  An alternative method of developing the theory of non-equilibrium two
dimensional holographic superconductor is to start from the definition of a
time dependent $AdS_3$ background. As originally proposed, many of these
formulae were cast in exponential form, but the adoption of the numeric method
of expression throughout the bulk serves to show more clearly the relationship
between the various parameters. The time dependence behaviour of the scalar
condensation and Maxwell fields are fitted numerically. A usual value for
Maxwell field on AdS horizon is $\exp(-bt)$, and the exponential $\log$ ratio
is therefore $10^{-8} s^{-1}$. The coefficient $b$ of the time in the
exponential term $\exp(-bt)$ can be interpreted as a tool to measure the degree
of dynamical instability, its reciprocal $\frac{1}{b}$ is the time in which the
disturbance is multiplied in the ratio. A discussion of some of the exponential
formulae is given by the scalar field $\psi(z,t)$ near the AdS boundary. It
might be possible that a long interval would elapse the system which tends to
the equilibrium state when the normal mass and conformal dimensions emerged. A
somewhat curious calculation has been made, to illustrate the holographic
entanglement entropy for this system. The foundation of all this calculation
is, of course, a knowledge of multiple (connected and disconnected) extremal
surfaces. There are several cases in which exact and approximate solutions are
jointly used, a variable numerical quantity is represented by a graph, and the
principles of approximation are then applied to determine related numerical
quantities. In the case of the disconnected phase with a finite extremal are,
we find a discontinuity in the first derivative of the entanglement entropy as
the conserved charge $J$ is increased.

High Energy Physics - Theory