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

Medienart:

E-Artikel

Erscheinungsjahr:

2020

Erschienen:

2020

Enthalten in:

Zur Gesamtaufnahme - volume:101

Enthalten in:

Physical review. E - 101(2020), 4-1 vom: 01. Apr., Seite 043113

Sprache:

Englisch

Beteiligte Personen:

Green, Yoav [VerfasserIn]

Links:

Volltext

Themen:

Journal Article

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

doi:

10.1103/PhysRevE.101.043113

funding:

Förderinstitution / Projekttitel:

PPN (Katalog-ID):

NLM310053447