P-V criticality and phase transition of the Kerr-Sen-AdS Black Hole

In this paper, we analyze the critical phenomena and phase transition of the Kerr-Sen-anti-de Sitter black hole in the framework of Maxwell equal-area law. First, we review the exact expressions of thermodynamic quantities such as entropy, Hawking temperature and angular momentum in the extended phase space. These quantities satisfy the usual first law of thermodynamics as well as Smarr-Gibbs-Dehum relation. The critical behavior of thermodynamic quantities is analyzed through two techniques, i.e., Maxwell equal-area law and van der Waal-like equation of state. It is found that the former technique is more proficient to study the critical behavior of complicated black holes. Second, we construct phase diagram in T-S conjugate variables and find an isobar using equal-area law. It is concluded that below the critical pressure, black holes observe similar phase transition as that of liquid-gas van der Waal fluid. Finally, we analyze the impact of thermal fluctuations on the stability of considered black hole solution.

Automated summary

This paper analyzes the critical phenomena and phase transition of Kerr-Sen-anti-de Sitter black hole using Maxwell equal-area law and van der Waal-like equation of state, finding the former technique more proficient for complicated black holes. By constructing phase diagram and studying the impact of thermal fluctuations, it is concluded that black holes below critical pressure exhibit similar phase transition as liquid-gas van der Waal fluid.