2005/03/05 by Subhrajit Dutta, Soumen Kumar Roy
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.soft
paper · pdf · doi:10.1103/physreve.71.026119
published as Physical review E, 71, 026119 (2005) · 5 figures, For Figure 5 in the manuscript please send an email
arxiv created 2005/03/05 · arxiv updated 2009/12/01
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.