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Hysteresis in two-dimensional liquid crystal models

Hysteresis in two-dimensional liquid crystal models
Hysteresis in two-dimensional liquid crystal models

We make a numerical study of hysteresis loop shapes within a generalized two-dimensional Random Anisotropy Nematic (RAN) model at zero temperature. The hysteresis loops appear on cycling a static external ordering field. Ordering in these systems is history dependent and involves interplay between the internal coupling constant J, the anisotropy random field D, and the ordering external field H. Here the external field is represented by a traceless tensor, analogous to extension-type fields in continuum mechanics. The calculations use both a mean field approach and full lattice simulations. Our analysis suggests the existence of two qualitatively different solutions, which we denote as symmetric and symmetry breaking. For the set of parameters explored, only the symmetric solutions are stable. Both approaches yield qualitatively similar hysteresis curves, which are manifested either by single or double loops. But the quantitative differences indicate that mean field estimates are only of limited predictive value.

1687-8108
Buček, Slavko
eec28e8e-3763-4b3e-b741-cd02a7b7cf0e
Kralj, Samo
5853f541-91f7-4ecd-b897-8871b825ef40
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Buček, Slavko
eec28e8e-3763-4b3e-b741-cd02a7b7cf0e
Kralj, Samo
5853f541-91f7-4ecd-b897-8871b825ef40
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6

Buček, Slavko, Kralj, Samo and Sluckin, T.J. (2015) Hysteresis in two-dimensional liquid crystal models. Advances in Condensed Matter Physics, 2015. (doi:10.1155/2015/834867).

Record type: Article

Abstract

We make a numerical study of hysteresis loop shapes within a generalized two-dimensional Random Anisotropy Nematic (RAN) model at zero temperature. The hysteresis loops appear on cycling a static external ordering field. Ordering in these systems is history dependent and involves interplay between the internal coupling constant J, the anisotropy random field D, and the ordering external field H. Here the external field is represented by a traceless tensor, analogous to extension-type fields in continuum mechanics. The calculations use both a mean field approach and full lattice simulations. Our analysis suggests the existence of two qualitatively different solutions, which we denote as symmetric and symmetry breaking. For the set of parameters explored, only the symmetric solutions are stable. Both approaches yield qualitatively similar hysteresis curves, which are manifested either by single or double loops. But the quantitative differences indicate that mean field estimates are only of limited predictive value.

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More information

Accepted/In Press date: 8 February 2015
e-pub ahead of print date: 23 February 2015

Identifiers

Local EPrints ID: 418553
URI: https://eprints.soton.ac.uk/id/eprint/418553
ISSN: 1687-8108
PURE UUID: dffcefeb-99d9-4e9a-a054-0a29e8c5a05d
ORCID for T.J. Sluckin: ORCID iD orcid.org/0000-0002-9163-0061

Catalogue record

Date deposited: 12 Mar 2018 17:30
Last modified: 20 Jul 2019 01:29

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