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Thermal dynamic phase transition of Reissner-Nordström Anti-de Sitter black holes on free energy landscape

Li, Ran, Zhang, Kun, Wang, Jin·2020·Journal of High Energy Physics
DOI 10.1007/jhep10(2020)090
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Abstract

A bstract: We explore the thermodynamics and the underlying kinetics of the van der Waals type phase transition of Reissner-Nordström anti-de Sitter (RNAdS) black holes based on the free energy landscape. We show that the thermodynamic stabilities of the three branches of the RNAdS black holes are determined by the underlying free energy landscape topography. We suggest that the large (small) RNAdS black hole can have the probability to switch to the small (large) black hole due to the thermal fluctuation. Such a state switching process under the thermal fluctuation is taken as a stochastic process and the associated kinetics can be described by the probabilistic Fokker-Planck equation. We obtained the time dependent solutions for the probabilistic evolution by numerically solving Fokker-Planck equation with the reflecting boundary conditions. We also investigated the first passage process which describes how fast a system undergoes a stochastic process for the first time. The distributions of the first passage time switching from small (large) to large (small) black hole and the corresponding mean first passage time as well as its fluctuations at different temperatures are studied in detail. We conclude that the mean first passage time and its fluctuations are related to the free energy landscape topography through barrier heights and temperatures.

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  • When the transition is spatially homogeneous, the dynamics of the RNAdS black hole phase transition has been studied based on the underlying free energy landscape.

    “When the transition is spatial homogeneous, the dynamics of the RNAdS black hole phase transition has been studied based on the underlying free energy landscape [10,11].”

    From Vacuum decay and bubble nucleation in the anti-de Sitter black holes (2022) · cites this paper as [10]

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Metadata

Authors
Li, R., Zhang, K., & Wang, J.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2020-10
Volume
2020
Issue
10
ISSN
1029-8479
DOI
10.1007/jhep10(2020)090
Cited by
74
References
3
Language
en
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