Three classification schemes for black hole thermodynamics are equivalent, with the count of temperature extrema determining the class in each framework.
Xie and S.-J
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We investigate the relationship between thermodynamic phase transitions and the Lyapunov exponent of charged regular anti-de Sitter black holes in quasi-topological gravity. Our results show that the Lyapunov exponent displays oscillatory behavior during phase transitions. Moreover, along the coexistence curve the Lyapunov exponent changes discontinously and continuously at the critical point. Near the critical point, the Lyapunov exponent follows a power-law behavior with a critical exponent of 1/2, suggesting its role as an order parameter and encodes information on black hole phase transitions.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 3years
2026 3verdicts
UNVERDICTED 3roles
background 1polarities
background 1representative citing papers
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 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.
citing papers explorer
-
Unifying topological, geometric, and complex classifications of black hole thermodynamics
Three classification schemes for black hole thermodynamics are equivalent, with the count of temperature extrema determining the class in each framework.
-
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.
-
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.