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| HAL : hal-00005684, version 1 |
| arXiv : cond-mat/0506736 |
| Fiche détaillée |  Récupérer au format |
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| Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 72 (2005) 031711 |
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| Topological transition in a two-dimensional model of liquid crystal |
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| Ana Fariñas-Sanchez 1Ricardo Paredes 1 |
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| (2005) |
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| Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an $O(2)$ vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P_4$. The system is studied through standard Finite-Size Scaling and conformal rescaling of density profiles of correlation functions. A topological transition between a paramagnetic phase at high temperature and a critical phase at low temperature is observed. The low temperature limit is discussed in the spin wave approximation and confirms the numerical results. |
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| 1 : | Instituto Venezolano de Investigaciones Cientificas (IVIC) |
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IVIC |
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| 2 : | Laboratoire de physique des matériaux (LPM) |
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CNRS : UMR7556 – Université Henri Poincaré - Nancy I – Institut National Polytechnique de Lorraine (INPL) |
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| Domaine | : | Physique/Matière Condensée/Mécanique statistique |
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| Liquid crystals – phase transitions |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00005684, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00005684 | |
| oai:hal.archives-ouvertes.fr:hal-00005684 | |
| Contributeur : Bertrand Berche | |
| Soumis le : Mardi 28 Juin 2005, 16:52:03 | |
| Dernière modification le : Jeudi 8 Décembre 2005, 09:23:55 | |
