Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole
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.
Keywords
Cite
@article{arxiv.2210.02006,
title = {Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole},
author = {Yun-Zhi Du and Huai-Fan Li and Yang Zhang and Xiang-Nan Zhou and Jun-Xin Zhao},
journal= {arXiv preprint arXiv:2210.02006},
year = {2023}
}