Bulk-mediated surface diffusion on a cylinder: propagators and crossovers

Details Bulk-mediated surface diffusion on a cylinder: propagators and crossovers Bulk-mediated surface diffusion on a cylinder: propagators and crossovers

2008-12-18

arxiv.org/abs/0812.3627v1

Physics

Condensed Matter

Statistical Mechanics

4 pages REVTeX4, 2 figures

Scientific paper

We consider the effective surface motion of a particle that freely diffuses in the bulk and intermittently binds to that surface. From an exact approach we derive various regimes of the effective surface motion characterized by physical rates for binding/unbinding and the bulk diffusivity. We obtain a transient regime of superdiffusion and, in particular, a saturation regime characteristic for the cylindrical geometry. This saturation, however, in a finite system is not terminal but eventually turns over to normal surface diffusion. The first passage behavior of particles to the cylinder surface is derived. Consequences for actual systems are discussed.

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