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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100002In 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.Analysis of PDEsClassical Analysis and ODEs82C31Average velocity and effective diffusion of a Brownian particle driven by a constant force over a static periodic potentialtext