Phase Transition and Clapeyon Equation of Black Hole in Higher Dimensional AdS Spacetime

TL;DR

This paper investigates phase transitions in higher-dimensional AdS black holes using Maxwell's equal area law, deriving Clapeyron equations and analyzing coexisting phases to deepen understanding of black hole thermodynamics.

Contribution

It introduces a detailed analysis of phase transitions in higher-dimensional AdS black holes, deriving Clapeyron equations and mapping coexisting phases.

Findings

Coexisting regions of phases are identified and plotted in P-T diagrams.

Parameters affecting the coexisting curves are analytically characterized.

Clapeyron equations are derived for higher-dimensional AdS black holes.

Abstract

By Maxwell equal area law we study the phase transition in higher dimensional Anti-de Sitter (AdS) Reissner-Nordstr\"{o}m (RN) black hole and Kerr black hole in this paper. The coexisting region of the two phases involved in the phase transition is found and the coexisting curves are shown in $P-T$ figures. We also analytically investigate the parameters which affect the coexisting curves. To better compare with ordinary thermodynamic systems, the Clapeyon equation is derived for higher dimensional AdS black holes. This paper can help to deepen the understanding of the phase transition and phase structure of AdS black holes.