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arXiv 2109.13667gr-qc
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扩展相空间中腔体包围的黑洞热力学和相变的量子修正

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

摘要:

在扩展的相空间中,我们研究了被球腔包围的Schwarzschild黑洞的彩虹引力修正热力学现象和相结构。结果表明,彩虹引力对黑洞的热力学现象和相结构有非常显著的影响。它阻止了黑洞的完全蒸发,并导致了一个温度有限但没有质量的残余物。此外,我们恢复了$P-V$的临界性,得到了正则系综的临界量。当温度或压力小于临界值时,系统发生两次Hawking-Page相变和一次一级相变,而这在原来的情况下是不可能发生的.值得注意的是,我们的研究结果表明,在扩展的相空间中被空腔包围的彩虹SC黑洞的热力学行为和相变类似于Reissner-Nordström anti-de Sitter黑洞。因此,彩虹引力激活了黑洞演化中的电荷效应和截止因子。

英文摘要:

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-Nordström 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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