Continuous phase transition and microstructure of charged AdS black hole with quintessence
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Regular Article - Theoretical Physics
Continuous phase transition and microstructure of charged AdS black hole with quintessence Xiong-Ying Guo1,2 , Huai-Fan Li1,2,a , Li-Chun Zhang1,2 , Ren Zhao2 1 2
Department of Physics, Shanxi Datong University, Datong 037009, China Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China
Received: 1 December 2019 / Accepted: 30 December 2019 © The Author(s) 2020
Abstract Previously, the Maxwell equal-area law has been used to discuss the conditions satisfied by the phase transition of charged AdS black holes with cloud of string and quintessence, and it was concluded that black holes have phase transition similar to that of vdW system. The phase transition depends on the electric potential of the black hole and is not the one between a large black hole and a small black hole. On the basis of this result, we study the relation between the latent heat of the phase transition and the parameter of dark energy, and use the Landau continuous phase transition theory to discuss the critical phenomenon of the black hole with quintessence and give the critical exponent. By introducing the number density of the black hole molecules, some properties of the microstructure of black holes are studied in terms of a phase transition. It is found that the electric charge of the black hole and the normalization parameter related to the density of quintessence field play a key role in the phase transition. By constructing the binary fluid model of the black hole molecules, we also discuss the microstructure of charged AdS black holes with a cloud of strings and quintessence.
1 Introduction As an interdisciplinary area of general relativity, quantum mechanics, thermodynamics and statistical physics, particle physics and string theory, black hole physics plays a very important role in modern physics. The investigation of the thermal properties and the internal microstructure of black holes has always been one of the topics of interest to theoretical physicists. Recently, based on the study of the thermodynamic properties of black holes, some researchers have adopted Boltzmann’s profound idea, i.e., a black hole can change its temperature by absorbing and emitting matter. An a e-mails:
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object with a temperature has a microstructure. According to this view, the literature [1–3] proposes that black holes are also composed of valid molecules. They think that just as our rooms are filled with air molecules, the interior of a black hole is filled with a kind of “black hole molecule”. These black hole molecules, of course, give the number of microscopic states of a black hole in a statistical physical sense, and hence the entropy of a black hole. They believe that this internal entropy is equivalent to the “Bekenstein–Hawking entropy” of the black hole horizon, and that the black hole molecules themselves carry microscopic degrees of freedom of the black hole’s entropy. Based on this hypothesis, the
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