Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
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.
Cite
@article{arxiv.1406.7015,
title = {Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics},
author = {Antonia M. Frassino and David Kubiznak and Robert B. Mann and Fil Simovic},
journal= {arXiv preprint arXiv:1406.7015},
year = {2015}
}
Comments
50 pages, 28 Figures v2: minor corrections, references added