Nematic phase transitions in two-dimensional systems

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterized by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial P₄. The system is studied through standard Finite-Size Scaling and c...

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Bibliographic Details
Date:2005
Main Authors: Berche, B., Paredes, R.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2005
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/121047
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Nematic phase transitions in two-dimensional systems / B. Berche, R. Paredes // Condensed Matter Physics. — 2005. — Т. 8, № 4(44). — С. 723–736. — Бібліогр.: 33 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterized by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial P₄. The system is studied through standard Finite-Size Scaling and conformal rescaling of density profiles or correlation functions. The low temperature limit is discussed in the spin wave approximation and confirms the numerical results, while the value of the correlation function exponent at the deconfining transition seems controversial.