Diffusion in Modulated Media

Abstract

We study the motion of Brownian particle in modulated media in the strong damping limit by using {\em toy model}, with special emphasis on the transition from localise to diffusive behavior. By using model potential we have seen the localised behavior when the number of minima of the potential is finite in the asymptotic time limit. In the limit of infinite number of minima we have seen the diffusive behavior.We calculate exactly the diffusion coefficient in periodic field of force. We have also studied the transport in commensurate and incommensurate media.