Dynamic behaviours of black hole phase transitions near quadruple points

Abstract

Treating the horizon radius as an order parameter in a thermal fluctuation, the free energy landscape model sheds light on the dynamic behaviour of black hole phase transitions. Here we carry out the first investigation of the dynamics of the recently discovered multicriticality in black holes. We specifically consider black hole quadruple points in D=4 Einstein gravity coupled to non-linear electrodynamics. We observe thermodynamic phase transitions between the four stable phases at a quadruple point as well as the weak and strong oscillatory phenomena by numerically solving the Smoluchowski equation describing the evolution of the probability distribution function. We analyze the dynamic evolution of the different phases at various ensemble temperatures and find that the probability distribution of a final stationary state is closely tied to the structure of its off-shell Gibbs free energy.

14 pages,11 figures

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Cited by in corpus (5)

• Black Hole Chemistry: the first 15 years
• Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble
• Universal thermodynamic topological classes of static black holes in Conformal Killing Gravity
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions