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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.
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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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