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Dynamic statistical scaling in the Landau–de Gennes theory of nematic liquid crystals
journal contribution
posted on 2023-06-08, 17:20 authored by Eduard Kirr, Mark Wilkinson, Arghir ZarnescuIn 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.
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Publication status
- Published
Journal
Journal of Statistical PhysicsISSN
0022-4715Publisher
KluwerExternal DOI
Issue
4Volume
155Page range
625-657Department affiliated with
- Mathematics Publications
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- No
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- Yes
Legacy Posted Date
2014-08-07Usage metrics
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