Thermodynamics and Glassy Phase Transition of Regular Black Holes

TL;DR

This paper investigates the thermodynamics and phase transitions of regular charged black holes using exponential and logistic metrics, revealing second order phase transitions and glassy behavior in specific models.

Contribution

It introduces analysis of phase transitions in regular black holes with new metric functions and explores their critical behavior and glassy phases in higher dimensions.

Findings

Second order phase transition at critical points.

Divergent phase transition curves near critical points.

Glassy phase transition observed in 5-dimensional black holes.

Abstract

The present paper is aimed to study thermodynamical properties of phase transition for regular charged black holes. In this context, we have considered two different forms of black hole metrics supplemented with exponential and logistic distribution functions and investigated the recent expansion of phase transition through grand canonical ensemble. After exploring the corresponding Ehrenfest's equation, we found the second order background of phase transition at critical points. In order to check the critical behavior of regular black holes, we have evaluated some corresponding explicit relations for the critical temperature, pressure and volume and draw certain graphs with constant values of Smarr's mass. We found that for the BH metric with exponential configuration function, the phase transition curves are divergent near the critical points, while glassy phase transition has been observed for the Ay\'{o}n-Beato-Garc\'{i}a-Bronnikov BH in $n=5$ dimensions.