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.
Lyapunov exponents and phase transition of charged Ads black hole in quintessence
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Lyapunov exponents act as order parameters for first-order phase transitions in Horava-Lifshitz black holes with mean-field critical exponent 1/2, while chaos bounds are violated below a horizon-radius threshold even in stable phases.
Black hole thermodynamic classifications based on temperature-curve extrema, topological winding numbers, and complex Riemann-surface foliations are equivalent; all reduce to counting the extrema of the temperature function.
Lyapunov exponents of charged probes capture the same cusp and transition points in dilatonic RN-AdS phase structure across Einstein and string frames, even though the exponent values themselves depend on frame for massive particles.
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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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Phase Transitions and Chaos Bound in Horava Lifshitz Black Holes using Lyapunov Exponents
Lyapunov exponents act as order parameters for first-order phase transitions in Horava-Lifshitz black holes with mean-field critical exponent 1/2, while chaos bounds are violated below a horizon-radius threshold even in stable phases.
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Unifying topological, geometric, and complex classifications of black hole thermodynamics
Black hole thermodynamic classifications based on temperature-curve extrema, topological winding numbers, and complex Riemann-surface foliations are equivalent; all reduce to counting the extrema of the temperature function.
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Phase Transitions with Lyapunov Exponents under Einstein and String Frames in Dilatonic Reissner--Nordstr\"om--AdS Black Holes
Lyapunov exponents of charged probes capture the same cusp and transition points in dilatonic RN-AdS phase structure across Einstein and string frames, even though the exponent values themselves depend on frame for massive particles.