Approximate time-dependent current-voltage relations for currents exceeding the diffusion limit
The time-dependent behavior of one-dimensional ion transport into a permselective medium is theoretically modeled in this work for currents exceeding the diffusion limit. Leveraging the findings of Yariv [E. Yariv, Phys. Rev. E 80, 051201 (2009)10.1103/PhysRevE.80.051201], we derive three separate expressions for the potential drop for short, intermediate, and long times. We show that the potential drop correlates to the time evolution of the space-charge layer adjacent to the permselective interface. Our approximate models show remarkable correspondence to numerical simulations.
Errataetall: |
ErratumIn: Phys Rev E. 2020 Dec;102(6-2):069901. - PMID 33466117 |
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Medienart: |
E-Artikel |
Erscheinungsjahr: |
2020 |
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Erschienen: |
2020 |
Enthalten in: |
Zur Gesamtaufnahme - volume:101 |
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Enthalten in: |
Physical review. E - 101(2020), 4-1 vom: 01. Apr., Seite 043113 |
Sprache: |
Englisch |
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Beteiligte Personen: |
Green, Yoav [VerfasserIn] |
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Anmerkungen: |
Date Revised 20.01.2021 published: Print ErratumIn: Phys Rev E. 2020 Dec;102(6-2):069901. - PMID 33466117 Citation Status PubMed-not-MEDLINE |
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doi: |
10.1103/PhysRevE.101.043113 |
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funding: |
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PPN (Katalog-ID): |
NLM310053447 |
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