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Beyond the harmonic bending theory of ionic surfactant interfaces
YKI – Ytkemiska institutet.
1998 (English)In: Phys Rev E, ISSN 2470-0053 , Vol. 57, 5694-5706 p.Article in journal (Refereed)
Abstract [en]

There is now a broad understanding of how electrostatics, described by the nonlinear Poisson-Boltzmann equation, contributes to the phenomenological coupling (bending) constants of the flexible surface model as applied to ionic surfactant interfaces when the curvature energy density is truncated at harmonic order. Here, we extend this to the constants associated with anharmonic terms, specifically at third order in the interfacial curvatures, using model aggregates of spherical and cylindrical geometry. We analyze in detail the two limits of excess added salt and counterions only, and also provide a simple construction for bridging these two extremes using the theory of theta functions. Further, we investigate the asymptotic nature of the curvature expansion for ionic membranes, showing that it progressively deteriorates as the aggregate curvature is increased, and offer an alternative approximation scheme for the full free energy, using the method of Pade approximants.

Place, publisher, year, edition, pages
1998. Vol. 57, 5694-5706 p.
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:ri:diva-27375OAI: oai:DiVA.org:ri-27375DiVA: diva2:1054379
Note
A1186Available from: 2016-12-08 Created: 2016-12-08Bibliographically approved

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