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arxiv: 1109.2433 · v2 · pith:TP27NCB2new · submitted 2011-09-12 · 🌀 gr-qc · hep-th

Thermodynamics of phase transition in higher dimensional AdS black holes

classification 🌀 gr-qc hep-th
keywords blackphasetransitiondimensionalheatholesmassspecific
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics

    gr-qc 2026-05 unverdicted novelty 5.0

    Tsallis entropy for RN black holes produces three thermodynamic branches with mean-field phase transitions whose signatures appear in photon-sphere optical observables.

  2. Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics

    gr-qc 2026-05 unverdicted novelty 4.0

    Tsallis statistics applied to Reissner-Nordström black holes yields a generalized entropy leading to Van der Waals-like phase transitions whose critical behavior is reflected in photon-sphere observables.