Competition between local disordering and global ordering fields in nematic liquid crystals
We study the influence of external electric or magnetic field B on orientational ordering of nematic liquid crystals or of other rod-like objects (e.g. nanotubes immersed in a liquid) in the presence of random anisotropy field type of disorder. The Lebwohl–Lasher lattice type of semi-microscopic app...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Beilstein-Institut
2010-01-01
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| Series: | Beilstein Journal of Organic Chemistry |
| Subjects: | |
| Online Access: | https://doi.org/10.3762/bjoc.6.2 |
| _version_ | 1818657822454317056 |
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| author | Matej Cvetko Milan Ambrožič Samo Kralj |
| author_facet | Matej Cvetko Milan Ambrožič Samo Kralj |
| author_sort | Matej Cvetko |
| collection | DOAJ |
| description | We study the influence of external electric or magnetic field B on orientational ordering of nematic liquid crystals or of other rod-like objects (e.g. nanotubes immersed in a liquid) in the presence of random anisotropy field type of disorder. The Lebwohl–Lasher lattice type of semi-microscopic approach is used at zero temperature. Therefore, results are valid well below the transition into the isotropic phase. We calculate the correlation function of systems as a function of B, concentration p of impurities imposing random anisotropy field disorder, the disorder strength W and system dimensionality (2D and 3D systems). In order to probe memory effects we calculate correlation length ξ for random and homogeneous initial configurations. We determine the crossover fields Bc(p) separating roughly the ordered and disordered regime. Memory effects are apparent only in the latter case, i.e. for B < Bc.PACS numbers: 47.51.+a, 47.54.-r, 07.05.Tp, 61.30.-v |
| first_indexed | 2024-12-17T03:47:35Z |
| format | Article |
| id | doaj.art-6a2c3c6b5a8142c8bc35a581d6a427a2 |
| institution | Directory Open Access Journal |
| issn | 1860-5397 |
| language | English |
| last_indexed | 2024-12-17T03:47:35Z |
| publishDate | 2010-01-01 |
| publisher | Beilstein-Institut |
| record_format | Article |
| series | Beilstein Journal of Organic Chemistry |
| spelling | doaj.art-6a2c3c6b5a8142c8bc35a581d6a427a22022-12-21T22:04:51ZengBeilstein-InstitutBeilstein Journal of Organic Chemistry1860-53972010-01-0161210.3762/bjoc.6.21860-5397-6-2Competition between local disordering and global ordering fields in nematic liquid crystalsMatej Cvetko0Milan Ambrožič1Samo Kralj2Regional Development Agency Mura Ltd, Lendavska 5a, 9000 Murska Sobota, SloveniaLaboratory of Physics of Complex Systems, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, 2000 Maribor, SloveniaLaboratory of Physics of Complex Systems, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, 2000 Maribor, SloveniaWe study the influence of external electric or magnetic field B on orientational ordering of nematic liquid crystals or of other rod-like objects (e.g. nanotubes immersed in a liquid) in the presence of random anisotropy field type of disorder. The Lebwohl–Lasher lattice type of semi-microscopic approach is used at zero temperature. Therefore, results are valid well below the transition into the isotropic phase. We calculate the correlation function of systems as a function of B, concentration p of impurities imposing random anisotropy field disorder, the disorder strength W and system dimensionality (2D and 3D systems). In order to probe memory effects we calculate correlation length ξ for random and homogeneous initial configurations. We determine the crossover fields Bc(p) separating roughly the ordered and disordered regime. Memory effects are apparent only in the latter case, i.e. for B < Bc.PACS numbers: 47.51.+a, 47.54.-r, 07.05.Tp, 61.30.-vhttps://doi.org/10.3762/bjoc.6.2disorderImry-Ma theoremliquid crystalsmemory effectorientational order |
| spellingShingle | Matej Cvetko Milan Ambrožič Samo Kralj Competition between local disordering and global ordering fields in nematic liquid crystals Beilstein Journal of Organic Chemistry disorder Imry-Ma theorem liquid crystals memory effect orientational order |
| title | Competition between local disordering and global ordering fields in nematic liquid crystals |
| title_full | Competition between local disordering and global ordering fields in nematic liquid crystals |
| title_fullStr | Competition between local disordering and global ordering fields in nematic liquid crystals |
| title_full_unstemmed | Competition between local disordering and global ordering fields in nematic liquid crystals |
| title_short | Competition between local disordering and global ordering fields in nematic liquid crystals |
| title_sort | competition between local disordering and global ordering fields in nematic liquid crystals |
| topic | disorder Imry-Ma theorem liquid crystals memory effect orientational order |
| url | https://doi.org/10.3762/bjoc.6.2 |
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