Bulk-mediated diffusion on a planar surface: full solution.
We consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random-walk approach, we derive the diffusion equations for surface and bulk diffusion including the surface-bulk coupling. From these exact dynamic equat...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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2012
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| _version_ | 1797054523683897344 |
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| author | Chechkin, A Zaid, I Lomholt, M Sokolov, I Metzler, R |
| author_facet | Chechkin, A Zaid, I Lomholt, M Sokolov, I Metzler, R |
| author_sort | Chechkin, A |
| collection | OXFORD |
| description | We consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random-walk approach, we derive the diffusion equations for surface and bulk diffusion including the surface-bulk coupling. From these exact dynamic equations, we analytically obtain the propagator of the effective surface motion. This approach allows us to deduce a superdiffusive, Cauchy-type behavior on the surface, together with exact cutoffs limiting the Cauchy form. Moreover, we study the long-time dynamics for the surface motion. |
| first_indexed | 2024-03-06T18:58:23Z |
| format | Journal article |
| id | oxford-uuid:12ac9eb2-ab66-4f28-b913-e4044f9b3cf0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:58:23Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:12ac9eb2-ab66-4f28-b913-e4044f9b3cf02022-03-26T10:09:08ZBulk-mediated diffusion on a planar surface: full solution.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:12ac9eb2-ab66-4f28-b913-e4044f9b3cf0EnglishSymplectic Elements at Oxford2012Chechkin, AZaid, ILomholt, MSokolov, IMetzler, RWe consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random-walk approach, we derive the diffusion equations for surface and bulk diffusion including the surface-bulk coupling. From these exact dynamic equations, we analytically obtain the propagator of the effective surface motion. This approach allows us to deduce a superdiffusive, Cauchy-type behavior on the surface, together with exact cutoffs limiting the Cauchy form. Moreover, we study the long-time dynamics for the surface motion. |
| spellingShingle | Chechkin, A Zaid, I Lomholt, M Sokolov, I Metzler, R Bulk-mediated diffusion on a planar surface: full solution. |
| title | Bulk-mediated diffusion on a planar surface: full solution. |
| title_full | Bulk-mediated diffusion on a planar surface: full solution. |
| title_fullStr | Bulk-mediated diffusion on a planar surface: full solution. |
| title_full_unstemmed | Bulk-mediated diffusion on a planar surface: full solution. |
| title_short | Bulk-mediated diffusion on a planar surface: full solution. |
| title_sort | bulk mediated diffusion on a planar surface full solution |
| work_keys_str_mv | AT chechkina bulkmediateddiffusiononaplanarsurfacefullsolution AT zaidi bulkmediateddiffusiononaplanarsurfacefullsolution AT lomholtm bulkmediateddiffusiononaplanarsurfacefullsolution AT sokolovi bulkmediateddiffusiononaplanarsurfacefullsolution AT metzlerr bulkmediateddiffusiononaplanarsurfacefullsolution |