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arXiv · 1211.4427

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

Eduard Kirr·Mark Wilkinson·Arghir Zarnescu
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Abstract

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.

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Eduard Kirr, Mark Wilkinson, Arghir Zarnescu. 2013-10-04. Dynamic Statistical Scaling in the Landau-de Gennes Theory of Nematic Liquid Crystals. https://arxiv.org/abs/1211.4427

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