The holographic dual of a Riemann problem in a large number of dimensions

TL;DR

This paper investigates the properties of a non-equilibrium steady state created by connecting two heat baths, using holographic duality in many dimensions, and explores its phase diagram, black hole duals, and fluid/gravity links.

Contribution

It introduces a holographic framework for analyzing non-equilibrium steady states in high dimensions, connecting black hole dynamics with fluid/gravity correspondence.

Findings

Characterization of the steady state phase diagram

Description of the dual black hole solutions

Insights into the fluid/gravity relationship in non-equilibrium systems

Abstract

We study properties of a non equilibrium steady state generated when two heat baths are initially in contact with one another. The dynamics of the system we study are governed by holographic duality in a large number of dimensions. We discuss the "phase diagram" associated with the steady state; the dual, dynamical, black hole description of this problem; and its relation to the fluid/gravity correspondence.