Thermodynamic Phase Transition of Generalized Ayon-Beato Garcia Black Holes with Schwarzschild anti de Sitter space time perspective
نویسندگان :
Ghaffarnejad Hossein ( Semnan ) , Elham Ghasemi ( semnan )
چکیده
In this work we study thermodynamics of generalized Ayon-Beato and Garcia (ABG) black hole metric which contains three parameters named as mass $m$, magnetic charge $q$ and dimensionless coupling constant of nonlinear electrodynamics interacting field $gamma$. This is done at extended phase space where we need a cosmological parameter which behaves as the pressure thermodynamic coordinate. We generate the necessary cosmological parameter from the charge parameter of the ABG metric field. In short we first extract a variable cosmological parameter together with a variable mass function such that the ABG black hole metric can be shown similar to a Schwarzschild anti de Sitter form apparently. Then by calculating the Hawking temperature of the black hole we obtain equation of state. By studying isothermal P-v curves we infer that the system participates in the Hawking-Page phase transition where the disequilibrium evaporating ABG black hole reaches finally to a vacuum AdS space. Other diagrams such that Gibbs free energy, heat capacity and entropy satisfy possibility of phase transition and there is also a coexistence point in phase space depended to $gamma$ value where the two different phases exist synchronously. For small scale black holes there are three phase while for larger than there are just two phase.کليدواژه ها
Ayon-Beato-Garcia black hole, thermodynamics, phase transition, Anti de Sitter, nonlinear electromagneticکد مقاله / لینک ثابت به این مقاله
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