# Real-Time dynamics and phase separation in a holographic first order phase transition

## TL;DR

This paper investigates the real-time evolution of a holographic system with a first order phase transition, revealing phase separation and domain formation, and suggesting a diverse set of inhomogeneous black hole solutions.

## Contribution

It provides a detailed analysis of nonlinear dynamics and phase separation in holographic models with first order transitions, highlighting the existence of inhomogeneous black hole solutions.

## Key findings

- Phase separation occurs during the evolution.
- Inhomogeneous black hole solutions are identified.
- Domain formation is observed in the final state.

## Abstract

We study the fully nonlinear time evolution of a holographic system possessing a first order phase transition. The initial state is chosen in the spinodal region of the phase diagram, and includes an inhomogeneous perturbation in one of the field theory directions. The final state of the time evolution shows a clear phase separation in the form of domain formation. The results indicate the existence of a very rich class of inhomogeneous black hole solutions.