English

Adsorption and permeation events in molecular diffusion

Chemical Physics 2025-07-15 v1 Statistical Mechanics

Abstract

How many times a diffusing molecule can permeate across a membrane or be adsorbed on a substrate? We employ the encounter-based approach to find the statistics of adsorption or permeation events for molecular diffusion in a general confining medium. Various features of these statistics are illustrated for two practically relevant cases of a flat boundary and a spherical confinement. Some applications of these fundamental results are discussed.

Keywords

Cite

@article{arxiv.2410.03942,
  title  = {Adsorption and permeation events in molecular diffusion},
  author = {Denis S. Grebenkov},
  journal= {arXiv preprint arXiv:2410.03942},
  year   = {2025}
}
R2 v1 2026-06-28T19:09:25.792Z