting various kinds of documentary and historical footage.
In her recent video Rites of Passage, Julika Rudelius uncovers the insinuating relationship between high–ranking politicians and their sycophantic new interns. German–born Ridelius is currently included in Dress Codes, the Third ICP Triennial of Photography and Video. She studied video at the Rijks Academy (Amsterdam) and in 2006, she participated in the ISCP Residency in New York and has lived there since.
Rico Gatson, whose work Historical Lessons draws upon controversies of African–American history, teaches sculpture at NYU. He was born in Georgia, reared in Southern California and graduated from Yale in 1991. Selected exhibitions include the Cheekwood Art Museum in Nashville, Tennessee, Studio Museum in Harlem, and Exit Art in New York.
Lauren Kelley received a MFA from the School of Art Institute of Chicago. Kelley has studied at the prestigious Skowhegan School of Painting and Sculpture, Skowhegan, Maine and is currently a resident artist at the CORE Program, Museum of Fine Arts Houston. Selected exhibition include Brand New Heavies, Collette Blanchard Gallery, New York, NY (2009) and Rupture in Rapture, Arthouse, Austin, TX (2008)
The presentation of Video Subtexts, moderated by curator Yulia Tikhonova, will be followed by a Q & A session. All three artists are included in the collection of the Artist Pension Trust.
Yulia Tikhonova, Russian–born, New York–based curator and a current second year student of the Center for Curatorial Studies program at Bard College. Recently Tikhonova contributed to the Third Moscow Biennale of Contemporary Art and curated an on–line exhibition for the Artist Pension Trust.


text:
Gaia finds fossil spiral arms in Milky Way
An international team of astronomers, led by researcher Chervin Laporte of the Institute of Cosmos Sciences of the University of Barcelona (ICCUB-IEEC), has used data from the Gaia space mission to create a new map of the Milky Way's outer disc. Intriguingly, newly found structures include evidence for fossil spiral arms. The team published the new work in a paper in Monthly Notices of the Royal Astronomical Society: Letters.
All-sky map of the Milky Way in motion using the Gaia data. Areas with significant motion are shown
in black/purple and those with relatively low motion in yellow. A number of large scale filamentary
disc structures are evident about the midplane. The map also shows the Magellanic Clouds and
their connecting stellar bridge to left, while the Sgr dwarf galaxy currently being torn apart
can be seen on the right (main body) [Credit: C. Laporte et al. 2021]
The team analyzed the Gaia motion data, available from December 2020, to identify coherent structures. Their resulting map revealed the existence of many previously unknown spinning filamentary structures at the edge of the disc. It also gave a sharper overall view of previously known structures. Numerical simulations predict such filamentary structures to form in the outer disc from past satellite interactions, but the sheer quantity of substructure revealed by this map was not expected and remains a mystery.
What could these structures possibly be? One possibility is that they are the remains of tidal arms from the Milky Way disc which were excited at different times by various satellite galaxies. Our galaxy is now surrounded by 50 of these satellites and has engulfed numerous other galaxies in its past. At present, the Milky Way is thought to be being perturbed by the Sagittarius dwarf galaxy, But in its more distant past it interacted with another intruder, the Gaia Sausage, which has now dispersed its debris into the outskirts of our galaxy.
In an earlier study, the same team showed that one of the filamentary structures in the outer disc, the Anticenter Stream, had stars which were predominantly more than 8 billion years old. This makes it potentially too old to have been excited by Sagittarius alone and instead points to the Gaia Sausage.
Another possibility is that not all these structures are actual genuine fossil spiral arms but instead form the crests of large scale vertical distortions in the Milky Way disc. "We believe that discs respond to satellite impacts which set up vertical waves that propagate like ripples on a pond," says Laporte.
To try to distinguish between the two explanations, the team has now secured a dedicated follow-up program with the William Herschel Telescope on the Canary Islands in order to study the properties of the stellar populations in each substructure. Future surveys will help shed light on the nature and origin of these heavenly wispy structures.
Laporte comments on their findings: "Typically, this region of the Milky Way has remained poorly explored due to the intervening dust which severely obscures most of the galactic midplane." He adds, "While dust affects the luminosity of a star, its motion remains unaffected. We were certainly very excited to see that the Gaia motions data helped us uncover these filamentary structures! Now the challenge remains to figure what these things exactly are, how they came to be, why in such large numbers, and what they can tell us about the Milky Way, its formation and evolution."
Author: Dr Robert Massey | Source: Royal Astronomical Society [December 14, 2021]


text:
BHP Group to invest $283 million in Trinidad and Tobago petroleum project
(Reuters) – Global miner BHP Group <BHP.AX> said on Thursday it has approved an investment of $283 million (£233 million) to fund the development of an oil and gas project in Trinidad and Tobago.
Total investment in the Ruby Project, in which BHP holds a 68.5% stake, is about $500 million, the miner said in a statement.
The remaining interest in the project is held by state-owned Heritage Petroleum and the National Gas Company of Trinidad and Tobago.
"Ruby aligns well with our strategy of maximising value from our existing assets, bringing competitive near term value and volume growth," Geraldine Slattery, BHP President Operations Petroleum said.
(Reporting by Aditya Soni in Bengaluru; editing by Richard Pullin)
Europe's 'carbon border tax' could hurt climate negotiations, according to China adviser
Facebook issues first correction notice at Singapore's request
Germany could still ban Huawei from 5G build-out over security concerns, says defence minister


Because we know that diversity builds competitive sustainable advantages, we recently launched an internal process that we believe will create more winning solutions. Currently, our primary buyers review our database of diverse and disadvantaged suppliers when fulfilling an RFP. However, we knew there were still missed opportunities because our secondary group of buyers and decision makers across the organization did not have the same access.
We are in the pilot phase of giving decision makers at all levels of the organization access to diverse and disadvantaged suppliers using a new integrated, larger supplier locator database. With this access, buyers and decision makers across the company can search, review and evaluate certified diverse and disadvantaged businesses in all categories. All decision makers will now be able to extend their reach to diverse or disadvantaged business each time they fulfill an RFP. It is our desire to help suppliers overcome any challenges and barriers to exposure or entry that they feel may exist inside or outside of our industry.
This new process will help ensure that all decision makers are playing a role in opening doors and creating a level playing field. By extending our reach internally, we are shifting our thinking and way of doing business to continue to build an inclusive and transparent culture. Good intentions coupled with real action will bring about positive results where everyone wins.
We believe that strength is derived from the diversity of our customers, employees, suppliers, franchisees and other partners across the country and we are pleased to have made great strides with our Supplier Diversity Initiative. As we continue to grow our diverse menu, we look forward to growing our commitment to supplier diversity by adding new partners to our supply chain.


text:
package org.openas2.support;

import java.io.File;

public interface FileMonitorListener {

    int EVENT_MODIFIED = 1;

    void onFileEvent(File file, int eventID);
}


text:
Orleans Parish
What $3,200/Month Rents You in New Orleans
By April Siese Oct 17, 2014, 2:30pm CDT
Welcome to Curbed Comparisons, a column that explores what one can rent for a set dollar amount in various New Orleans neighborhoods. Is one man's studio another man's townhouse? Let's find out! Today's price: $3,200
↑ Let's start this Curbed Comparisons with a familiar facade — 301 S Jeff Davis. Our "rent or buy?" debate house is still up for rent and offers three bedrooms, two and a half baths, as well as a "gourmet" kitchen. Its spacious floor plan and proximity to Canal St only add to its charm. Cats and small dogs are accepted and the deposit is the same as monthly rent at $3,200.
↑ This Central City two bedroom, two bath has perhaps the most hilarious copy to go alongside its listing. Have you ever uttered "oh la la" over a home? Well, apparently you're going to once you see 1632 7th St. This furnished two story has damn near everything you'd ever want in a home — cable, a luxurious bathtub, spacious living room, checkerboard tile flooring in a galley kitchen. It's even got a washer, dryer, all utilities included, and wifi. Oh, and cable. Why so many amenities? We'll let the listing tell you: "We sail for at least half the year and rent our home for the extra income." $3,200 a month gets you the 1,650 square foot furnished second floor.
↑ Here's a condo with an interesting history — the Henderson Building opened its doors in 1903 as the Godchaux Sugar Refinery. Its life as living space changed drastically in 1996 when 700 Commerce St's apartments renovated into condos. Now, one of them can be yours for just $3,000 a month. 700 Commerce St #114 is a two-story unit with two bedrooms and two full bathrooms evenly distributed with one of each per floor. Its tall ceilings and spiral staircase give it a modern feel in a regal old building. No word on deposit or pets on this listing, sadly. May its 1,271 square feet give you comfort instead.
↑ 5237 Camp St is a spacious rental that gives you the option of having it furnished or not. Its two stories with three bedrooms and two and a half baths clock it in at 2,000 square feet. And, like our first listing, it's got a "gourmet" kitchen, whatever that means. $3,150 a month gets you historic architectural elements with a modern twist in this century plus old double.
↑ Perhaps 127 Carondelet St #3A felt that it could sell itself on prime CBD location alone. Or maybe it's the fact that this is just one of eight units in its building. Either way, it's a little bizarre to have a prime listing contain just three photos, all of which look like vector drawings. Housed in the circa 1840s building of Gallier Court, this two bedroom, two bath space allows cats and small dogs and, at 1,114 square feet, isn't so crammed that it's not pet friendly. $3,200 a month gets you somewhat luxurious living just a block away from the French Quarter and with valet parking offered.


text:
Biografia
Dest è nato ad Almere da padre statunitense, originario del Suriname, e madre olandese.

Caratteristiche tecniche
È un terzino destro offensivo, dotato di buona tecnica individuale, velocità e ottimo dribbling. Ha dichiarato d'ispirarsi a Dani Alves.

Carriera

Club

Almere City e Ajax
Dopo aver mosso i primi passi nell', nel 2012 Dest è entrato a far parte del settore giovanile dell', con cui ha esordito in prima squadra il 27 luglio 2019, nella Supercoppa d'Olanda contro il PSV. Ha quindi esordito in Eredivisie il 10 agosto seguente, entrando nel secondo tempo della partita contro l', vinta per 5-0. Il 18 dicembre successivo, ha segnato i suoi primi due gol nella vittoria per 3-4 in casa del , gara valida per il secondo turno di Coppa d'Olanda. Nella sua prima stagione, Dest si è imposto gradualmente come titolare sulla fascia destra dei lancieri, grazie alle ottime prestazioni fornite.

Barcellona
Il 1º ottobre 2020, Dest viene ceduto per 21 milioni di euro (più 5 di bonus) al , che inserisce nel suo contratto anche una clausola da 400 milioni. Tre giorni dopo, in occasione del pareggio interno per 1-1 contro il , il terzino debutta con i blaugrana, diventando così il primo statunitense nella storia del club. Il 24 novembre seguente, realizza il suo primo gol con la maglia dei catalani nella vittoria per 4-0 sul campo della , nella fase a gironi di UEFA Champions League. Il 21 marzo 2021, invece, segna la sua prima doppietta in Liga, nella vittoria per 6-1 sul campo della Real Sociedad.

Nella stagione successiva, con l'arrivo di Xavi sulla panchina dei blaugrana, lo spazio per Dest diminuisce, anche a causa del ritorno di Dani Alves e del cambio di ruolo di Óscar Mingueza.

Prestito al Milan
Il 1º settembre 2022, durante l'ultimo giorno della sessione estiva di calciomercato, Dest viene ceduto in prestito annuale al , con diritto di riscatto fissato a 20 milioni di euro, diventando così il secondo giocatore statunitense nella storia dei rossoneri, dopo Oguchi Onyewu. Esordisce ufficialmente con il club meneghino il 6 settembre 2022, subentrando al 57' al posto di Davide Calabria nel pareggio esterno contro il  in Champions League. Il 18 settembre seguente, esordisce anche in Serie A nella sconfitta casalinga contro il Napoli, subentrando nell'intervallo allo stesso Calabria. Tuttavia durante l'esperienza in Italia non trova molto spazio e venendo spesso relegato in panchina.

Nazionale
Nato ad Almere, nei Paesi Bassi, ha militato nelle selezioni giovanili statunitensi grazie alle origini paterne, nonostante potesse rappresentare anche il suo Paese d'origine. Nel 2018, con la nazionale U-20 statunitense, ha preso parte al Campionato nordamericano di categoria.

Il 6 settembre 2019, debutta con la nazionale maggiore degli Stati Uniti in occasione dell'amichevole persa 0-3 contro il Messico. Nonostante qualche dubbio iniziale nella scelta della propria nazionale, nell'ottobre 2019 opta definitivamente per rappresentare gli USA.

Nel novembre del 2022, viene incluso dal CT Gregg Berhalter nella rosa statunitense partecipante ai Mondiali di calcio in Qatar.

Statistiche

Presenze e reti nei club
Statistiche aggiornate al 24 gennaio 2023.

Cronologia presenze e reti in nazionale

Palmarès

Club

Ajax: 2019

Barcellona: 2020-2021

Nazionale

Stati Uniti 2018

2019-2020

Individuale

Miglior giovane maschile: 2019

Note

Altri progetti

Collegamenti esterni

Olandesi-americani
Calciatori della Nazionale statunitense


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Clinton Promise to Curb Illegal Immigration Recalls Eisenhower's Border Crackdowns
Operation Wetback's methods were effective, but might not pass court challenge today
By John Dillin Staff writer of The Christian Science Monitor
PRESIDENT Clinton vows to slam the door on illegal immigrants, including Mideast terrorists and Chinese smugglers trying to enter the United States, but can he do it?
Four decades ago, another president - Dwight Eisenhower - was confronted by a similar crisis. America's southern frontier with Mexico was out of control. Some high-ranking government officials were urging Ike to use the US Army to seal the border.
Herbert Brownell, who was Mr. Eisenhower's attorney general, says the nation "was faced with a breakdown in law enforcement on a very large scale. When I say large scale, I mean hundreds of thousands were coming in from Mexico without any restraint."
Many immigrants, mostly Mexicans, were making their way north to take factory jobs in Chicago, Detroit, St. Louis, and other cities, while others labored on farms and ranches, or worked on construction projects, mostly in Texas, Arizona, and California. Support in high places
Making the problem worse: Powerful politicians, including Sen. Lyndon Johnson (D) of Texas and Sen. Pat McCarran (D) of Nevada, favored open borders. They did the bidding of influential vested interests, such as ranchers and growers, who wanted cheap, docile immigrant labor to pick their crops and tend their herds.
Mr. Brownell, interviewed here recently, credits Eisenhower for his support of a daring plan to stem the flow. Within two years, the US Border Patrol had virtually halted illegal immigration across the entire 2,000-mile US-Mexico frontier.
Brownell says a similar plan might work today. However, immigration officials in Washington disagree. They say court decisions have so expanded rights for illegal aliens in recent years that sweeping roundups would be difficult, if not impossible.
The Brownell plan, dubbed "Operation Wetback," outraged many businessmen and ranchers, especially in Texas. It brought a rain of abuse on Brownell and Eisenhower from some ethnic groups. But for many years, it also produced a new level of stability in the Southwestern border area.
Instrumental to their success was Eisenhower's recruitment of a former classmate at West Point, retired Gen. Joseph Swing.
At Ike's urging, General Swing agreed to head the US Immigration and Naturalization Service (INS), and to oversee the operation.
Brownell praises Swing for a series of strategic moves. Among other things, Swing won the cooperation of Mexican mayors near the border to expedite the deportation of thousands of Mexicans. "Nobody had ever thought of doing that," Brownell says. Mexican officials hoped their returning nationals would help boost their nation's economy.
Swing also took three other significant steps.
* First, he brought semimilitary discipline to the demoralized US Border Patrol. He reorganized the command structure, got new equipment, and fitted them out in smart, forest-green uniforms. He also cut down on mistreatment of aliens by promptly transferring guilty officers to the Canadian border.
* Second, he approved the use of a new tactic, the Mobile Task Force, to clamp down on illegal entrants in the worst problem areas. Although expensive, the force proved extremely effective.
* Third, he arranged to deport Mexicans to areas far from the US, rather than just turning them loose at the border, as had been done.
Swing also carefully orchestrated press coverage of Operation Wetback as if he were entering a military campaign. Selective secrecy about the number of agents in the task force and tactics to be used made the government's efforts look even bigger and more threatening than they really were.
The results were dramatic. Even before the crackdown began in California on June 10, 1954, some illegal aliens began fleeing the US. Then on June 17, the task force of 750 agents began a systematic sweep of agricultural areas of California and Arizona. Apprehensions exceeded goal
The sweep moved steadily northward. The goal was 1,000 apprehensions a day, but quickly exceeded that. By June 20, some agents were already checking the region as far north as Sacramento.
The INS estimates that by the end of July, less than two months after the operation began, 51,784 aliens had been apprehended in California and Arizona, while another 488,000 had voluntarily left those states for Mexico.
Swing's efforts to get cooperation from Mexican authorities paid off. With their help, illegals bused to the border were met there by specially chartered trains, which carried them deep into the interior of Mexico. From there, it would be much harder to work their way back to the US border.
Next, Swing turned to Texas, where local resistance to his efforts was much greater. Operation Wetback was moving ahead full speed in Texas by July 15, with 4,800 men taken into custody on the first day.
Within a week, one official reported that at three crossing points along the border, 45,033 illegals had been counted fleeing to Mexico. Program triggers backlash
Local farmers and ranchers, who had scoffed at Swing's program, suddenly were forced to hire local people or legally imported labor to work their farms and ranches. Criticism rained on Swing. One local editorial in the San Benito (Texas) News grumbled: "How about putting the 700-800 invading Border Patrolmen into the cotton fields, picking?"
Eventually, Swing even employed ships to carry aliens from Texas and California ports back to Mexico. The boatlift stopped only in 1956 when a mutiny aboard one ship resulted in the drowning of seven men who tried to escape by going overboard.
Official records indicate that the success of Swing, Brownell, and Eisenhower was numerically impressive. Illegal immigration dropped an estimated 97 percent by the end of Eisenhower's term.
Yet the program was sharply criticized. Milton Plumb, a labor representative writing in the CIO News at the time, called the operation "brutal." He saw several flaws:
* It heightened anti-US feelings among Mexicans.
* It brought a dehumanizing, military mentality to the Border Patrol.
* It encouraged a new, more sinister type of illegal entry "involving misuse of tourist cards and entry permits, forged passports, and phony birth certificates."
* It led to a breakdown of laws protecting immigrant Mexican workers, including illegals, under the US minimum-wage laws.
Officials today doubt that Mr. Clinton would succeed with a similar strategy. Duke Austin, an official with the INS, says court decisions and new federal laws preclude the kind of wholesale roundup that marked Operation Wetback.
Today's illegal immigrants can demand a hearing, or request political asylum, and the Border Patrol's hands are tied - sometimes for years. Mr. Austin notes one recent case of an Irish woman who entered the US with a visitor's visa and, with legal appeals, stalled deportation for 12 years.
Nor can the Border Patrol go into open fields to seize farm workers as they once did. Congress took away that authority in 1986. Western growers still have significant political clout.
Eisenhower's efforts to stem illegal immigration were rapidly reversed when John F. Kennedy took over the White House in 1960. Mr. Kennedy's vice president, you will recall, was Lyndon Johnson of Texas.
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