  We report on the dynamical behavior of defects of strength s = +/- 1/2 in a
lyotropic liquid crystal during the annihilation process. By following their
positions using time resolved polarizing microscopy technique, we present
statistically significant evidence that the relative velocity between defect
pairs is Gaussian distributed, anti-persistent and long-range correlated. We
further show that simulations of the Lebwohl-Lasher model reproduce quite well
our experimental findings.
