Dynamical Scaling In Two Dimensional Quenched Uniaxial Nematic Liquid Crystals

Details Dynamical Scaling In Two Dimensional Quenched Uniaxial Nematic Liquid Crystals Dynamical Scaling In Two Dimensional Quenched Uniaxial Nematic Liquid Crystals

2005-03-05

arxiv.org/abs/cond-mat/0503121v1

Physical review E, 71, 026119 (2005)

Physics

Condensed Matter

Statistical Mechanics

5 figures, For Figure 5 in the manuscript please send an email

Scientific paper

10.1103/PhysRevE.71.026119

The phase ordering kinetics of the two-dimensional uniaxial nematic has been studied using a Cell Dynamic Scheme. The system after quench from T=infinity was found to scale dynamically with an asymptotic growth law similar to that of two-dimensional O(2) model (quenched from above the Kosterlitz - Thouless transition temperature), i.e. L(t) ~ t/ln(t/t0 ^{1/2} (with nonuniversal time scale t0). We obtained the true asymptotic limit of the growth law by performing our simulation for sufficiently long time. The presence of topologically stable 1/2-disclination points is reflected in the observed large-momentum dependence k ^{-4} of the structure factor. The correlation function was also found to tally with the theoretical prediction of the correlation function for the two-dimensional O(2) system.

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