首页|Thermodynamics of charged AdS black hole surrounded by quintessence in restricted phase space
Thermodynamics of charged AdS black hole surrounded by quintessence in restricted phase space
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We study thermodynamics of charged AdS black hole surrounded by quintessence in a new formalism which is called the restricted phase space thermodynamics.This context is based on Visser's holographic thermodynamics with a fixed anti-de Sitter radius and a variable Newton constant.The conjugate variables,central charge C and the chemical potential μ,are introduced as a new pair of thermodynamic variables.We find that the iso-e-charge T-S curve becomes non-monotonic when Q＜Qc.Correspondingly,the F-T curve exhibits a swallow tail structure.This behavior is considered as a van der Waals-like phase transition.As the value of b related to the energy density of Kiselev's fluid becomes larger,the critical temperature Tc will decrease.Thus,the van der Waals-like phase transition will occur at lower temperature.There is always a non-quilibrium transition from a small unstable black hole to a large stable black hole state in the isocoltage T-S process.There exist a maximum and a Hawking-Page phase transition points in the μ-C plane.As the value of b related to Kiselev's fluid becomes larger,the Hawking-Page phase transition will occur at lower temperature in the isovoltage μ-T process.For other values of the state parameter ω,there also exists van der Waals-like phase transition.
Reissner-Nordström qAdS black holerestricted phase spacevariable Newton constant
简思雨、龙思颖、陈菊华、王永久
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Department of Physics,Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education,and Synergetic Innovation Center for Quantum Effects and Applications,Hunan Normal University,Changsha 410081,China
National Natural Science Foundation of ChinaNational Natural Science Foundation of China
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