Multiple reentrant phase transitions and triple points in Lovelock thermodynamics
By Antonia Micol Frassino, D. Kubizňák, Robert B. Mann, Fil Simovic. 2014
316 citations recorded by the source corpus.
A bstractWe 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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9ef747aff90d63e2e4a2da12135f9ac235702e04
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Citations in the corpus
- Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, background): “This approach has been extended to a very large variety of AdS black holes, and phenomena such as reentrant phase transitions, triple points, isolated critical points, and λ-line phase transitions have all been observed in different black hole systems [40–51].”
- Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, background): “Subsequently, other novel phenomena of phase transition and phase structure were observed [3–15], for a recent review, see Refs.”
- Holographic black hole chemistry (2015, unknown): “Despite this fact [3, 24, 25] still find generalized Smarr relations to be valid even when higher curvature couplings are included as long as one treats the coefficients of the extra curvature terms as independent couplings which can be varied as well.”
- Black hole chemistry: thermodynamics with Lambda (2016, background): “Recently it was shown [223] that conformal scalar hair gives rise to a one-parameter family of isolated critical points that occur under much more general conditions than in previous work [78, 82, 171], clarifying the relationship between isolated critical points and thermodynamically singular point”
- Holographic entanglement entropy and the extended phase structure of STU black holes (2015, background): “The extended phase space and associated thermodynamics have been studied for the RN-AdS solution, Taub-NUT-AdS, Taub-Bolt-AdS [26–28] and their cousins in higher derivative theories such as Gauss-Bonnet and Lovelock gravity [29–34].”