Eur. Phys. J. B 4, 95-101 (1998)
https://doi.org/10.1007/s100510050355

The lamellar-disorder interface: one-dimensional modulated profiles

School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Ramat-Aviv 69978, Tel-Aviv, Israel

Corresponding author: ^a andelman@post.tau.ac.il

Received: 28 March 1997
Revised: 6 February 1998
Accepted: 16 February 1998
Published online: 15 July 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.