Dynamic statistical scaling in the Landau–de Gennes theory of nematic liquid crystals

Kirr, Eduard, Wilkinson, Mark and Zarnescu, Arghir (2014) Dynamic statistical scaling in the Landau–de Gennes theory of nematic liquid crystals. Journal of Statistical Physics, 155 (4). pp. 625-657. ISSN 0022-4715

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Abstract

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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User: Arghir Zarnescu
Date Deposited: 07 Aug 2014 12:54
Last Modified: 07 Aug 2014 12:54
URI: http://sro.sussex.ac.uk/id/eprint/48720
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