Reactive flux theory for finite potential barriers and memory friction

Meng Hu and Zhan-Wu Bai

Physica A: Statistical Mechanics and its Applications, 2022, vol. 606, issue C

Abstract: The reactive flux theory for finite barriers that we proposed in a previous work is generalized to memory friction. For an internal colored noise, the steady-state probability density dose not exist for some noise parameters, whose role can be replaced by an effective steady-state probability density. The theoretical method is illustrated by a Brownian particle moving in a metastable potential and subjected to an internal Ornstein–Uhlenbeck noise. The theoretical results agree well with the Langevin simulation results in the spatial diffusion regime until relatively low potential barrier heights. The Arrhenius law is examined at low barrier heights.

Keywords: Escape rate; Finite barrier correction; Fokker–Planck equation; Ornstein–Uhlenbeck noise (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:606:y:2022:i:c:s0378437122006719

DOI: 10.1016/j.physa.2022.128081

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