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 cµ0 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. In the final sections, we also pass comment on other scaling regimes of the correlation function.