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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Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
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abstract
The physical properties of Reissner-Nordstrom black holes in (n+1)-dimensional anti-de Sitter spacetime are related, by a holographic map, to the physics of a class of n-dimensional field theories coupled to a background global current. Motivated by that fact, and the recent observations of the striking similarity between the thermodynamic phase structure of these black holes (in the canonical ensemble) and that of the van der Waals-Maxwell liquid-gas system, we explore the physics in more detail. We study fluctuations and stability within the equilibrium thermodynamics, examining the specific heats and electrical permittivity of the holes, and consider the analogue of the Clayperon equation at the phase boundaries. Consequently, we refine the phase diagrams in the canonical and grand canonical ensembles. We study the interesting physics in the neighbourhood of the critical point in the canonical ensemble. There is a second order phase transition found there, and that region is characterized by a Landau-Ginzburg model with A_3 potential. The holographically dual field theories provide the description of the microscopic degrees of freedom which underlie all of the thermodynamics, as can be seen by examining the form of the microscopic fluctuations.
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A first-order phase transition in the Berkooz-Brukner-Jia-Mamroud interpolating model causes chord number, Krylov complexity, and operator size to switch discontinuously from chaotic (linear/exponential) to quasi-integrable (quadratic) growth.
The signed first moment of winding numbers in a thermodynamic vector field, normalized by Davies scales, produces universal ratios C_S=2 and C_T=2/√3-1 in 4D, checked for multiple AdS black-hole families, with barrier B=1/3.
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citing papers explorer
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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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Black holes at a finite distance: Quasi-local restricted phase space formalism
Quasi-local restricted phase space for RN black holes adds pressure and area variables, producing isocharge temperature-entropy transitions and neutral Hawking-Page-like transitions absent in the asymptotic description.
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Thermodynamic Phase Transitions in Einstein-Maxwell-Scalar-Gauss-Bonnet Gravity
Scalarization in EMSGB gravity enables free-energy crossings between scalarized and Reissner-Nordström black holes, producing up to three phase transitions whose order changes with coupling strength.
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Probing the Chaos to Integrability Transition in Double-Scaled SYK
A first-order phase transition in the Berkooz-Brukner-Jia-Mamroud interpolating model causes chord number, Krylov complexity, and operator size to switch discontinuously from chaotic (linear/exponential) to quasi-integrable (quadratic) growth.
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Hawking--Page Universality, Thermodynamic Dipoles and Categorical Defects
The signed first moment of winding numbers in a thermodynamic vector field, normalized by Davies scales, produces universal ratios C_S=2 and C_T=2/√3-1 in 4D, checked for multiple AdS black-hole families, with barrier B=1/3.
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Off-shell Thermodynamics and Kinetics of Holographic CFTs Dual to Charged AdS Black Holes
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Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
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