Bluestein I, Kamien RD, Lubensky TC. Dislocation geometry in the TGB(A) phase: linear theory.
PHYSICAL REVIEW E 2001;
63:061702. [PMID:
11415118 DOI:
10.1103/physreve.63.061702]
[Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/17/2001] [Indexed: 11/07/2022]
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.
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