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

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.

preprint2013arXivOpen access
Eduard KirrMark WilkinsonArghir Zarnescu
math.AP
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Open access3 authors1 topic
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Eduard KirrMark WilkinsonArghir Zarnescu

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