Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes

By Shao-Wen Wei, Yu-Xiao Liu. 2012

233 citations recorded by the source corpus.

In this paper, we study the phase structure and equilibrium state space geometry of charged topological Gauss-Bonnet black holes in d-dimensional anti-de Sitter spacetime. Several critical points are obtained in the canonical ensemble, and the critical phenomena and critical exponents near them are examined. We find that the phase structures and critical phenomena drastically depend on the cosmological constant Lambda and dimensionality d. The result also shows that there exists an analogy between the black hole and the van der Waals liquid gas system. Moreover, we explore the phase transition and possible property of the microstructure using the state space geometry. It is found that the Ruppeiner curvature diverges exactly at the points where the heat capacity at constant charge of the black hole diverges. This black hole is also found to be a multiple system, i.e., it is similar to the ideal gas of fermions in some range of the parameters, while to the ideal gas of bosons in another range. DOI: 10.1103/PhysRevD.87.044014

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cadd67e1e3054a2c326862c02bede3b688fc54a5

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Citations in the corpus

Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, background): “Previous work on this subject has been concerned primarily with 2nd-order Lovelock gravity (quadratic in the curvature) [30, 32, 35, 36, 45, 46, 47], better known as Gauss–Bonnet gravity, in which terms quadratic in the curvature are added to the action.”
On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes (2013, background): “, [35, 36, 38], while denoting ωg and ωl the ‘volume’ of small and large black holes, we get the following two equations: p = 1 + t ρc − tωl q̃ρc −Cω(3) l = 1 + t ρc − tωg q̃ρc − Cω(3) g ,”
Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, background): “In order to solve this problem, some other geometries were proposed; see [25–36] and references therein.”
Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, background): “Fixing the cosmological constant, it was found that the six-dimensional charged GB-AdS black hole has four extremal points at one isothermal curve, which implies that there must exist a triple point phase structure beyond the VdW one [18].”
Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, background): “For charged or rotating black holes one likewise observes a small/large black hole first order phase transition reminiscent of the liquid/gas transition of the van der Waals fluid [4,6,8,15–17,21,22,27,28,33,39,62–71].”