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Phase transition and thermal fluctuations of quintessential Kerr–Newman–AdS black hole
Physics of the Dark Universe ( IF 5.5 ) Pub Date : 2020-09-23 , DOI: 10.1016/j.dark.2020.100723
M. Sharif , Qanitah Ama-Tul-Mughani

This paper is devoted to analyzing the critical phenomenon and phase transition of quintessential Kerr–Newman-anti-de Sitter black hole in the framework of Maxwell equal-area law. For this purpose, we first derive thermodynamic quantities such as Hawking temperature, entropy and angular momentum in the context of extended phase space. These quantities satisfy Smarr–Gibbs–Dehum relation in the presence of quintessence matter. We then discuss the critical behavior of thermodynamic quantities through two approaches, i.e., van der Waals-like equation of state and Maxwell equal-area law. It is found that the latter approach is more effective to analyze the critical behavior of the complicated black holes. Using equal-area law, we also study phase diagram in TS plane and find an isobar which shows the coexistence region of two phases. We conclude that below the critical temperature, black holes show a similar phase transition as that of van der Waals fluid. Finally, we study the effects of thermal fluctuations on the stability of this black hole.



中文翻译:

典型的Kerr-Newman-AdS黑洞的相变和热涨落

本文致力于在麦克斯韦等面积定律的框架下分析典型的Kerr-Newman-anti-de Sitter黑洞的临界现象和相变。为此,我们首先在相空间扩展的情况下得出热力学量,例如霍金温度,熵和角动量。在存在典型物质的情况下,这些量满足Smarr–Gibbs–Dehum关系。然后,我们通过两种方法讨论热力学量的临界行为,即范德华式状态方程和麦克斯韦等面积定律。发现后一种方法更有效地分析了复杂黑洞的临界行为。使用等面积定律,我们还研究了相图Ť小号平面并找到等压线,该等压线显示了两个相的共存区域。我们得出的结论是,在临界温度以下,黑洞显示出与范德华斯流体相似的相变。最后,我们研究了热涨落对黑洞稳定性的影响。

更新日期:2020-09-24
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