English

The Freedericksz transition in a spatially varying magnetic field

Soft Condensed Matter 2021-04-21 v1

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.

Keywords

Cite

@article{arxiv.2104.10014,
  title  = {The Freedericksz transition in a spatially varying magnetic field},
  author = {Tianyi Guo and Xiaoyu Zheng and Peter Palffy-Muhoray},
  journal= {arXiv preprint arXiv:2104.10014},
  year   = {2021}
}

Comments

11 pages, 9 figures