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Electrostatics of Curved Fluid Membranes: The Interplay of Direct Interactions and Fluctuations in Charged Lamellar Phase

Fogden, A; Ninham, Barry

Description

Our understanding of the Poisson-Boltzmann electrostatics of curved fluid monolayers and bilayers of ionic amphiphiles, and its status within the Helfrich bending-energy formulation, is reviewed and subsequently extended. The two limiting scenarios, namely excess salt (non-overlapping interfaces) and zero salt (counterions only) are briefly discussed to couch their generalization to intermediate screening. This general situation of arbitrary composition is treated first within the cylindrical...[Show more]

dc.contributor.authorFogden, A
dc.contributor.authorNinham, Barry
dc.date.accessioned2015-12-13T23:34:44Z
dc.identifier.issn0001-8686
dc.identifier.urihttp://hdl.handle.net/1885/93586
dc.description.abstractOur understanding of the Poisson-Boltzmann electrostatics of curved fluid monolayers and bilayers of ionic amphiphiles, and its status within the Helfrich bending-energy formulation, is reviewed and subsequently extended. The two limiting scenarios, namely excess salt (non-overlapping interfaces) and zero salt (counterions only) are briefly discussed to couch their generalization to intermediate screening. This general situation of arbitrary composition is treated first within the cylindrical and spherical cell models, to harmonic order in their curvatures, leading on to the geometry of undulating planar confinement, now harmonic in amplitude but covering the entire spectrum of wavelengths. The latter derivation extends previous results, and moreover, provides analytic expressions for the electrostatic free energy using theta function developments. This in turn supplies the Hamiltonian for the generalized harmonic theory of fluctuating lamellar phases with added salt. Finally, the statistical mechanical predictions for the area increase, and relative amplitudes, of bilayer thermal undulations are compared to existing light-scattering data from dilute lamellar phases doped with anionic surfactant.
dc.publisherElsevier
dc.sourceAdvances in Colloid and Interface Science
dc.subjectKeywords: Crystal microstructure; Electrostatics; Free energy; Functions; Harmonic analysis; Light scattering; Mathematical models; Monolayers; Salts; Spectrum analysis; Statistical mechanics; Surface active agents; Hamiltonian theory; Helfrich bending-energy model
dc.titleElectrostatics of Curved Fluid Membranes: The Interplay of Direct Interactions and Fluctuations in Charged Lamellar Phase
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume83
dc.date.issued1999
local.identifier.absfor020302 - Electrostatics and Electrodynamics
local.identifier.ariespublicationMigratedxPub24965
local.type.statusPublished Version
local.contributor.affiliationFogden, A, YKI Institute for Surface Chemistry
local.contributor.affiliationNinham, Barry, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage85
local.bibliographicCitation.lastpage110
local.identifier.doi10.1016/S0001-8686(99)00010-X
dc.date.updated2015-12-12T09:37:17Z
local.identifier.scopusID2-s2.0-0033350039
CollectionsANU Research Publications

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