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arXiv · 1109.2433

Thermodynamics of phase transition in higher dimensional AdS black holes

Rabin Banerjee·Dibakar Roychowdhury
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Abstract

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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Rabin Banerjee, Dibakar Roychowdhury. 2011-09-12. Thermodynamics of phase transition in higher dimensional AdS black holes. https://doi.org/10.1007/jhep11(2011)004

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