$P-V$ criticality of AdS black hole in the Einstein-Maxwell-power-Yang-Mills gravity

TL;DR

This paper investigates the phase transition behavior of higher-dimensional AdS black holes within Einstein-Maxwell-power-Yang-Mills gravity, revealing Van der Waals-like transitions and universal critical exponents similar to liquid-gas systems.

Contribution

It demonstrates the existence of Van der Waals-like phase transitions in N-dimensional AdS black holes with specific charge conditions in Einstein-Maxwell-power-Yang-Mills gravity.

Findings

Existence of small-large black hole phase transitions.

Critical exponents match those of Van der Waals liquid-gas system.

Phase transition behavior depends on specific charge values.

Abstract

We study the $P-V$ critical behaivor of N-dimensional AdS black holes in Einstein-Maxwell-power-Yang-Mills gravity. Our results show the existence of the Van der Waals like small-large black hole phase transitions when taking some special values of charges of the Maxwell and Yang-Mills (YM) fields. Further to calculate the critical exponents of the black holes at the critical point, we find that they are the same as those in the Van der Waals liquid-gas system.