Thermodynamics and Van der Waals phase transition of charged black holes in flat spacetime via Rényi statistics
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Author list: Chatchai Promsiri, Ekapong Hirunsirisawat, and Watchara Liewrian
Publisher: American Physical Society
Publication year: 2020
Journal: Physical Review D (particles, fields, gravitation, and cosmology) (2470-0010)
Volume number: 102
Issue number: 6
ISSN: 2470-0010
eISSN: 2470-0029
Languages: English-Great Britain (EN-GB)
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Abstract
The phase structure and critical phenomena of the 3+1 dimensional charged black holes in asymptotically flat spacetime are investigated within the Rényi statistics. As the nonextensive parameter λ above zero, a charged black hole can be in thermodynamic equilibrium with surrounding thermal radiation and have a Hawking-Page phase transition. This gives more evidence supporting the proposed conjectured equivalence between the black hole thermodynamics in asymptotically flat spacetime via Rényi statistics and that in asymptotically anti-de Sitter (AdS) spacetime via Gibbs-Boltzmann statistics. The present work also provides another aspect of supporting evidence through exploring the extended phase space within the Rényi statistics. Working on a modified version of the Smarr formula, the thermodynamic pressure P and volume v of a charged black hole are found to be related to λ. The thermodynamics of asymptotically flat charged black holes via Rényi statistics has the Van der Waals phase structure, P-v criticality and universal constant, in a similar way as that of asymptotically AdS charged black hole via Gibbs-Boltzmann statistics. This raises an interesting question of how λ in the former system relates to |Λ| in the latter one. © 2020 authors. Published by the American Physical Society.
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