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arxiv: 1406.7015 · v2 · pith:BRDVZP7Unew · submitted 2014-06-26 · ✦ hep-th · gr-qc

Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics

Antonia M. Frassino , David Kubiznak , Robert B. Mann , Fil Simovic This is my paper
classification ✦ hep-th gr-qc
keywords blacklovelockphaseholesbehaviourcriticallargemultiple
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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.

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