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Specific Heats and Schottky Peaks for Black Holes in Extended Thermodynamics

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arxiv 1905.00539 v1 pith:FEPG6WHV submitted 2019-05-02 hep-th gr-qc

Clifford V. Johnson This is my paper · ORCID
classification hep-thgr-qc
keywords blackholesanaloguesdegreesextendedfreedommatterphase
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In the extended thermodynamics of black holes, there is a dynamical pressure and its conjugate volume. The phase structure of many of these black holes has been studied a great deal and shown to give close analogues of the phase structure of various ordinary matter systems. However, we point out that the most studied black holes in this framework, such as Schwarzschild-AdS and Reissner-Nordstrom-AdS, and various analogues in higher-derivative gravity, do not have the type of elementary degrees of freedom that play a central role in the classic models of matter. This is because they have vanishing specific heat at constant volume, C_V. As examples with non-vanishing C_V, the Kerr-AdS and STU-AdS black holes do have such degrees of freedom, and a study of C_V(T) reveals Schottky-like behaviour suggestive of a finite window of energy excitations. This intriguing physics may have useful applications in fields such as holographic duality, quantum information, and beyond.

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Cited by 2 Pith papers

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

  1. High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime

    hep-th 2025-07 conditional novelty 5.0 of 10

    The dual-horizon coexistence region in Euler-Heisenberg de Sitter spacetime exhibits van der Waals-like phase transitions whose order depends on a nonlinear parameter, with a constant topological number W=+1.

  2. Specific Heats for Rotating Quantum BTZ Black Holes in Extended Thermodynamics

    hep-th 2025-02 conditional novelty 5.0 of 10

    For the rotating quantum BTZ black hole, the paper derives path-dependent heat capacities at constant pressure and volume with multiple positive and negative branches.

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