Abstract
In order to achieve a deeper understanding of gravity theories, it is important to further investigate the thermodynamic properties of black hole at the critical point, besides the phase transition and critical behaviors. In this paper, by using Maxwell's equal area law, we choose $T,Q,\Phi$ as the state parameters and study the phase equilibrium problem of general $(n+1)$-dimensional RN-AdS black holes thermodynamic system. The boundary of the two-phase coexistence region and its isotherm and isopotential lines are presented, which may provide theoretical foundation for studying the phase transition and phase structure of black hole systems.
Highlights
The cosmological constant in AdS space-time and the state parameter-pressure in general thermodynamic system are always parallelized as n(n − 1)
∂ P S,Qi,Jk where T, P, and V are the variable state parameters [1–26]. This traditional method has been extensively applied to the characterization of general thermodynamic systems and to the establishing of complete simulation for AdS spacetime black hole thermodynamic liquid/gas system [27–45]
The P–V phase diagram of AdS space-time black holes was analyzed in Ref. [30], which implied the existence of a mechanical unstable region when the black hole temperature is low
Summary
The second approach is to turn to Maxwell’s equal area law and discuss the critical behavior of AdS space-time black hole system [19,51–55], which have proved the existence of second-order phase transition at black hole phase transformation point. We will use Maxwell’s equal area law to study the thermodynamic properties of general (n + 1)dimensional RN-AdS black holes.
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