Electrochemical impedance of electrodiffusion in charged medium under dc bias
© 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 char...
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Format: | Article |
Language: | English |
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American Physical Society (APS)
2021
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Online Access: | https://hdl.handle.net/1721.1/136459 |
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author | Song, Juhyun Khoo, Edwin Bazant, Martin Z |
author2 | Massachusetts Institute of Technology. Department of Chemical Engineering |
author_facet | Massachusetts Institute of Technology. Department of Chemical Engineering Song, Juhyun Khoo, Edwin Bazant, Martin Z |
author_sort | Song, Juhyun |
collection | MIT |
description | © 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. |
first_indexed | 2024-09-23T12:34:22Z |
format | Article |
id | mit-1721.1/136459 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T12:34:22Z |
publishDate | 2021 |
publisher | American Physical Society (APS) |
record_format | dspace |
spelling | mit-1721.1/1364592023-09-11T20:42:14Z Electrochemical impedance of electrodiffusion in charged medium under dc bias Song, Juhyun Khoo, Edwin Bazant, Martin Z Massachusetts Institute of Technology. Department of Chemical Engineering Massachusetts Institute of Technology. Department of Mathematics © 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. 2021-10-27T20:35:28Z 2021-10-27T20:35:28Z 2019 2021-06-07T16:19:59Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136459 en 10.1103/PHYSREVE.100.042204 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS |
spellingShingle | Song, Juhyun Khoo, Edwin Bazant, Martin Z Electrochemical impedance of electrodiffusion in charged medium under dc bias |
title | Electrochemical impedance of electrodiffusion in charged medium under dc bias |
title_full | Electrochemical impedance of electrodiffusion in charged medium under dc bias |
title_fullStr | Electrochemical impedance of electrodiffusion in charged medium under dc bias |
title_full_unstemmed | Electrochemical impedance of electrodiffusion in charged medium under dc bias |
title_short | Electrochemical impedance of electrodiffusion in charged medium under dc bias |
title_sort | electrochemical impedance of electrodiffusion in charged medium under dc bias |
url | https://hdl.handle.net/1721.1/136459 |
work_keys_str_mv | AT songjuhyun electrochemicalimpedanceofelectrodiffusioninchargedmediumunderdcbias AT khooedwin electrochemicalimpedanceofelectrodiffusioninchargedmediumunderdcbias AT bazantmartinz electrochemicalimpedanceofelectrodiffusioninchargedmediumunderdcbias |