P-V criticality of charged AdS black holes

TL;DR

This paper explores the thermodynamic phase transitions of charged AdS black holes by treating the cosmological constant as pressure, revealing critical behavior analogous to the Van der Waals liquid-gas system.

Contribution

It demonstrates the critical behavior of charged AdS black holes and calculates critical exponents, establishing a thermodynamic analogy with classical fluid systems.

Findings

Critical point occurs at divergence of specific heat at constant pressure.

Critical exponents match those of the Van der Waals system.

Black hole thermodynamics exhibits phase transition behavior similar to liquids and gases.

Abstract

Treating the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the critical behaviour of charged AdS black holes. We complete the analogy of this system with the liquid-gas system and study its critical point, which occurs at the point of divergence of specific heat at constant pressure. We calculate the critical exponents and show that they coincide with those of the Van der Waals system.