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Zhidk. krist. ikh prakt. ispol'z. = Liq. Cryst. and their Appl., 2015, 15 (3), 119—124. DOI: 10.18083/LCAppl.2015.3.119
Linear Stability Analysis of One-Dimensional Models of Magneto-Hydrodynamic Domains in Nematics
А. V. Golovanov1, L. V. Babakova2, I. A. Karpov2
Author affiliations 1Institute of Organoelement Compounds of RAS,
28 Vavilov St., Moscow, 119991, Russia E-mail: firstname.lastname@example.org
2Moscow State University of Mechanical Engineering (MAMI),
38 L. Semyonovskaya St., Moscow, 107023, Russia
Abstract The one-dimensional magneto-hydrodynamic model domains that occur in nematic liquid crystals under the bend and torsion deformations were investigated by the linear stability analysis. It is shown that these models are robust. It is shown that in the framework of the models the states of two types are realized: the neutral stability and the sustainable unit. The phase portraits which were built on the base of the analysis illustrate the obtained results.
Keywords: nematic, bend deformation, torsion deformation, linear stability analysis, phase portrait