The effective motion, along a cylinder, of a particle that freely diffused in the bulk and intermittently bonded to the cylinder was considered. Using an exact approach, the various regimes of effective motion along the cylinder were derived, as characterized by the physical rates for binding/unbinding and the bulk diffusivity. A transient regime of super-diffusion was obtained, as well as a saturation regime which was characteristic of the cylindrical geometry. This saturation, in a finite system, was not terminal but eventually returned to normal diffusion along the cylinder. The first-passage behaviour of particles to the cylinder surface was derived.

Bulk-Mediated Surface Diffusion along a Cylinder - Propagators and Crossovers. A.V.Chechkin, I.M.Zaid, M.A.Lomholt, I.M.Sokolov, R.Metzler: Physical Review E, 2009, 79[4], 040105