The lamellar-disorder interface: one-dimensional modulated profiles |
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Authors: | S Villain-Guillot D Andelman |
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Institution: | (1) School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Ramat-Aviv 69978, Tel-Aviv, Israel, IL |
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Abstract: | We study interfacial behavior of a lamellar (stripe) phase coexisting with a disordered phase. Systematic analytical expansions
are obtained for the interfacial profile in the vicinity of a tricritical point. They are characterized by a wide interfacial
region involving a large number of lamellae. Our analytical results apply to systems with one dimensional symmetry in true
thermodynamical equilibrium and are of relevance to metastable interfaces between lamellar and disordered phases in two and
three dimensions. In addition, good agreement is found with numerical minimization schemes of the full free energy functional
having the same one dimensional symmetry. The interfacial energy for the lamellar to disordered transition is obtained in
accord with mean field scaling laws of tricritical points.
Received: 28 March 1997 / Revised: 6 February 1998 / Accepted: 16 February 1998 |
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Keywords: | PACS 68 10 Cr Surface energy (surface tension interface tension angle of contact etc ) - 64 60 Kw Multicritical points - 61 25 Hq Macromolecular and polymer solutions polymer melts swelling |
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