Critical behavior of Born Infeld AdS black holes in higher dimensions

TL;DR

This paper studies the critical behavior of higher-dimensional Born-Infeld AdS black holes, revealing universal critical exponents and their compliance with thermodynamic scaling laws, extending understanding of black hole phase transitions.

Contribution

It introduces a canonical framework to analyze critical phenomena in higher-dimensional Born-Infeld AdS black holes and demonstrates the universality of critical exponents across dimensions.

Findings

Critical points identified by heat capacity divergences.

Critical exponents satisfy thermodynamic scaling laws.

Exponents are universal, independent of spatial dimensions.

Abstract

Based on a canonical framework, we investigate the critical behavior of Born-Infeld AdS black holes in higher dimensions. As a special case, considering the appropriate limit, we also analyze the critical phenomena for Reissner Nordstrom AdS black holes. The critical points are marked by the divergences in the heat capacity at constant charge. The static critical exponents associated with various thermodynamic entities are computed and shown to satisfy the thermodynamic scaling laws. These scaling laws have also been found to be compatible with the static scaling hypothesis. Furthermore, we show that the values of these exponents are universal and do not depend on the spatial dimensionality of the AdS space. We also provide a suggestive way to calculate the critical exponents associated with the spatial correlation which satisfy the scaling laws of second kind.