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arXiv · 2210.02006

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

Yun-Zhi Du·Huai-Fan Li·Yang Zhang·Xiang-Nan Zhou·Jun-Xin Zhao
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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.

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Yun-Zhi Du, Huai-Fan Li, Yang Zhang, Xiang-Nan Zhou, Jun-Xin Zhao. 2022-10-05. Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole. https://doi.org/10.3390/e25040687

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