Diffusion of finite-size particles in confined geometries
The diffusion of finite-size hard-core interacting particles in two- or three- dimensional confined domains is considered in the limit that the confinement di- mensions become comparable to the particle's dimensions. The result is a nonlinear diffusion equation for the one-particle probability...
| Päätekijät: | , |
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| Aineistotyyppi: | Journal article |
| Kieli: | English |
| Julkaistu: |
Springer Science and Business Media, LLC
2013
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| _version_ | 1826285153109934080 |
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| author | Bruna, M Chapman, S |
| author_facet | Bruna, M Chapman, S |
| author_sort | Bruna, M |
| collection | OXFORD |
| description | The diffusion of finite-size hard-core interacting particles in two- or three- dimensional confined domains is considered in the limit that the confinement di- mensions 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 con- finement. By including both these effects, the equation is able to interpolate between severe confinement (for example, single-file diffusion) and unconfined diffusion. Nu- merical 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. |
| first_indexed | 2024-03-07T01:24:34Z |
| format | Journal article |
| id | oxford-uuid:91878493-d9c9-40ce-99d2-cab8c79b799a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:24:34Z |
| publishDate | 2013 |
| publisher | Springer Science and Business Media, LLC |
| record_format | dspace |
| spelling | oxford-uuid:91878493-d9c9-40ce-99d2-cab8c79b799a2022-03-26T23:19:20ZDiffusion of finite-size particles in confined geometriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:91878493-d9c9-40ce-99d2-cab8c79b799aEnglishSymplectic Elements at OxfordSpringer Science and Business Media, LLC2013Bruna, MChapman, SThe diffusion of finite-size hard-core interacting particles in two- or three- dimensional confined domains is considered in the limit that the confinement di- mensions 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 con- finement. By including both these effects, the equation is able to interpolate between severe confinement (for example, single-file diffusion) and unconfined diffusion. Nu- merical 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. |
| spellingShingle | Bruna, M Chapman, S Diffusion of finite-size particles in confined geometries |
| title | Diffusion of finite-size particles in confined geometries |
| title_full | Diffusion of finite-size particles in confined geometries |
| title_fullStr | Diffusion of finite-size particles in confined geometries |
| title_full_unstemmed | Diffusion of finite-size particles in confined geometries |
| title_short | Diffusion of finite-size particles in confined geometries |
| title_sort | diffusion of finite size particles in confined geometries |
| work_keys_str_mv | AT brunam diffusionoffinitesizeparticlesinconfinedgeometries AT chapmans diffusionoffinitesizeparticlesinconfinedgeometries |