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

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

2006-12-12

arxiv.org/abs/math/0612328v1

Mathematics

Analysis of PDEs

Scientific paper

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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