The Mathematical Institute, University of Oxford, Eprints Archive

Excluded-volume effects in the diffusion of hard spheres

Bruna, M. and Chapman, S. J. (2010) Excluded-volume effects in the diffusion of hard spheres. Physical Review E . (Submitted)



Excluded-volume effects can play an important role in determining transport properties in diffusion of particles through crowded environments. Here, the diffusion of finite-sized hard-core interacting particles is considered systematically using the method of matched asymptotic expansions. The result is a nonlinear diffusion equation for the one-particle distribution function, with crowding effects enhancing the overall diffusion rate. Stochastic simulations of the full particle system are shown to compare well with the solution of this equation for two examples.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1158
Deposited By: Peter Hudston
Deposited On:14 May 2011 07:46
Last Modified:29 May 2015 18:51

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