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Thermodynamics of phase transition in higher dimensional AdS black holes

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arxiv 1109.2433 v2 pith:TP27NCB2 submitted 2011-09-12 gr-qc hep-th

Rabin Banerjee , Dibakar Roychowdhury This is my paper · ORCID
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keywords blackphasetransitiondimensionalheatholesmassspecific
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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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  1. Aspects of the Black Hole Interior Volume and Entropy

    gr-qc 2025-09 unverdicted novelty 2.0 of 10

    A doctoral thesis compiles and reproduces prior semiclassical results claiming the interior scalar-mode entropy of black holes is proportional to horizon entropy with a coefficient less than one.

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