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arXiv · 2109.13667

Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space

Zhong-Wen Feng·Xia Zhou·Shi-Qi Zhou·Shu-Zheng Yang
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Abstract

In the extended phase space, we investigate the rainbow gravity-corrected thermodynamic phenomena and phase structure of the Schwarzschild black hole surrounded by a spherical cavity. The results show that rainbow gravity has a very significant effect on the thermodynamic phenomena and phase structure of the black hole. It prevents the black hole from total evaporation and leads to a remnant with a limited temperature but no mass. Additionally, we restore the $P-V$ criticality and obtaine the critical quantities of the canonical ensemble. When the temperature or pressure is smaller than the critical quantities, the system undergoes two Hawking-Page-like phase transitions and one first-order phase transition, which never occurs in the original case. Remarkably, our findings demonstrate that the thermodynamic behavior and phase transition of the rainbow SC black hole surrounded by a cavity in the extended phase space are analogous to those of the Reissner-Nordstr\"{o}m anti-de Sitter black hole. Therefore, rainbow gravity activates the effect of electric charge and cutoff factor in the evolution of the black hole.

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Zhong-Wen Feng, Xia Zhou, Shi-Qi Zhou, Shu-Zheng Yang. 2021-09-27. Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space. https://doi.org/10.1088/1572-9494%2Fac770d

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