  
|
     
|
The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 4 Issue 1 (1998) pp 95-101
The lamellar-disorder interface: one-dimensional modulated profiles
S. Villain-Guillot (a), D. Andelman (b)
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Ramat-Aviv 69978, Tel-Aviv, Israel
Received: 28 March 1997 / Revised: 6 February 1998 / Accepted: 16 February 1998
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.
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
(a) Permanent address: Laboratoire de Physique théorique et modélisation, Université de Cergy-Pontoise, 95302 Cergy-Pontoise Cedex, France.
(b) email: andelman@post.tau.ac.il
Article in PDF-Format (328 KB)
Online publication: July 27, 1998
LINK Helpdesk
© EDP Sciences, Springer-Verlag 1998