Holographic Equilibration of Nonrelativistic Plasmas

TL;DR

This paper investigates the non-equilibrium dynamics of strongly interacting Lifshitz plasmas using holography, revealing how equilibration times depend on the dynamical exponent z and the spatial dimension d.

Contribution

It provides the first detailed holographic analysis of isotropization in Lifshitz black branes across various z and d, including stability and relaxation characteristics.

Findings

Equilibration times are of order inverse temperature with minimal z dependence.

Relaxation times are characterized by the ratio z/(d-1).

Overdamped or oscillatory behavior depends on whether z is greater or less than d-1.

Abstract

We study far-from-equilibrium physics of strongly interacting plasmas at criticality and zero charge density for a wide range of dynamical scaling exponents z in d dimensions using holographic methods. In particular, we consider homogeneous isotropization of asymptotically Lifshitz black branes with full backreaction. We find stable evolution and equilibration times that exhibit small dependence of z and are of the order of the inverse temperature. Performing a quasinormal mode analysis we find a corresponding narrow range of relaxation times, fully characterized by the fraction z/(d-1). For z>=d-1, equilibration is overdamped, whereas for z<d-1 we find oscillatory behavior.