New type of phase transition in Reissner Nordström–AdS black hole and its thermodynamic geometry
By R. Banerjee, Sumit Ghosh, D. Roychowdhury. 2010
142 citations recorded by the source corpus.
Abstract The phase transition of a RN–AdS black hole is studied in details using Ehrenfest's equations. There is no discontinuity in entropy which signals a lack of any first order phase transition. We then show that although Ehrenfest's first equation is satisfied, the second is not, so that a true second order phase transition is also ruled out. However this deviation from the second Ehrenfest's equation, for a certain range of the black hole charge, indicates the existence of a new glassy type transition. We finally study the thermodynamic behaviour using state space geometry and find that the scalar curvature diverges exactly at those points where the heat capacity diverges.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/89c702173bec0edd90caf666138a150e23ae94b8
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In Astronomy and Astrophysics
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Citations in the corpus
- On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes (2013, unknown): “The studies[19, 20, 21, 22, 23, 24, 25, 26] on the phase transition and critical phenomena of black holes in AdS spacetime indicate the black holes are similar to the van der Waals vapor-liquid system.”
- Extended phase space thermodynamics for third-order Lovelock black holes in diverse dimensions (2014, unknown): “See [33–36] for some other related works.”
- Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization (2012, result): “The critical exponents were recently calculated in [31–34].”