Eduard Kirr, Mark Wilkinson, Arghir Zarnescu
Published 2012-11-19, updated 2013-10-04Version 2
We investigate the asymptotic behaviour of a correlation function associated with a nematic liquid crystal system undergoing an isotropic-nematic phase transition following an instantaneous change of temperature. 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 the correlation function in the asymptotic regime at time infinity. In the final sections, we comment on other possible scaling behaviour of the correlation function.
Comments: 31 pages; minor typos corrected; references added; margin overspill fixed
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