Lateral diffusion on a frozen random surface
Soft Condensed Matter
2020-10-06 v1
Abstract
The lateral diffusion coefficient of a Brownian particle on a two-dimensional random surface is studied in the quenched limit for which the surface configuration is time-independent. We start with the stochastic equation of motion for a Brownian particle on a fluctuating surface, which has been derived by Naji and Brown. The mean square displacement of the particle projected on a base plane is calculated exactly under the condition that the surface with a constant shape has no spatial correlation. We prove that the obtained lateral diffusion coefficient is in between the known upper and lower bounds.
Cite
@article{arxiv.2010.01271,
title = {Lateral diffusion on a frozen random surface},
author = {Takao Ohta and Shigeyuki Komura},
journal= {arXiv preprint arXiv:2010.01271},
year = {2020}
}