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.
18 pages, 4 figures, latex. References added and typos corrected. Minor changes. Final version accepted in European Physical Journal C
References in corpus (8)
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Smarr Formula and an Extended First Law for Lovelock Gravity
- Extended phase space thermodynamics for third order Lovelock black holes in diverse 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
- Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged 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
Cited by in corpus (11)
- Behavior of Quasinormal Modes and high dimension RN-AdS Black Hole phase transition
- Thermodynamics of hairy black holes in Lovelock gravity
- On Universal Constants of AdS Black Holes from Hawking-Page Phase Transition
- Thermodynamic phase transition of Euler-Heisenberg-AdS black hole on free energy landscape
- Phase transition and microstructures of five-dimensional charged Gauss-Bonnet-AdS black holes in the grand canonical ensemble
- Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
- 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
- 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