Thermodynamics of phase transition in higher dimensional AdS black holes

Details Thermodynamics of phase transition in higher dimensional AdS black holes Thermodynamics of phase transition in higher dimensional AdS black holes

2011-09-12

arxiv.org/abs/1109.2433v2

JHEP 11(2011)004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTex, 11 pages, 5 figures, To appear in JHEP

Scientific paper

We investigate the thermodynamics of phase transition for $ (n+1) $ dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase transition occurs from a lower mass black hole with negative specific heat to a higher mass black hole with positive specific heat. By exploring Ehrenfest's scheme we show that this is a second order phase transition. Explicit expressions for the critical temperature and critical mass are derived. In appropriate limits the results for $ (n+1) $ dimensional Schwarzschild AdS black holes are obtained.

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