Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
arXiv:1406.7015 · doi:10.1007/JHEP09(2014)080
Abstract
We investigate the effects of higher curvature corrections from Lovelock gravity on the phase structure of asymptotically AdS black holes, treating the cosmological constant as a thermodynamic pressure. We examine how various thermodynamic phenomena, such as Van der Waals behaviour, reentrant phase transitions (RPT), and tricritical points are manifest for U(1) charged black holes in Gauss-Bonnet and 3rd-order Lovelock gravities. We furthermore observe a new phenomenon of "multiple RPT" behaviour, in which for fixed pressure the small/large/small/large black hole phase transition occurs as the temperature of the system increases. We also find that when the higher-order Lovelock couplings are related in a particular way, a peculiar isolated critical point emerges for hyperbolic black holes and is characterized by non-standard critical exponents.
50 pages, 28 Figures v2: minor corrections, references added
References in corpus (22)
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- A Note on Thermodynamics of Black Holes in Lovelock Gravity
- Smarr Formula and an Extended First Law for Lovelock Gravity
- Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
- AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
- 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
- Critical phenomena of static charged AdS black holes in conformal gravity
- Universal regularization prescription for Lovelock AdS gravity
- Bose condensation and branes
- Causality and Hyperbolicity of Lovelock Theories
- Ehrenfest scheme for criticality of higher dimensional charged black holes, rotating black holes and Gauss-Bonnet AdS black holes
- Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
- Lovelock theories, holography and the fate of the viscosity bound
- Causal Structures in Gauss-Bonnet gravity
- Lovelock black holes with maximally symmetric horizons
- Vacuum energy and the latent heat of AdS-Kerr black holes
- Gauss-Bonnet Boson Stars with a Single Killing Vector
- Geometric Thermodynamics of Kerr-AdS black hole with a Cosmological Constant as State Variable
- Ehrenfest Scheme of Higher Dimensional Topological AdS Black Holes in The Third Order Lovelock-Born-Infeld Gravity
- Thermodynamic Volume of Kerr-bolt-AdS Spacetime
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- Superfluid Black Holes
- van der Waals like behaviour of topological AdS black holes in massive gravity
- Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
- Isolated critical point from Lovelock gravity
- Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in spacetime
- 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
- Van der Waals criticality in AdS black holes: a phenomenological study
- Thermodynamics of hairy black holes in Lovelock gravity
- Novel phase transition in charged dilaton black holes
- Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
- Higher Order Corrections to Holographic Black Hole Chemistry
- Phase transition and critical phenomena of black holes: A general approach
- Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
- Heat engine in the three-dimensional spacetime
- Peculiar criticality of topological Hořava-Lifshitz black holes
- Thermodynamics of topological black holes in gravity
- Geometry of criticality, supercriticality and Hawking-Page transitions in Gauss-Bonnet-AdS black holes
- The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
- Competing s-wave orders from Einstein-Gauss-Bonnet gravity
- Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble
- Thermodynamic Volume of Cosmological Solitons
- Critical points in Lovelock Black Holes