The phase transition of higher dimensional Charged black holes

TL;DR

This paper investigates phase transitions in higher-dimensional charged black holes, analyzing their thermodynamic behavior and critical points, revealing properties consistent across different spacetime asymptotics.

Contribution

It introduces a thermodynamic analysis of higher-dimensional charged black holes using state parameters analogous to Van der Waals systems, identifying critical points independent of variable choices.

Findings

Critical points are independent of the choice of dual variables.

The thermodynamic behavior is consistent between asymptotically flat and AdS spacetimes.

Black hole thermodynamics exhibits Van der Waals-like phase transition properties.

Abstract

In this paper,we have studied phase transitions of higher dimensional charge black hole with spherical symmetry. we calculated the local energy and local temperature, and find that these state parameters satisfy the first law of thermodynamics. We analyze the critical behavior of black hole thermodynamic system by taking state parameters $(Q,\Phi)$ of black hole thermodynamic system, in accordance with considering to the state parameters $(P,V)$ of Van der Waals system respectively. we obtain the critical point of black hole thermodynamic system, and find the critical point is independent of the dual independent variables we selected. This result for asymptotically flat space is consistent with that for AdS spacetime, and is intrinsic property of black hole thermodynamic system.