Van der Waals phase transition in the framework of holography

TL;DR

This paper investigates Van der Waals-like phase transitions in black holes using holographic entanglement entropy and correlation functions, revealing similar phase behavior as thermal entropy and analyzing critical phenomena.

Contribution

It demonstrates that nonlocal observables exhibit Van der Waals-like phase transitions in black holes and confirms the equal area law and critical exponents for these transitions.

Findings

Nonlocal observables show Van der Waals-like phase transitions.

Equal area law holds for first order transitions.

Critical exponents match mean-field theory predictions.

Abstract

Phase structure of the quintessence Reissner-Nordstr\"{o}m-AdS black hole is probed with the nonlocal observables such as holographic entanglement entropy and two point correlation function. Our result shows that, as the case of the thermal entropy, both the observables exhibit the similar Van der Waals-like phase transition. To reinforce the conclusion, we further check the equal area law for the first order phase transition and critical exponent of the heat capacity for the second order phase transition. We also discuss the effect of the state parameter on the phase structure of the nonlocal observables.