New type of phase transition in Reissner Nordström - AdS black hole and its thermodynamic geometry

Details New type of phase transition in Reissner Nordström - AdS black hole and its thermodynamic geometry New type of phase transition in Reissner Nordström - AdS black hole and its thermodynamic geometry

2010-08-16

arxiv.org/abs/1008.2644v2

Phys.Lett.B696:156-162,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Major revisions in Sec. 3. New results and interpretations. 2 new references. To appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2010.12.010

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.

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