Dislocation Geometry in the TGB-A Phase: Linear Theory

Preprint

17 January 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0101270

Abstract

We demonstrate that an arbitrary system of screw dislocations in a smectic-A liquid crystal may be consistently treated within harmonic elasticity theory, provided that the angles between dislocations are sufficiently small. Using this theory, we calculate the ground state configuration of the TGB-A phase. We obtain an estimate of the twist-grain-boundary spacing and screw dislocation spacing in a boundary in terms of the macroscopic parameters, in reasonable agreement with experimental results.

Keywords

DISLOCATION GEOMETRY
SCREW DISLOCATION
BOUNDARY SPACING
GRAIN BOUNDARY
LIQUID CRYSTAL
LINEAR THEORY
DISLOCATIONS
TGB A PHASE
TWIST

All Related Versions

Version 1, 2001-01-17, ArXiv
Published version: Physical Review E, 63 (6), 061702.

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