Two-phase equilibrium properties in charged topological dilaton AdS black holes

TL;DR

This paper investigates the phase transition behavior of charged topological dilaton AdS black holes, analyzing coexistence regions, equilibrium curves, and latent heat, revealing similarities to standard thermodynamic systems.

Contribution

It introduces a detailed analysis of phase transitions in dilaton AdS black holes using Maxwell's equal area law, including coexistence regions and thermodynamic properties.

Findings

Black holes exhibit small-large phase transitions.

Coexistence regions are mapped in P-v diagrams.

Latent heat of phase transition is characterized.

Abstract

In this paper we discuss phase transition of the charged topological dilaton AdS black holes by Maxwell equal area law. The two phases involved in the phase transition could be coexist and we depict the coexistence region in $P-v$ diagrams. The two-phase equilibrium curves in $P-T$ diagrams are plotted, the Clapeyron equation for the black hole is derived, and the latent heat of isothermal phase transition is investigated. We also analyze of the parameters of the black hole that have an effect on the two phases coexistence. The results show that the black hole may go through a small-large phase transition similar to those of usual non-gravity thermodynamic systems.