The Mathematical Institute, University of Oxford, Eprints Archive

Diffusion of finite-size particles in confined geometries

Bruna, M. and Chapman, S. J. (2013) Diffusion of finite-size particles in confined geometries. Bulletin of Mathematical Biology . (Submitted)

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Abstract

The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle’s dimensions. The result is a nonlinear diffusion equation for the one-particle probability density function, with an overall collective diffusion that depends on both the excluded-volume and the narrow confinement. By including both these effects the equation is able to interpolate between severe confinement (for example, single-file diffusion) and unconfined diffusion. Numerical solutions of both the effective nonlinear diffusion equation and the stochastic particle system are presented and compared. As an application, the case of diffusion under a ratchet potential is considered, and the change in transport properties due to excluded-volume and confinement effects is examined.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1680
Deposited By: Peter Hudston
Deposited On:22 Feb 2013 13:37
Last Modified:29 May 2015 19:22

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