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arXiv · 2009.04218

Phase Transition and Thermal Fluctuations of Quintessential Kerr-Newman-AdS Black Hole

M. Sharif·Qanitah Ama-Tul-Mughani
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Abstract

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 $T-S$ 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.

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M. Sharif, Qanitah Ama-Tul-Mughani. 2020-09-08. Phase Transition and Thermal Fluctuations of Quintessential Kerr-Newman-AdS Black Hole. https://arxiv.org/abs/2009.04218

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