Malgaretti P, Harting J (2023)
Publication Type: Journal article
Publication year: 2023
Book Volume: 25
Journal Issue: 3
DOI: 10.3390/e25030470
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.
APA:
Malgaretti, P., & Harting, J. (2023). Closed Formula for Transport across Constrictions. Entropy, 25(3). https://doi.org/10.3390/e25030470
MLA:
Malgaretti, Paolo, and Jens Harting. "Closed Formula for Transport across Constrictions." Entropy 25.3 (2023).
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