New approach to phase transitions in black holes

Details New approach to phase transitions in black holes New approach to phase transitions in black holes

2011-01-12

arxiv.org/abs/1101.2318v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 4 figures, revtex-4

Scientific paper

We develop an analogy between fluids and black holes to study phase transitions in the latter. The entropy-temperature graph shows the onset of a phase transition without any latent heat. The nature of this continuous (higher order) phase transition is examined in details. We find that the second order derivatives of the free energy diverge at the critical temperature. Also, the transition is smeared instead of sharp, so that the usual Ehrenfest's scheme breaks down. A generalised version of this scheme is formulated which is shown to be consistent with the phase transition curves.

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