Type
ArticleAuthors
Bruna, MariaChapman, S. Jonathan
KAUST Grant Number
KUK-C1-013-04Date
2013-05-10Online Publication Date
2013-05-10Print Publication Date
2014-04Permanent link to this record
http://hdl.handle.net/10754/597712
Metadata
Show full item recordAbstract
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.Citation
Bruna M, Chapman SJ (2013) Diffusion of Finite-Size Particles in Confined Geometries. Bull Math Biol 76: 947–982. Available: http://dx.doi.org/10.1007/s11538-013-9847-0.Sponsors
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). MB acknowledges financial support from EPSRC. We are grateful to the organizers of the workshop "Stochastic Modelling of Reaction-Diffusion Processes in Biology," which has led to this Special Issue.Publisher
Springer NatureJournal
Bulletin of Mathematical BiologyPubMed ID
23660951ae974a485f413a2113503eed53cd6c53
10.1007/s11538-013-9847-0
Scopus Count
Collections
Publications Acknowledging KAUST SupportRelated articles
- Excluded-volume effects in the diffusion of hard spheres.
- Authors: Bruna M, Chapman SJ
- Issue date: 2012 Jan
- Transition from single-file to two-dimensional diffusion of interacting particles in a quasi-one-dimensional channel.
- Authors: Lucena D, Tkachenko DV, Nelissen K, Misko VR, Ferreira WP, Farias GA, Peeters FM
- Issue date: 2012 Mar
- Stochastic transport of interacting particles in periodically driven ratchets.
- Authors: Savel'ev S, Marchesoni F, Nori F
- Issue date: 2004 Dec
- Diffusion of multiple species with excluded-volume effects.
- Authors: Bruna M, Chapman SJ
- Issue date: 2012 Nov 28
- Diffusion of finite-sized hard-core interacting particles in a one-dimensional box: Tagged particle dynamics.
- Authors: Lizana L, Ambjörnsson T
- Issue date: 2009 Nov