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Diffusion of a Brownian Particle in a Periodic Potential with Memory Friction
Department of Mathematics and Physics, North China Electric Power University, Baoding, China
Department of Mathematics and Physics, North China Electric Power University, Baoding, China
- 1 Department of Mathematics and Physics, North China Electric Power University, Baoding, China
- 2 Department of Mathematics and Physics, North China Electric Power University, Baoding, China
Journal of Modern Physics·Volume 13 (2022)·Pages 1204–1211·Published 12 August 2022·DOI10.4236/jmp.2022.138071
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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.
KeywordsEscape RateFinite BarrierMemory Friction
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