20.500.12556/DKUM-66179 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 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. hysteresis loop liquid crystals lattice simulations mean field histerezna zanka tekoči kristali mrežne simulacije povprečno polje true true true Wiley Angleški jezik Slovenski jezik Znanstveno delo 2017-06-14 09:29:25 2017-06-14 09:31:51 2026-09-02 08:39:50 2019-07-11 14:58:30 2015 0 0 str. 1-10 Letn. 2015 2015 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2014-11-20 2015-01-28 2015-02-08 1687-8124 544.25 11863347 11869235 10.1155/2015/834867 1687-8124 URN:SI:UM:DK:GUC9QCPK Advances_in_Condensed_Matter_Physics_2015_Bucek,_Kralj,_Sluckin_Hysteresis_in_Two-Dimensional_Liquid_Crystal_Models.pdf Advances_in_Condensed_Matter_Physics_2015_Bucek,_Kralj,_Sluckin_Hysteresis_in_Two-Dimensional_Liquid_Crystal_Models.pdf 1 C6C3BAEDB5563946CA4BBAEE840961E4 2889463e48ea24aa7900e4aa53a3708c2da7faad1c7bab467453a2e0908073f3 3d1732cc-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=112481 http://www.hindawi.com/journals/acmp/2015/834867/ 1 https://dk.um.si/Dokument.php?lang=slv&id=112480 Fakulteta za naravoslovje in matematiko 0 0 0