# Holographic Van der Waals phase transition of the higher dimensional electrically charged hairy black hole

## TL;DR

This paper investigates Van der Waals-like phase transitions in higher-dimensional charged hairy black holes within AdS space using holographic tools, confirming the phase transition through numerical equal area law checks.

## Contribution

It demonstrates the existence of Van der Waals-like phase transitions in higher-dimensional charged hairy black holes via holographic methods and numerically verifies the equal area law.

## Key findings

- Van der Waals-like phase transition observed in higher-dimensional charged hairy black holes.
- Numerical verification of the Maxwell's equal area law for the phase transition.
- Holographic tools effectively characterize black hole phase structures.

## Abstract

With motivation by holography, employing black hole entropy, two point connection function and entanglement entropy, we show that, for the higher dimensional Anti-de Sitter charged hairy black hole in the fixed charged ensemble, a Van der Waals-like phase transition can be observed. Furthermore, based on the Maxwell's equal area construction, we check numerically the equal area law for a first order phase transition in order to further characterize the Van der Waals-like phase transition.