Closed Formula for Transport across Constrictions.
entropic barrier
porous materials
transport
Journal
Entropy (Basel, Switzerland)
ISSN: 1099-4300
Titre abrégé: Entropy (Basel)
Pays: Switzerland
ID NLM: 101243874
Informations de publication
Date de publication:
08 Mar 2023
08 Mar 2023
Historique:
received:
03
02
2023
revised:
01
03
2023
accepted:
05
03
2023
medline:
30
3
2023
entrez:
29
3
2023
pubmed:
30
3
2023
Statut:
epublish
Résumé
In the last decade, the Fick-Jacobs approximation has been exploited to capture transport across constrictions. Here, we review the derivation of the Fick-Jacobs equation with particular emphasis on its linear response regime. We show that, for fore-aft symmetric channels, the flux of noninteracting systems is fully captured by its linear response regime. For this case, we derive a very simple formula that captures the correct trends and can be exploited as a simple tool to design experiments or simulations. Lastly, we show that higher-order corrections in the flux may appear for nonsymmetric channels.
Identifiants
pubmed: 36981357
pii: e25030470
doi: 10.3390/e25030470
pmc: PMC10047801
pii:
doi:
Types de publication
Journal Article
Langues
eng
Subventions
Organisme : Deutsche Forschungsgemeinschaft
ID : Project-ID 416229255 - SFB 1411 and Project-ID 431791331 - SFB 1452
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