J. Fukuda, EFFECT OF HYDRODYNAMIC FLOW ON KINETICS OF NEMATIC-ISOTROPIC TRANSITION IN LIQUID-CRYSTALS, EUROPEAN PHYSICAL JOURNAL B, 1(2), 1998, pp. 173-177
We investigate kinetics of nematic-isotropic transition by solving the
hydrodynamic equations for the nematic 3 x 3 tensor order parameter Q
(alpha beta) and the fluid velocity in two space dimension (x-y plane)
. Numerical results indicate that nematic directors tend to align para
llel to the x-y plane when hydrodynamic flow is incorporated. Late sta
ge growth exponents, phi(C), for the correlation length and phi(def) f
or the number of topological defects, are not significantly altered by
hydrodynamic flow. However, in contrast to the case without flow, the
relation phi(def) = -2 phi(C) holds well, which may indicate the vali
dity of dynamical scaling for the case with hydrodynamic flow.