Bjorken Flow of Holographic R-Charged Plasmas

TL;DR

This paper numerically studies the evolution of physical observables in a holographic model of a charged plasma undergoing Bjorken flow, revealing correlations between entropy and energy-momentum tensor during far-from-equilibrium stages.

Contribution

It provides the first numerical evidence of correlations between holographic entropy and energy-momentum tensor in a charged plasma during non-equilibrium evolution.

Findings

Strong correlations between entropy and energy-momentum tensor observed.

Results extend previous findings from neutral and singly charged models.

Correlations are relevant in pre-hydrodynamic stages of plasma evolution.

Abstract

We numerically investigate the time evolution of several physical observables for the so-called 2 R-Charge Black Hole (2RCBH) model undergoing Bjorken flow. The 2RCBH model corresponds to a top-down holographic construction describing a strongly interacting conformal fluid defined at finite temperature and R-charge density. Taken together with previous findings for the purely thermal $\mathcal{N}=4$ Supersymmetric Yang-Mills (SYM) plasma, and the 1 R-Charge Black Hole (1RCBH) model, our results for the 2RCBH model provide strong numerical evidence for the existence of far-from-equilibrium correlations between the non-equilibrium holographic entropy defined through the area of the apparent horizon of dynamical bulk black holes, and the expectation value of the energy-momentum tensor of the dual boundary quantum field theory. Such correlations are relevant in the pre-hydrodynamic stages of some initial data evolved in time, and seem to hold at least for strongly interacting conformal fluids, be they charged or neutral.