title: Dislocation geometry in the TGB(A) phase: linear theory.
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.
authors: Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
authors: I
authors: I
authors: Bluestein
authors: R D
authors: RD
authors: Kamien
authors: T C
authors: TC
authors: Lubensky