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

Abstract

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.

17 pages, 8 figures, 3 tables

References in corpus (8)

• Building an AdS/CFT superconductor
• Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections
• Towards a Novel no-hair Theorem for Black Holes
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• Slowly Rotating Charged Gauss-Bonnet Black holes in AdS Spaces
• On The Phase Structure and Thermodynamic Geometry of R-Charged Black Holes
• Thermodynamics of Gauss-Bonnet black holes revisited
• Phase structures of holographic screen themodynamics

Cited by in corpus (21)

• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• P-V criticality in the extended phase space of black holes in massive gravity
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• P-V criticality of charged dilatonic black holes
• Critical behavior of charged black holes in Gauss-Bonnet gravity`s rainbow
• Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
• Charged de Sitter-like black holes: quintessence-dependent enthalpy and new extreme solutions
• Phase transitions of hairy black holes in massive gravity and thermodynamic behavior of charged AdS black holes in an extended phase space
• A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravity
• Phantom black holes and critical phenomena
• Critical behaviors of black hole in an asymptotically safe gravity with cosmological constant
• A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time
• Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble
• Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
• Phase transition of the higher dimensional charged Gauss-Bonnet black hole in de Sitter spacetime
• Modifying horizon thermodynamics by surface tensions