Dynamics of chevron structure formation. II. Permeation-dominated phenomena

Citation
An. Shalaginov et al., Dynamics of chevron structure formation. II. Permeation-dominated phenomena, PHYS REV E, 60(4), 1999, pp. 4199-4209
Citations number
28
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
4
Year of publication
1999
Part
B
Pages
4199 - 4209
Database
ISI
SICI code
1063-651X(199910)60:4<4199:DOCSFI>2.0.ZU;2-V
Abstract
This paper continues a study of the dynamics of chevron formation in smecti c-A liquid crystals in samples with boundary conditions apparently favoring the bookshelf structure; with uniform layers perpendicular to the sample c ell plane. The chevron structure that arises when the sample is cooled resu lts from the mismatch between preferred bulk and surface layer thicknesses. In a previous paper we considered relaxation driven by the strong coupling between layer deformation and fluid flow. In this paper we discuss the alt ernative scenario in which boundary conditions suppress this coupling. Laye r deformation now occurs by layer relaxation in the absence of fluid flow. This process is extremely slow and is governed by the nonlinear Fisher-Kolm ogorov equation. Chevrons do form under some circumstances, but the process is irregular, and quasimetastable jagged multi-edged multi-tip-like struct ures can occur on intermediate time scales for suitable layer strains. In t he absence of surface layer pinning, layer slippage occurs at the surfaces. We also examine the possibility that deformation may occur through a wave of invasion destroying the bookshelf region. [S1063-651X(99)10509-9].