Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole

TL;DR

This paper explores the thermodynamics of Einstein-Power-Yang-Mills AdS black holes, revealing a novel supercritical phase transition and analyzing the effects of non-linear Yang-Mills parameters within the gauge-gravity duality framework.

Contribution

It introduces a new extended thermodynamic first law including pressure and central charge, and uncovers a supercritical phase transition behavior in this black hole system.

Findings

Discovery of supercritical phase transition in the system

Effective volume as the dual of pressure, not geometric volume

Second-order phase transition confirmed via Ehrenfest's scheme

Abstract

We consider the thermodynamics of the Einstein-Power-Yang-Mills AdS black holes in the context of the gauge-gravity duality. Under this framework, the Newton's gravitational constant and the cosmological constant are varied in the system. We rewrite the thermodynamical first law in a more extended form containing both the pressure and the central charge of the dual conformal field theory, i.e., the restricted phase transition formula. A novel phenomena arises: the dual quantity of pressure is the effective volume, not the geometric one. That is leading to a new behavior of the Van de Waals-like phase transition for this system with the fixed central charge: the supercritical phase transition. From the Ehrenfest's scheme perspective, we check out the second-order phase transition of the EPYM AdS black hole. Furthermore the effect of non-linear Yang-Mills parameter on these thermodynamical properties is also investigated.