Extended thermodynamics and critical behavior of generalized dilatonic Lifshitz black holes

TL;DR

This paper explores the thermodynamics of generalized dilatonic Lifshitz black holes, revealing van der Waals-like phase transitions and critical behavior by treating curvature radius and matter coupling as thermodynamic variables.

Contribution

It introduces an extended thermodynamic framework for these black holes, incorporating additional variables and analyzing their stability and critical phenomena.

Findings

Curvature radius and matter coupling act as thermodynamic variables.

Black holes exhibit van der Waals-like phase transitions.

Results align with mean field theory predictions.

Abstract

We study a particular Einstein-Maxwell-Dilaton black hole configuration with cosmological constant, expressed in terms of the curvature radius, from the point of view of quasi-homogeneous thermodynamics. In particular, we show that the curvature radius and the coupling constant of the matter fields can be treated as thermodynamic variables in the framework of extended thermodynamics, leading in both cases to a van der Waals-like behavior. We also investigate in detail the stability and critical properties of the black holes and obtain results, which are compatible with the mean field approach.