An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
5 Pith papers cite this work, alongside 347 external citations. Polarity classification is still indexing.
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abstract
Comparing with an ordinary thermodynamic system, we investigate the possible microscopic structure of a charged anti-de Sitter black hole completely from the thermodynamic viewpoint. The number density of the black hole molecules is introduced to measure the microscopic degrees of freedom of the black hole. We found that the number density suffers a sudden change accompanied by a latent heat when the black hole system crosses the small-large black hole coexistence curve, while when the system passes the critical point, it encounters a second-order phase transition with a vanishing latent heat due to the continuous change of the number density. Moreover, the thermodynamic scalar curvature suggests that there is a weak attractive interaction between two black hole molecules. These phenomena might cast new insight into the underlying microscopic structure of a charged anti-de Sitter black hole.
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An off-shell Hessian criterion H = S'_W(r_h) T'(r_h) governs thermodynamic stability of higher-curvature black holes, recovering the temperature-slope rule on physical branches and producing mean-field critical exponents.
Black hole thermodynamic criticality exhibits universal relaxation scaling and critical slowing down determined by local bifurcation structures.
Quintessence in RN-AdS black holes makes repulsive interactions dominate at high electric potentials while keeping interaction strength roughly constant across the phase transition.
Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.
citing papers explorer
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Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
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Off-shell Hessian thermodynamic stability of higher-curvature black holes
An off-shell Hessian criterion H = S'_W(r_h) T'(r_h) governs thermodynamic stability of higher-curvature black holes, recovering the temperature-slope rule on physical branches and producing mean-field critical exponents.
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Degenerate Bifurcations and Universal Relaxation Scaling in Black Hole Thermodynamics
Black hole thermodynamic criticality exhibits universal relaxation scaling and critical slowing down determined by local bifurcation structures.
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Criticality Quenching and Microstructure of Quintessence-AdS Black Holes
Quintessence in RN-AdS black holes makes repulsive interactions dominate at high electric potentials while keeping interaction strength roughly constant across the phase transition.
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Black hole chemistry: thermodynamics with Lambda
Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.