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.
Thermodynamics and kinetics of state switching for the asymptotically flat black hole in a cavity,
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Critical slowing down of black hole phase transition and universal dynamic scaling in AdS black holes
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.