%0 Journal Article %T Average velocity and effective diffusion of a Brownian particle driven by a constant force over a static periodic potential %A Hongyun Wang %J Mathematics %D 2006 %I arXiv %X 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. %U http://arxiv.org/abs/math/0612328v1