Effect of roughness on the transport of an overdamped Brownian particle

We study the transport of an overdamped Brownian particle in a tilted rough potential driven by a gaussian white noise.We conisder various forms of rough potentials to analyse the effect of roughness on the diffusion and current generated.The variation of current, diffusion coefficient, and peclet number with the static tilting force, amplitude of roughness and temperature were studied. We concluded that the roughness reduces the particle current at any range of temperature. But at low temperatures, it enhances the diffusion coeffeicient of the particle