Average velocity and effective diffusion of a Brownian particle driven by a constant force over a static periodic potential
Analysis of PDEs
2007-05-23 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.math/0612328,
title = {Average velocity and effective diffusion of a Brownian particle driven by a constant force over a static periodic potential},
author = {Hongyun Wang},
journal= {arXiv preprint arXiv:math/0612328},
year = {2007}
}