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arXiv · 1811.07801

Painlev\'e-II profile of the shadow kink in the theory of light-matter interaction in nematic liquid crystals

Christos Sourdis
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Abstract

We confirm a prediction that the recently introduced shadow kink defect in the theory of light-matter interaction in nematic liquid crystals is described to main order by a solution of the Painlev\'e-II equation which changes sign once in the whole real line. Our result implies that such a solution of the latter equation is energy minimizing with respect to compactly supported perturbations.

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Christos Sourdis. 2018-11-19. Painlev\'e-II profile of the shadow kink in the theory of light-matter interaction in nematic liquid crystals. https://arxiv.org/abs/1811.07801

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