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arXiv · 2006.14349

Extended Phase Space Thermodynamics for Black Holes in a Cavity

Peng Wang·Houwen Wu·Haitang Yang·Feiyu Yao
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Abstract

In this paper, we extend the phase space of black holes enclosed by a spherical cavity of radius $r_{B}$ to include $V\equiv4\pi r_{B}^{3}/3$ as a thermodynamic volume. The thermodynamic behavior of Schwarzschild and Reissner-Nordstrom (RN) black holes is then investigated in the extended phase space. In a canonical ensemble at constant pressure, we find that the aforementioned thermodynamic behavior is remarkably similar to that of the anti-de Sitter (AdS) counterparts with the cosmological constant being interpreted as a pressure. Specifically, a first-order Hawking-Page-like phase transition occurs for a Schwarzschild black hole in a cavity. The phase structure of a RN black hole in a cavity shows a strong resemblance to that of the van der Waals fluid. Our results may provide a new perspective for the extended thermodynamics of AdS black holes by analogy with black holes in a cavity.

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Peng Wang, Houwen Wu, Haitang Yang, Feiyu Yao. 2020-06-25. Extended Phase Space Thermodynamics for Black Holes in a Cavity. https://doi.org/10.1007/jhep09(2020)154

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