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Annihilation of edge dislocations in smectic A liquid crystals

Annihilation of edge dislocations in smectic A liquid crystals
Annihilation of edge dislocations in smectic A liquid crystals
This paper presents a theoretical study of the annihilation of edge dislocations in the same smectic plane in a bulk smectic-A phase. We use a time-dependent Landau-Ginzburg approach where the smectic ordering is described by the complex order parameter psi( r--> ,t) =eta e(iphi) . This quantity allows both the degree of layering and the position of the layers to be monitored. We are able to follow both precollision and postcollision regimes, and distinguish different early and late behaviors within these regimes. The early precollision regime is driven by changes in the phi ( r--> ) configuration. The relative velocity of the defects is approximately inversely proportional to the interdefect separation distance. In the late precollision regime the symmetry changes within the cores of defects also become influential. Following the defect collision, in the early postcollision stage, bulk layer order is approached exponentially in time. At very late times, however, there seems to be a long-time power-law tail in the order parameter fluctuation relaxation.
1539-3755
051704-[12pp]
Ambrozic, M.
631d5403-e808-44e1-9693-e782dca52ac7
Kralj, S.
638e12ae-6365-443a-9a98-6039859df897
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Zumer, S.
cbb96b95-ff71-4da8-8752-9121913e3e50
Svensek, D.
b9f63468-00b5-498f-8977-055a1f66511d
Ambrozic, M.
631d5403-e808-44e1-9693-e782dca52ac7
Kralj, S.
638e12ae-6365-443a-9a98-6039859df897
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Zumer, S.
cbb96b95-ff71-4da8-8752-9121913e3e50
Svensek, D.
b9f63468-00b5-498f-8977-055a1f66511d

Ambrozic, M., Kralj, S., Sluckin, T.J., Zumer, S. and Svensek, D. (2004) Annihilation of edge dislocations in smectic A liquid crystals. Physical Review E, 70 (5), 051704-[12pp]. (doi:10.1103/PhysRevE.70.051704).

Record type: Article

Abstract

This paper presents a theoretical study of the annihilation of edge dislocations in the same smectic plane in a bulk smectic-A phase. We use a time-dependent Landau-Ginzburg approach where the smectic ordering is described by the complex order parameter psi( r--> ,t) =eta e(iphi) . This quantity allows both the degree of layering and the position of the layers to be monitored. We are able to follow both precollision and postcollision regimes, and distinguish different early and late behaviors within these regimes. The early precollision regime is driven by changes in the phi ( r--> ) configuration. The relative velocity of the defects is approximately inversely proportional to the interdefect separation distance. In the late precollision regime the symmetry changes within the cores of defects also become influential. Following the defect collision, in the early postcollision stage, bulk layer order is approached exponentially in time. At very late times, however, there seems to be a long-time power-law tail in the order parameter fluctuation relaxation.

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Published date: 17 November 2004

Identifiers

Local EPrints ID: 39252
URI: https://eprints.soton.ac.uk/id/eprint/39252
ISSN: 1539-3755
PURE UUID: d3b4c51c-2f72-4cca-a491-dd17d7335c82
ORCID for T.J. Sluckin: ORCID iD orcid.org/0000-0002-9163-0061

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Date deposited: 23 Jun 2006
Last modified: 06 Jun 2018 13:20

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