| Title: | Hysteresis in two-dimensional liquid crystal models |
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| Authors: | ID Buček, Slavko (Author)
ID Kralj, Samo (Author)
ID Sluckin, T. J. (Author) |
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| Files: |  Advances_in_Condensed_Matter_Physics_2015_Bucek,_Kralj,_Sluckin_Hysteresis_in_Two-Dimensional_Liquid_Crystal_Models.pdf (1,41 MB)
MD5: C6C3BAEDB5563946CA4BBAEE840961E4
 http://www.hindawi.com/journals/acmp/2015/834867/
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| 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 the 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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| Keywords: | hysteresis loop, liquid crystals, lattice simulations, mean field |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2015 |
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| Number of pages: | str. 1-10 |
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| Numbering: | Letn. 2015 |
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| PID: | 20.500.12556/DKUM-66179  |
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| ISSN: | 1687-8124 |
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| UDC: | 544.25 |
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| ISSN on article: | 1687-8124 |
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| COBISS.SI-ID: | 11869235 |
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| DOI: | 10.1155/2015/834867 |
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| NUK URN: | URN:SI:UM:DK:GUC9QCPK |
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| Publication date in DKUM: | 14.06.2017 |
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| Views: | 1513 |
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| Downloads: | 401 |
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| Metadata: |    |
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| Categories: | Misc.
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