Average velocity and effective diffusion of a Brownian particle driven by a constant force over a static periodic potential

2006/12/12 by Hongyun Wang, Wang, Hongyun
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #82C31 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Diffusion and Search Dynamics #FOS: Mathematics #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.math/0612328

openalex publication_date 2006/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this manuscript, we consider the case where a Brownian particle is subject to a static periodic potential and is driven by a constant force. We derive analytic formulas for the average velocity and the effective diffusion.

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