Electrochemical impedance of electrodiffusion in charged medium under dc bias
Name
PhysRevE.100.042204.pdf
Description
Published version
Size
1.03 MB
Format
Adobe PDF
Checksum (MD5)
29a74a05d1074584aa4c82f45a55651f
Author(s) • •
Song, Juhyun
Khoo, Edwin
Bazant, Martin Z
Date Issued
2019
Journal
Physical Review E
Publisher
American Physical Society (APS)
Version
Final published version
Abstract
© 2019 American Physical Society. An immobile charged species provides a charged medium for transport of charge carriers that is exploited in many applications, such as permselective membranes, doped semiconductors, biological ion channels, as well as porous media and microchannels with surface charges. In this paper, we theoretically study the electrochemical impedance of electrodiffusion in a charged medium by employing the Nernst-Planck equation and the electroneutrality condition with a background charge density. The impedance response is obtained under different dc bias conditions extending above the diffusion-limiting bias. We find a transition in the impedance behavior around the diffusion-limiting bias and present an analytical approximation for a weakly charged medium under an overlimiting bias.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1103/PHYSREVE.100.042204