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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 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.

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Author:Aleksei V. ChechkinORCiDGND, Irwin M. Zaid, Michael A. Lomholt, Igor M. Sokolov, Ralf MetzlerORCiDGND
ISSN:1539-3755 (print)
Parent Title (English):Physical review : E, Statistical, nonlinear and soft matter physics
Publisher:American Physical Society
Place of publication:College Park
Document Type:Article
Year of first Publication:2012
Year of Completion:2012
Release Date:2017/03/26
Funder:Academy of Finland within FiDiPro scheme
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert