Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Articles dans des revues à comité de lecture

Topological transition in a two-dimensional model of liquid crystal
Fariñas-Sanchez A.I., Paredes R., Berche B.
Physical Review E - Statistical, Nonlinear, and Soft Matter Phys 72 (2005) 031711
DOI : 10.1103/PhysRevE.72.031711
ArXiv : cond-mat/0506736 [PDF]
HAL : hal-00005684

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterized by nonlinear nearest neighbor spin interaction governed by the fourth Legendre polynomial P4. 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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