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

TL;DR

This paper investigates the phase transition behavior of quintessential Kerr-Newman-AdS black holes, analyzing critical phenomena using thermodynamic laws, and examines how thermal fluctuations influence their stability.

Contribution

It introduces a detailed thermodynamic analysis of quintessential Kerr-Newman-AdS black holes, emphasizing the effectiveness of the Maxwell equal-area law in studying their phase transitions.

Findings

Black holes exhibit van der Waals-like phase transitions below critical temperature.

Maxwell equal-area law effectively analyzes critical behavior of complex black holes.

Thermal fluctuations impact the stability of the black hole.

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.