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Mean-field limit and phase transitions for nematic liquid crystals in the continuum

Bachmann, Sven et al.
arXiv (All) · Papers
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analysis-of-pdesmathematical-physicsstatistical-mechanics
We discuss thermotropic nematic liquid crystals in the mean-field regime. In the first part of this article, we rigorously carry out the mean-field limit of a system of $N$ rod-like particles as $N\to\infty$, which yields an effective `one-body' free energy functional. In the second part, we focus o
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