Abstract
Excluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically using the method of matched asymptotic expansions. The result is a nonlinear diffusion equation for the one-particle distribution function, with excluded-volume effects enhancing the overall collective diffusion rate. An expression for the effective (collective) diffusion coefficient is obtained. Stochastic simulations of the full particle system are shown to compare well with the solution of this equation for two examples. © 2012 American Physical Society.
| Original language | English (US) |
|---|---|
| Journal | Physical Review E |
| Volume | 85 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 3 2012 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This publication was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). M. B. acknowledges financial support from EPSRC and the program "Partial Differential Equations in Kinetic Theories" at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK. The authors also thank Jose Antonio Carrillo for valuable discussions.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.