Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes
arXiv:1412.2162 · doi:10.1140/epjc/s10052-015-3299-7
Abstract
Interpreting the cosmological constant Λas a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we study the Maxwell's equal area law of higher dimensional Gauss-Bonnet-AdS black holes in extended phase space. These black hole solutions critically behave like Van der Waals systems. It has been realized that below the critical temperature T_c the stable equilibrium is violated. We show through calculations that the critical behaviors for the uncharged black holes only appear in d=5. For the charged case, we analyse solutions in d = 5 and d = 6 separately and find that, up to some constrains, the critical behaviors only appear in the spherical topology. Using the Maxwell's construction, we also find the isobar line for which the liquid-gas-like phases coexist.
arXiv comment18 pages, 4 figures, latex. References added and typos corrected. Minor changes. Final version accepted in European Physical Journal C
References in corpus (26)
- P-V criticality of charged AdS black holes
- Charged AdS Black Holes and Catastrophic Holography
- Gauss-Bonnet Black Holes in AdS Spaces
- Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
- Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Pressure and volume in the first law of black hole thermodynamics
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
- Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
- Smarr Formula and an Extended First Law for Lovelock Gravity
- Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
- On Thermodynamics of AdS Black Holes in Arbitrary Dimensions
- Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
- Critical phenomena of static charged AdS black holes in conformal gravity
- Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality
- A unified picture of phase transition: from liquid-vapour systems to AdS black holes
- criticality of AdS black hole in gravity
- Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes
- On Thermodynamical Behaviors of Kerr-Newman AdS Black Holes
- Quantum Statistical Relation for black holes in nonlinear electrodynamics coupled to Einstein-Gauss-Bonnet AdS gravity
- Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source
- Phase Transition and Clapeyon Equation of Black Hole in Higher Dimensional AdS Spacetime
- Maxwell's equal area law for charged Anti-deSitter black holes
- Critical Behaviors of 3D Black Holes with a Scalar Hair
- Two-phase equilibrium properties in charged topological dilaton AdS black holes
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- Black holes in Einsteinian cubic gravity
- P-V criticality of AdS black holes in a general framework
- Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity
- Behavior of Quasinormal Modes and high dimension RN-AdS Black Hole phase transition
- Joule-Thomson Expansion of RN-AdS Black Holes in gravity
- Thermodynamics of hairy black holes in Lovelock gravity
- Critical behaviors and phase transitions of black holes in higher order gravities and extended phase spaces
- On Thermodynamics of AdS Black Holes in M-Theory
- Hairy black holes in cubic quasi-topological gravity
- An equal area law for holographic entanglement entropy of the AdS-RN black hole
- More Insight into Microscopic Properties of RN-AdS Black Hole Surrounded by Quintessence via an Alternative Extended Phase Space
- Chaos in charged AdS black hole extended phase space
- Parametric phase transition for Gauss-Bonnet AdS black hole
- On Universal Constants of AdS Black Holes from Hawking-Page Phase Transition
- Phase Transition of Charged-AdS Black Holes and Quasinormal Modes : a Time Domain Analysis
- Thermodynamic phase transition of Euler-Heisenberg-AdS black hole on free energy landscape
- Criticality for charged black branes
- Phase transition and microstructures of five-dimensional charged Gauss-Bonnet-AdS black holes in the grand canonical ensemble
- criticality in the extended phase space of -dimensional RN-AdS black holes
- Maxwell's equal area law for Lovelock Thermodynamics
- Phase Transitions of Quintessential AdS Black Holes in M-theory/Superstring Inspired Models
- Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
- Entanglement Entropy and Phase Portrait of f(R)-AdS Black Holes in the Grand Canonical Ensemble
- Photon sphere and phase transition of -dimensional () charged Gauss-Bonnet AdS black holes
- On some phase equilibrium features of charged black holes in flat spacetime via Rényi statistics
- Novel equal area law and analytical charge-electric potential criticality for charged Anti-de Sitter black holes
- Microstructure and Continuous Phase Transition of the Gauss-Bonnet AdS Black Hole
- Analytic phase structures and thermodynamic curvature for the charged AdS black hole in alternative phase space
- Phase Transition of AdS Black hole in Massive Gravity Revisited via New Prescription
- Fingerprinting the fractional order phase transitions in AdS black holes
- A New Phase Transition Related to the Black Hole's Topological Charge
- On Hawking Radiation of 3D Rotating Hairy Black Holes