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Electromechanics of
polarized lipid bilayers
David J. Steigmann and Ashutosh Agrawal
Vol. 4 (2016), No. 1, 31–54
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Abstract |
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A model for the electromechanics of lipid bilayers, accounting for flexoelectricity, is obtained as the thin-film limit of the continuum electrodynamics of nematic liquid crystals. A priori restrictions on the polarization field consistent with minimum energy considerations effectively decouple the leading-order membrane problem from the computation of the self field, yielding a substantial simplification vis a vis the three-dimensional theory. Examples illustrate the strong interplay between the electric field and membrane geometry. |
Keywords
electromechanics, lipid membranes
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Mathematical Subject Classification 2010
Primary: 74P10
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Milestones
Received: 19 June 2015
Revised: 13 November 2015
Accepted: 14 December 2015
Published: 11 March 2016
Communicated by Francesco dell'Isola
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Authors |
| David J. Steigmann | |
| Department of Mechanical
Engineering University of California 6189 Etcheverry Hall No. 1740 Berkeley, CA 94720-1740 United States |
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| Ashutosh Agrawal | |
| Department of Mechanical
Engineering University of Houston Houston, TX 77204 United States |
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