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.
Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
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abstract
Motivated by recent developments of black hole thermodynamics in de Rham, Gabadadze and Tolley(dRGT) massive gravity, we study the critical behaviors of four-dimensional topological Anti-de Sitter(AdS) black holes in the presence of Born-Infeld nonlinear electrodynamics by treating the cosmological constant as pressure and the corresponding conjugate quantity is interpreted as thermodynamic volume. It shows that besides the Van der Waals-like SBH/LBH phase transitions appears, the so-called reentrant phase transitions (RPTs) are also observed when the coupling coefficients $c_i m^2$ of massive potential and Born-Infeld parameter $b$ satisfy some certain conditions.
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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.