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Zhidk. krist. ikh prakt. ispol'z. = Liq. Cryst. and their Appl., 2013, 1, 88—97.
Threshold Magnetic Field for the Domain Structure Formation in Nematic Liquid Crystals at the Transverse Bending Deformation
A. V. Golovanov1, E. N. Ryzhov2, E. A. Smirnov2, A. M. Chebanyuk3
Author affiliations 1A.N.Nesmeyanov Institute of Organoelement Compounds RAS (INEOS RAS)
Russia, 119991, GSP-1, Moscow, V-334, Vavilova St. 28, INEOS 2Volgograd State Technical University. Russia, 400066, Volgograd, Lenin av., 28 3Moscow State University of Mechanical Engineering (MAMI).
Russia, 107023, Moscow, M. Semyonovskaya st., 38,
Abstract The dependency (the square of the dimensionless magnetic field tension on the square of the dimensionless wave vector of the domain structure) is analytically received for the effect of the transitional hydrodynamic instability, appearing in nematics at the transverse bending deformation in a magnetic field. It is shown that: a) the function is the result of division with the remainder of two polynomials of the fourth and the second degrees with the coefficients, which are defined by combination of four dimensionless viscosities η2/η1, η6/η1, η7/η1, η8/η1; b) the value of h2 at the minimum of the function is a square of the threshold field of the domain formation h2.
Keywords: nematics, transverse bending deformation, magnetic field, transitional hydrodynamic instability, threshold field of domain formation.