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Low-damping slow modes of orientational nonlinear vibrations in liquid crystals in the presence of destabilizing magnetic fields

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Abstract

For nor linear inertial torsion vibrations of the structure of a nematic liquid crystal in a destabilizing magnetic field, there exist low-frequency modes with anomalously weak damping. The corresponding solution of a sine-Gordon-type equation, accounting for viscous rotational friction, describes the transitions between two equilibrium states separated by a potential barrier. We show that when the vibration amplitude is large enough to overcome the barrier, the ratio of the damping time to the vibration period diverges logarithmically.

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Authors and Affiliations

  1. Institute for Problems of Machine Engineering, Russian Academy of Sciences, USSR

    E. L. Aero

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  1. E. L. Aero
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Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 111, No. 1, pp. 132–143, April, 1997.

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Aero, E.L. Low-damping slow modes of orientational nonlinear vibrations in liquid crystals in the presence of destabilizing magnetic fields. Theor Math Phys 111, 498–506 (1997). https://doi.org/10.1007/BF02634204

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  • DOI: https://doi.org/10.1007/BF02634204

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