Adsorption and Permeation Events in Molecular Diffusion

How many times can a diffusing molecule permeate across a membrane or be adsorbed on a substrate? We employ an 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 illustrate...

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Main Author: Denis S. Grebenkov
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Molecules
Subjects:
Online Access:https://www.mdpi.com/1420-3049/29/21/5012
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author Denis S. Grebenkov
author_facet Denis S. Grebenkov
author_sort Denis S. Grebenkov
collection DOAJ
description How many times can a diffusing molecule permeate across a membrane or be adsorbed on a substrate? We employ an 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: a flat boundary and a spherical confinement. Some applications of these fundamental results are discussed.
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institution Kabale University
issn 1420-3049
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publishDate 2024-10-01
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series Molecules
spelling doaj-art-4a517b9b1adc4d1ea8fd2e5ad75232802024-11-08T14:38:03ZengMDPI AGMolecules1420-30492024-10-012921501210.3390/molecules29215012Adsorption and Permeation Events in Molecular DiffusionDenis S. Grebenkov0CNRS – Université de Montréal CRM—CNRS, 6128 Succ Centre-Ville, Montréal, QC H3C 3J7, CanadaHow many times can a diffusing molecule permeate across a membrane or be adsorbed on a substrate? We employ an 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: a flat boundary and a spherical confinement. Some applications of these fundamental results are discussed.https://www.mdpi.com/1420-3049/29/21/5012diffusionsurface reactionpermeationheterogeneous catalysisconfinementgeometric complexity
spellingShingle Denis S. Grebenkov
Adsorption and Permeation Events in Molecular Diffusion
Molecules
diffusion
surface reaction
permeation
heterogeneous catalysis
confinement
geometric complexity
title Adsorption and Permeation Events in Molecular Diffusion
title_full Adsorption and Permeation Events in Molecular Diffusion
title_fullStr Adsorption and Permeation Events in Molecular Diffusion
title_full_unstemmed Adsorption and Permeation Events in Molecular Diffusion
title_short Adsorption and Permeation Events in Molecular Diffusion
title_sort adsorption and permeation events in molecular diffusion
topic diffusion
surface reaction
permeation
heterogeneous catalysis
confinement
geometric complexity
url https://www.mdpi.com/1420-3049/29/21/5012
work_keys_str_mv AT denissgrebenkov adsorptionandpermeationeventsinmoleculardiffusion