Bulk-mediated diffusion on a planar surface: full solution
Statistical Mechanics
2015-06-05 v1
Abstract
We consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random walk approach we derive the diffusion equations for surface and bulk diffusion including the surface-bulk coupling. From these exact dynamic equations we analytically obtain the propagator of the effective surface motion. This approach allows us to deduce a superdiffusive, Cauchy-type behavior on the surface, together with exact cutoffs limiting the Cauchy form. Moreover we study the long-time dynamics for the surface motion.
Cite
@article{arxiv.1205.2243,
title = {Bulk-mediated diffusion on a planar surface: full solution},
author = {Aleksei V. Chechkin and Irwin M. Zaid and Michael A. Lomholt and Igor M. Sokolov and Ralf Metzler},
journal= {arXiv preprint arXiv:1205.2243},
year = {2015}
}
Comments
12 pages, 1 figure