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Bulk-mediated surface diffusion on a cylinder in the fast exchange limit
- In various biological systems and small scale technological applications particles transiently bind to a cylindrical surface. Upon unbinding the particles diffuse in the vicinal bulk before rebinding to the surface. Such bulk-mediated excursions give rise to an effective surface translation, for which we here derive and discuss the dynamic equations, including additional surface diffusion. We discuss the time evolution of the number of surface-bound particles, the effective surface mean squared displacement, and the surface propagator. In particular, we observe sub- and superdiffusive regimes. A plateau of the surface mean-squared displacement reflects a stalling of the surface diffusion at longer times. Finally, the corresponding first passage problem for the cylindrical geometry is analysed.
Author details: | Aleksei ChechkinORCiDGND, I. M. Zaid, M. A. Lomholt, Igor M. SokolovORCiDGND, Ralf MetzlerORCiDGND |
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DOI: | https://doi.org/10.1051/mmnp/20138208 |
ISSN: | 0973-5348 |
Title of parent work (English): | Mathematical modelling of natural phenomena |
Publisher: | EDP Sciences |
Place of publishing: | Les Ulis |
Publication type: | Article |
Language: | English |
Year of first publication: | 2013 |
Publication year: | 2013 |
Release date: | 2017/03/26 |
Tag: | Bulk-mediated diffusion; Levy flights; anomalous diffusion; stochastic processes |
Volume: | 8 |
Issue: | 2 |
Number of pages: | 13 |
First page: | 114 |
Last Page: | 126 |
Funding institution: | Academy of Finland (FiDiPro scheme) |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Chemie |
Peer review: | Referiert |
External remark: | Zweitveröffentlichung in der Schriftenreihe Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 593 |