The first passage problem for diffusion through a cylindrical pore with sticky walls

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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v2: 13 pages, 6 figures, substantial revisions

Scientific paper

We calculate the first passage time distribution for diffusion through a cylindrical pore with sticky walls. A particle diffusively explores the interior of the pore through a series of binding and unbinding events with the cylinder wall. Through a diagrammatic expansion we obtain first passage time statistics for the particle's exit from the pore. Connections between the model and nucleocytoplasmic transport in cells are discussed.

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