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The Freedericksz transition in a spatially varying magnetic field

2021/04/20 by Tianyi Guo, Xiaoyu Zheng, Guo, Tianyi +3
Computer Science · Chemistry · Materials Science · #Nonlinear Dynamics and Pattern Formation #Molecular spectroscopy and chirality #Liquid Crystal Research Advancements

paper · pdf · doi:10.48550/arxiv.2104.10014

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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