Phase transition of non-linear charged Anti-de Sitter black holes

TL;DR

This paper explores the thermodynamic phase transitions of non-linear charged Anti-de Sitter black holes, analyzing conditions, latent heat, and microstructure to deepen understanding of black hole thermodynamics and quantum gravity.

Contribution

It introduces a detailed analysis of phase transition conditions, latent heat, and microstructure of non-linear charged AdS black holes using Maxwell's law and scalar curvature methods.

Findings

Phase transition related to electric potential at the horizon.

Identification of boundary and coexistence curve in phase space.

Microstructure insights via scalar curvature and order parameter.

Abstract

Understanding the thermodynamic phase transition of black holes can provide a deep insight into the fundamental properties of black hole gravity to establish the theory of quantum gravity. We investigate the condition and latent heat of phase transition for non-linear charged AdS black holes using the Maxwell's equal-area law, and analysis the boundary and curve of the two-phase coexistence area in the expanded phase space. We suggest that the phase transition of the non-linear charged AdS black hole with the fixed temperature ($T<T_c$) is related to the electric potential at the horizon, not only to the location of horizon. Recently, the molecular number density was introduced to study the phase transition and microstructure of black holes. On this basis, we discuss the continuous phase transition of a non-linear charged AdS black hole to reveal the potential microstructure of a black hole by introducing the order parameter and using the scalar curvature.