Diffusion of Finite-Size Particles in Confined Geometries

Maria Bruna, S. Jonathan Chapman

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


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. © 2013 Society for Mathematical Biology.
Original languageEnglish (US)
Pages (from-to)947-982
Number of pages36
JournalBulletin of Mathematical Biology
Issue number4
StatePublished - May 10 2013
Externally publishedYes


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