Plateau Instability of Liquid Crystalline Cylinder in Magnetic Field

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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.
14 pages, 2 figures

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