Scaling theory of mixed amphiphilic monolayers |
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Authors: | Shigeyuki Komura SA Safran |
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Institution: | (1) Department of Chemistry, Faculty of Science, Tokyo Metropolitan University, Tokyo 192-0397, Japan, JP;(2) Department of Materials and Interfaces, Weizmann Institute of Science, Rehovot 76100, Israel, IL |
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Abstract: | We predict the elastic properties of mixed amphiphilic monolayers in the swollen state within the blob model using scaling
arguments. First the elastic moduli and the spontaneous curvature of a bimodal brush are determined as a function of the composition
and the relative chain length. We obtain simple and useful scaling functions which interpolate between the elastic moduli
of a pure short-chain brush and a pure long-chain brush. By using the analogy between block copolymer interfaces and polymeric
brushes, the effect of mixing on self-assembled diblock copolymer monolayers is investigated in the swollen state. We calculate
various interfacial properties, such as the equilibrium surface coverage, interface curvature, and the mixing free energy
as a function of the composition. In general, we find a nonlinear dependence on the composition, which deviates from the simple
linear averaging of the properties of pure components. Our results are used to discuss a recent experiment on the effect of
amphiphilic block copolymers on the efficiency of microemulsions.
Received 29 December 2000 and Received in final form 19 March 2001 |
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Keywords: | PACS 36 20 -r Macromolecules and polymer molecules – 68 05 -n Liquid-liquid interfaces – 82 70 -y Disperse systems complex fluids |
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