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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.

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Author:Aleksei V. ChechkinORCiDGND, I. M. Zaid, M. A. Lomholt, I. M. Sokolov, Ralf MetzlerORCiDGND
ISSN:0973-5348 (print)
Parent Title (English):Mathematical modelling of natural phenomena
Publisher:EDP Sciences
Place of publication:Les Ulis
Document Type:Article
Year of first Publication:2013
Year of Completion:2013
Release Date:2017/03/26
Tag:Bulk-mediated diffusion; Levy flights; anomalous diffusion; stochastic processes
First Page:114
Last Page:126
Funder:Academy of Finland (FiDiPro scheme)
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Chemie
Peer Review:Referiert
Notes extern:Zweitveröffentlichung in der Schriftenreihe Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 593