Dynamic Statistical Scaling in the Landau-de Gennes Theory of Nematic Liquid Crystals

In this article, we investigate the long time behaviour of a correlation function which is associated with a nematic liquid crystal system that is undergoing an isotropic-nematic phase transition. Within the setting of Landau-de Gennes theory, we confirm a hypothesis in the condensed matter physics literature on the average self-similar behaviour of this correlation function in the asymptotic regime at time infinity, namely parallel to c(mu 0)(r, t) - e(-[r]2/8t)parallel to(L infinity(R3,dr)) = O(t(-1/2)) as t -> infinity. In the final sections, we also pass comment on other scaling regimes of the correlation function.