Effective zero-thickness model for a conductive membrane driven by an electric field
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Bazant_Effective zero.pdf
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Author(s)
Bazant, Martin Z.
Ziebert, Falko
Lacoste, David
Date Issued
March 2010
Journal
Physical Review E
Publisher
American Physical Society
Citation
Ziebert, Falko, Martin Z. Bazant and David Lacoste. "Effective zero-thickness model for a conductive membrane driven by an electric field." Physical Review E 81.3 (2010): 031912. © 2010 The American Physical Society
Version
Final published version
Abstract
The behavior of a conductive membrane in a static (dc) electric field is investigated theoretically. An effective zero-thickness model is constructed based on a Robin-type boundary condition for the electric potential at the membrane, originally developed for electrochemical systems. Within such a framework, corrections to the elastic moduli of the membrane are obtained, which arise from charge accumulation in the Debye layers due to capacitive effects and electric currents through the membrane and can lead to an undulation instability of the membrane. The fluid flow surrounding the membrane is also calculated, which clarifies issues regarding these flows sharing many similarities with flows produced by induced charge electro-osmosis (ICEO). Nonequilibrium steady states of the membrane and of the fluid can be effectively described by this method. It is both simpler, due to the zero thickness approximation which is widely used in the literature on fluid membranes, and more general than previous approaches. The predictions of this model are compared to recent experiments on supported membranes in an electric field.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
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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.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.81.031912
