title: Bulk-mediated diffusion on a planar surface: full solution.
abstract: 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.
authors.affiliation: Institute for Theoretical Physics NSC KIPT, Akademicheskaya st. 1, 61108 Kharkov, Ukraine.
authors.forename: Aleksei V
authors.initials: AV
authors.lastname: Chechkin
authors.forename: Irwin M
authors.initials: IM
authors.lastname: Zaid
authors.forename: Michael A
authors.initials: MA
authors.lastname: Lomholt
authors.forename: Igor M
authors.initials: IM
authors.lastname: Sokolov
authors.forename: Ralf
authors.initials: R
authors.lastname: Metzler
mesh_terms: D000465:Algorithms; D001703:Biophysics / Q000379:methods*; D001704:Biopolymers / Q000737:chemistry* / Q000502:physiology; D004058:Diffusion; D005583:Fourier Analysis; D009682:Magnetic Resonance Spectroscopy / Q000379:methods; D008956:Models, Chemical; D015233:Models, Statistical; D009038:Motion; D012996:Solutions; D013499:Surface Properties
chemical_list: D001704:Biopolymers; D012996:Solutions