RUS  ENG
Full version
JOURNALS // Proceedings of the Mavlyutov Institute of Mechanics // Archive

Proceedings of the Mavlyutov Institute of Mechanics, 2017, Volume 12, Issue 2, Pages 214–218 (Mi pmim71)

Layered anisotropic liquids: deformation of structures in electric and magnetic fields

N. G. Migranova, D. V. Kondratyevb

a Mavlyutov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
b Academy of Sciences of Bashkortostan

Abstract: On the basis of the analysis of the free energy of a viscoelastic anisotropic layer liquid, a chiral ferroelectric liquid crystal <i>C</i><sup>∗</sup> , located in a thin cell in a ”bookshelf“ geometry the possibility of the smectic layers periodic distortions in the external magnetic <b>H</b> and electric <b>E</b> fields applied perpendicularly and along the plates, respectively, are investigated. The polar angle θ formed by the unit vector <b>n</b> and the normal <b>a</b> to the smectic planes is fixed, and the appearing Helfrich-Yuro distortions <i>u</i> of the smectic layers are assumed to be small in the proposed continuum model of the liquid ferroelectrics.

Keywords: ferroelectric liquid crystal, mathematical modeling, smectic liquid crystal, smectic layer, periodic distortions.

UDC: 538.9

Received: 12.12.2017

DOI: 10.21662/uim2017.2.032



© Steklov Math. Inst. of RAS, 2026