A perfect fluid hydrodynamic picture of domain wall velocities at strong coupling

TL;DR

This paper demonstrates that domain wall velocities in strongly coupled theories undergoing a first order phase transition can be accurately described using perfect fluid hydrodynamics and gauge/gravity duality, linking velocities to the equation of state.

Contribution

It introduces a simple hydrodynamic formula for domain wall velocities at strong coupling, validated through gauge/gravity duality, connecting phase transition dynamics to fluid models.

Findings

Domain wall velocities follow a hydrodynamic formula.

Gauge/gravity duality confirms the hydrodynamic predictions.

Velocities are directly related to the equation of state.

Abstract

We show that for a range of strongly coupled theories with a first order phase transition, the domain wall or bubble velocity can be expressed in a simple way in terms of a perfect fluid hydrodynamic formula, and thus in terms of the equation of state. We test the predictions for the domain wall velocities using the gauge/gravity duality.