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, namely (Formula presented) In the final sections, we also pass comment on other scaling regimes of the correlation function.
- Asymptotics of dynamics
- Heat equation
- Landau-de Gennes theory
- Statistical solutions of evolution equations
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics