Plateau Instability of Liquid Crystalline Cylinder in Magnetic Field

Leonid G. Fel; Yoram Zimmels

Plateau Instability of Liquid Crystalline Cylinder in Magnetic Field

Fluid Dynamics 2007-05-23 v1 Chemical Physics

Authors: Leonid G. Fel , Yoram Zimmels

Abstract

The capillary instability of a LC cylinder in magnetic field is considered using an energy approach. The boundary problem is solved in the linear approximation of the anisotropy $\chi_a$ of the magnetic susceptibility $\chi$ . The effect of anisotropy, in the region $1\gg|\chi|>|\chi_a|\gg \chi^2$ , can be strong enough to counteract and even reverse the tendency of the field to enhance stabilization by enlarging the cut--off wave number $k_s$ beyond the conventional one set by Rayleigh.

Keywords

plateau instability liquid crystalline cylinder magnetic field capillary instability anisotropy cut-off wave number

Cite

@article{arxiv.physics/0411200,
  title  = {Plateau Instability of Liquid Crystalline Cylinder in Magnetic Field},
  author = {Leonid G. Fel and Yoram Zimmels},
  journal= {arXiv preprint arXiv:physics/0411200},
  year   = {2007}
}

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14 pages, 2 figures

Plateau Instability of Liquid Crystalline Cylinder in Magnetic Field

Abstract

Keywords

Cite

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