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Regular version of the site

Article

Одномерные текстуры биаксиальных жидких кристаллов

Голо В. Л., Кац Е. И., Синицын Д. О.

We have derived the equations for 1D textures of biaxial nematics and showed that they are based on the struc
ture of the group SL(3;R) of real 3×3 matrices of determinent +1. To describe the conformations of the above textures
we introduce the curvature vector Ω that corresponds to a skew-symmetric matrix decribing infitesimal rotations
of the order parameter while moving along the axis of the texture. The construction is helpful for the analysis
of data provided by the numerical modelling. Thus we have obtained the conditional periodic textures of the biaxial
nematics. Our results may be applied for studying the optical phenomenae in the biaxial nematics.