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arXiv · 2604.25791

Mean first passage time and the Kramers escape rate of phase transitions for the Bardeen-AdS-class black hole

Chen Ma·Bin Wu·Zhen-Ming Xu
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Abstract

In this study, by utilizing the constructed generalized free energy alongside the Mean First-Passage Time and the Kramers escape rate from stochastic dynamics, we have obtained a comprehensive landscape of the phase transitions for the Bardeen-AdS-class black hole. This black hole model admits two distinct categories of solutions. Type I black holes feature a regular black hole solution, and Type II black holes possess a vacuum state solution. In the phase transition between the small black hole and the large black hole for Type I, the process may pass through a stable, metastable, or unstable regular black hole as an intermediate state. In contrast, for Type II black holes, the phase transition occurs exclusively between the vacuum state and the small black hole, and the transition process does not involve any regular black hole intermediate states.

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Chen Ma, Bin Wu, Zhen-Ming Xu. 2026-04-28. Mean first passage time and the Kramers escape rate of phase transitions for the Bardeen-AdS-class black hole. https://arxiv.org/abs/2604.25791

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