On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes

TL;DR

This paper investigates the phase transitions and thermodynamic geometry of charged topological dilaton AdS black holes, revealing how their critical behavior depends on spacetime dimensions, dilaton field, and cosmological parameters.

Contribution

It provides a detailed analysis of the phase structure and critical phenomena of dilaton black holes considering multiple parameters, highlighting their dependence on various physical factors.

Findings

Phase structure varies with dimensionality and dilaton field.

Critical phenomena depend on cosmological constant and electric charge.

Thermodynamic geometry reveals stability conditions.

Abstract

In this paper, we study the phase structure and equilibrium state space geometry of charged topological dilaton black holes in $(n+1)$-dimensional anti-de Sitter spacetime. By considering the pairs of parameters $(P\sim V)$ and $(Q\sim U)$ as variables, we analyze the phase structure and critical phenomena of black holes and discuss the relation between the two kinds of critical phenomena. We find that the phase structures and critical phenomena drastically depend on the cosmological constant $l$ (or the static electric charge $Q$ of the black holes), dimensionality $n$ and dilaton field $\Phi $.