Black hole phase transitions in AdS spacetime show critical slowing down with relaxation time scaling as τ = |ε|^{-2/3}, and this exponent is the same for RN-AdS, Kerr-AdS, and Bardeen black holes.
Fan,Topological interpretation for phase transitions of black holes,Phys
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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.
Computes Weinhold thermodynamic geometry, rectangular heat engine efficiency, and topological charges for Sharma-Mittal corrected ModMax-dRGT black holes, showing parameter influences on efficiency and critical points.
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