Thermal phase transitions of dimensionally continued AdS black holes

Abstract

We study the thermal phase transitions of charged black holes in dimensionally continued gravity in anti-de Sitter space. We find the van der Waals-like phase transition in the temperature-entropy plane of the black holes with spherical horizons in even dimensions, and there is no such phase transition of the black holes with flat and hyperbolic geometries. Near the critical inflection point, the critical exponent is computed and its value does not depend on the dimension. The Maxwell equal area law is checked to be fulfilled in the temperature-entropy diagram for the first order phase transition. In odd dimensions, there are no thermal phase transitions for the black hole with any geometry of the horizon.

arXiv comment18 pages, 2 figures; introduction extended, references added

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• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
• Circular orbit of a test particle and phase transition of a black hole
• $P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field
• Thermogeometric study of van der Waals like phase transition in black holes: an alternative approach
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• Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime
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• A New Phase Transition Related to the Black Hole's Topological Charge
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