Computational fluid dynamics for nematic liquid crystals
نویسندگان
چکیده
منابع مشابه
Macroscopic dynamics of polar nematic liquid crystals.
We present the macroscopic equations for polar nematic liquid crystals. We consider the case where one has both, the usual nematic director, n[over ] , characterizing quadrupolar order as well as the macroscopic polarization, P , representing polar order, but where their directions coincide and are rigidly coupled. In this case one has to choose P as the independent macroscopic variable. Such e...
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We study the coarsening dynamics of two- and three-dimensional biaxial nematic liquid crystals, using Langevin dynamics. Unlike previous work, we use a model with no a priori relationship among the three elastic constants associated with director deformations. Biaxial nematics possess four topologically distinct classes of defects, three of which have half-integer charge, while the fourth, whic...
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There are two types of defects in the uniaxial nematic F phase: line defects (disclinations) and point defects (hedgehogs and boojums). These are reviewed at three levels: (i) experimental observations; (ii) topological classification; and (iii) curvature elasticity. The reader is referred to the textbooks on liquid crystals (Chandrasekhar 1992, de Gennes and Prost 1993), defects (Kltman 1983),...
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Analytical calculations of the dynamics of a curved domain wall in a nematic liquid crystal are performed. The core of the wall is assumed to form a cylinder, whose axis coincides with the direction of an external magnetic field. The equation of motion for the nematic director field is solved in a comoving coordinate frame by applying a polynomial expansion of the tilt angle with respect to the...
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Defects in liquid crystals are discontinuities in order parameter. In nematic liquid crystals (NLC) two types of stable defects exist: disclination lines and point defects. Defects formation depends on isotropic to nematic phase transition while their stability depends strongly on confining surface properties, surface geometry and presence of external field. Classical Frank’s model of director ...
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ژورنال
عنوان ژورنال: BIT Numerical Mathematics
سال: 2015
ISSN: 0006-3835,1572-9125
DOI: 10.1007/s10543-015-0586-5