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 t...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Condensed Matter Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/834867 |
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| author | Slavko Buček Samo Kralj T. J. Sluckin |
| author_facet | Slavko Buček Samo Kralj T. J. Sluckin |
| author_sort | Slavko Buček |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d246cabaa9bc4f75938637d729d2b6de |
| institution | OA Journals |
| issn | 1687-8108 1687-8124 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Condensed Matter Physics |
| spelling | doaj-art-d246cabaa9bc4f75938637d729d2b6de2025-08-20T02:19:43ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242015-01-01201510.1155/2015/834867834867Hysteresis in Two-Dimensional Liquid Crystal ModelsSlavko Buček0Samo Kralj1T. J. Sluckin2Osnovna šola I Murska Sobota, Štefana Kovača 32, Sl-9000 Murska Sobota, SloveniaFaculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, Sl-2000 Maribor, SloveniaDivision of Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, UKWe 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.http://dx.doi.org/10.1155/2015/834867 |
| spellingShingle | Slavko Buček Samo Kralj T. J. Sluckin Hysteresis in Two-Dimensional Liquid Crystal Models Advances in Condensed Matter Physics |
| title | Hysteresis in Two-Dimensional Liquid Crystal Models |
| title_full | Hysteresis in Two-Dimensional Liquid Crystal Models |
| title_fullStr | Hysteresis in Two-Dimensional Liquid Crystal Models |
| title_full_unstemmed | Hysteresis in Two-Dimensional Liquid Crystal Models |
| title_short | Hysteresis in Two-Dimensional Liquid Crystal Models |
| title_sort | hysteresis in two dimensional liquid crystal models |
| url | http://dx.doi.org/10.1155/2015/834867 |
| work_keys_str_mv | AT slavkobucek hysteresisintwodimensionalliquidcrystalmodels AT samokralj hysteresisintwodimensionalliquidcrystalmodels AT tjsluckin hysteresisintwodimensionalliquidcrystalmodels |