No quasi-long-range order in the two-dimensional liquid crystal
| dc.creator | Paredes, Ricardo | |
| dc.creator | Fariñas-Sánchez, Ana-Isabel | |
| dc.creator | Botet, Robert | |
| dc.date | 2008-08-22 | |
| dc.date.accessioned | 2026-07-07T09:57:57Z | |
| dc.date.available | 2026-07-07T09:57:57Z | |
| dc.description | Systems with global symmetry group O(2) experience topological transition in the 2-dimensional space. But there is controversy about such a transition for systems with global symmetry group O(3). In this paper, we study the Lebwohl-Lasher model for the two-dimensional liquid crystal, using three different methods independent of the proper values of possible critical exponents. Namely, we analyze the at-equilibrium order parameter distribution function with: 1) the hyperscaling relation; 2) the first scaling collapse for the probability distribution function;and 3) the Binder's cumulant. We give strong evidences for definite lack of a line of critical points at low temperatures in the Lebwohl-Lasher model, contrary to conclusions of a number of previous numerical studies. | |
| dc.description | 4 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0808.3071 | |
| dc.identifier | http://arxiv.org/abs/0808.3071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167536 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | No quasi-long-range order in the two-dimensional liquid crystal | |
| dc.type | text |