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arXiv · 2104.10014

The Freedericksz transition in a spatially varying magnetic field

Tianyi Guo·Xiaoyu Zheng·Peter Palffy-Muhoray
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Abstract

Much is known about the Freedericksz transition induced by uniform electric and magnetic fields in nematic liquid crystals. Here we study the effects of a spatially varying field on the transition. We study the response of a nematic to a magnetic field with cylindrical symmetry, and find that since the field magnitude varies in the plane of the cell, the transition vanishes.

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Tianyi Guo, Xiaoyu Zheng, Peter Palffy-Muhoray. 2021-04-20. The Freedericksz transition in a spatially varying magnetic field. https://arxiv.org/abs/2104.10014

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