Adsorption and permeation events in molecular diffusion
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.
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