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has been cited by the following article:
TITLE: Diffusion of a Brownian Particle in a Periodic Potential with Memory Friction
AUTHORS: Meng Hu, Zhanwu Bai
KEYWORDS: Escape Rate, Finite Barrier, Memory Friction
JOURNAL NAME: Journal of Modern Physics, Vol.13 No.8, August 26, 2022
ABSTRACT: This study investigates the diffusive motion of a Brownian particle in a 1D periodic potential. The reactive flux theory for finite barriers and memory friction is developed to calculate the escape rate in the spatial diffusion regime. The diffusion coefficient is obtained in terms of the jump-model. The theoretical results agree well with the Langevin simulation results. The method can be generalized to other colored noises with Gaussian distribution.