English

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

Soft Condensed Matter 2009-09-30 v2 Statistical Mechanics

Abstract

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.

Keywords

Cite

@article{arxiv.0905.4872,
  title  = {The first passage problem for diffusion through a cylindrical pore with sticky walls},
  author = {Nicholas A. Licata and Stephan W. Grill},
  journal= {arXiv preprint arXiv:0905.4872},
  year   = {2009}
}

Comments

v2: 13 pages, 6 figures, substantial revisions

R2 v1 2026-06-21T13:07:37.394Z