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Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space

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Wei, Shao-Wen, Liu, Yu-Xiao·2014·Physical Review D

Abstract

We study the triple points and phase diagrams in the extended phase space of the charged Gauss-Bonnet black holes in $d$-dimensional anti-de Sitter space, where the cosmological constant appears as a dynamical pressure of the system and its conjugate quantity is the thermodynamic volume of the black holes. Employing the equation of state $T=T(v,P)$, we demonstrate that the information of the phase transition and behavior of the Gibbs free energy are potential encoded in the $T\ensuremath{-}v$ ($T\ensuremath{-}{r}_{h}$) line with fixed pressure $P$. We get the phase diagrams for the charged Gauss-Bonnet black holes with different values of the charge $Q$ and dimension $d$. The result shows that the small/large black hole phase transitions appear for any $d$, which is reminiscent of the liquid/gas transition of a Van der Waals type. Moreover, the interesting thermodynamic phenomena, i.e., the triple points and the small/intermediate/large black hole phase transitions are observed for $d=6$ and $Q\ensuremath{\in}(0.1705,0.1946)$.

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Metadata

Authors
Wei, S.-W., & Liu, Y.-X.
Venue
Physical Review D
Published
2014-08-21
Volume
90
Issue
4
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
OpenAlex
W2103534121
Cited by
242
References
9
FWCI
7.59
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space. https://app.cochat.ai/papers/10.1103/physrevd.90.044057
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Wei, S.-W., & Liu, Y.-X. (2014). Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space. Physical Review D. https://doi.org/10.1103/physrevd.90.044057

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