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Ehrenfest’s scheme and microstructure for regular-AdS black hole in the extended phase space
Classical and Quantum Gravity ( IF 3.5 ) Pub Date : 2021-05-07 , DOI: 10.1088/1361-6382/abf9b6
Sen Guo , En-Wei Liang

The regular (Bardeen)–anti-de Sitter (AdS) (BAdS) black hole (BH) in the extended phase space is taken as an example for investigating the BH phase transition grade from both macroscopic and microscopic points of view. The equation of state and thermodynamic quantities of this BH are obtained. It is found that the BAdS BH phase space in the extended phase space should be a second-order phase transition near the critical point by verifying the Ehrenfest’s equation, and the possibility of its first-order phase transition can be ruled out by the entropy continuity and the heat capacity mutation. The critical exponents from the microscopic structure are analytically and numerically presented with the Landau continuous phase transition theory by introducing a microscopic order-parameter.



中文翻译:

扩展相空间中规则 AdS 黑洞的 Ehrenfest 方案和微观结构

以扩展相空间中的规则(Bardeen)-反德西特(AdS)(BAdS)黑洞(BH)为例,从宏观和微观两个角度研究BH相变等级。得到该BH的状态方程和热力学量。通过验证Ehrenfest方程发现扩展相空间中的BAdS BH相空间在临界点附近应该是二阶相变,熵连续性可以排除其一阶相变的可能性和热容量突变。通过引入微观有序参数,利用朗道连续相变理论分析和数值地呈现微观结构的关键指数。

更新日期:2021-05-07
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