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

By Shao-Wen Wei, Yu-Xiao Liu. 2014

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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 - v ( T - 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 is an element of (0.1705, 0.1946).

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b47f2ebb1ccc1e84faa1b7b7cdc2e5d5b6444189

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Citations in the corpus

Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, methodology): “Soon later, we clearly showed the triple point and phase structure, but it is only exists in a small parameter range for six dimensions [20].”
Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, background): “This approach has been extended to a very large variety of AdS black holes, and phenomena such as reentrant phase transitions, triple points, isolated critical points, and λ-line phase transitions have all been observed in different black hole systems [40–51].”
Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, methodology): “Before we proceed to 3rd-order Lovelock gravity, in this section we recapitulate and slightly elaborate on the behaviour of U(1) charged Gauss-Bonnet black holes [30, 32, 35, 36, 46, 47].”
Black hole chemistry: thermodynamics with Lambda (2016, background): “Similar behavior has also recently been observed for black holes in higher curvature theories of gravity [82, 170, 171].”