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Plateau Instability of Liquid Crystalline Cylinder in Magnetic Field

Leonid G. Fel·Yoram Zimmels
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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 $χ_a$ of the magnetic susceptibility $χ$. The effect of anisotropy, in the region $1\gg|χ|>|χ_a|\gg χ^2$, 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.

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Leonid G. Fel, Yoram Zimmels. 2004-11-21. Plateau Instability of Liquid Crystalline Cylinder in Magnetic Field. https://arxiv.org/abs/physics/0411200

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