Rate of the phase transition for a charged anti-de Sitter black hole

TL;DR

This paper investigates the detailed stochastic process of phase transitions between small and large charged anti-de Sitter black holes, revealing asymmetric features and dominance of the transition from small to large black holes.

Contribution

It introduces a stochastic process analysis of the first-order phase transition rate in charged AdS black holes, filling a gap in existing thermodynamic studies.

Findings

Phase transition exhibits serious asymmetry.

Transition from small to large black holes dominates.

Provides a detailed description of the transition process.

Abstract

Phase transition is a core content of black hole thermodynamics. This study adopted the Kramer's escape rate method for describing the Brownian motion of particles in an external field to investigate the intensity of the phase transition between small and large black hole states. Some existing studies mostly focused on the formal analysis of the thermodynamic phase transition of black holes, but they neglected the detailed description of the phase transition process. Our results show that the phase transition between small and large black holes for charged anti-de Sitter (AdS) black holes presents serious asymmetric features, and the overall process is dominated by the transition from a small black hole to a large black hole. This study filled a research gap of a stochastic process analysis on the issue of the first-order phase transition rate in the AdS black hole.