Effect of roughness on the transport of an overdamped Brownian particle

TL;DR

This paper investigates how surface roughness affects the movement of an overdamped Brownian particle in a tilted potential, revealing that roughness generally reduces current but can enhance diffusion at low temperatures.

Contribution

It provides a detailed analysis of how different forms of rough potentials influence diffusion and current in overdamped Brownian motion, highlighting the impact of roughness.

Findings

Roughness reduces particle current across temperature ranges.

At low temperatures, roughness enhances the diffusion coefficient.

The study quantifies the relationship between roughness, temperature, and transport properties.

Abstract

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