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Topological transition in a two-dimensional model of liquid crystal

Ana Fariñas-Sanchez·Ricardo Paredes·Bertrand Berche
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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 $P\_4$. 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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Ana Fariñas-Sanchez, Ricardo Paredes, Bertrand Berche. 2005-06-28. Topological transition in a two-dimensional model of liquid crystal. https://doi.org/10.1103/physreve.72.031711

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