Topological transition in a two-dimensional model of liquid crystal
Statistical Mechanics
2016-08-16 v1
Abstract
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 . 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.
Keywords
Cite
@article{arxiv.cond-mat/0506736,
title = {Topological transition in a two-dimensional model of liquid crystal},
author = {Ana Fariñas-Sanchez and Ricardo Paredes and Bertrand Berche},
journal= {arXiv preprint arXiv:cond-mat/0506736},
year = {2016}
}