  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.
