180 citations · 364 across the 10 of their papers we have counts for
10 papers
Theory of elastic interaction between axially symmetric 3D skyrmions in confined chiral nematic liquid crystals and in skyrmion bags
S. B. Chernyshuk, Ye. G. Rudnikov
We study axially symmetrical 3D skyrmionic particles (torons, hopfions) in a thin homeotropic cell filled with a cholesteric liquid crystal. In this case, the contribution of the c…
Hexadecapolar colloids
Bohdan Senyuk, Owen Puls, Oleh M. Tovkach +2
Outermost occupied electron shells of chemical elements can have symmetries resembling that of monopoles, dipoles, quadrupoles and octupoles corresponding to filled s-, p-, d- and…
Surface induced structures in nematic liquid crystal colloids
S. B. Chernyshuk, O. M. Tovkach, B. I. Lev
We predict theoretically the existence of a class of colloidal structures in nematic liquid crystal (NLC) cells, which are induced by surface patterns on the plates of the cell (li…
Elastic monopoles and external torques in nematic liquid crystal colloids
O. M. Tovkach, S. B. Chernyshuk, B. I. Lev
Up to now it is commonly believed that a colloidal particle suspended in a nematic liquid crystal never produces elastic monopoles because this violates the mechanical equilibrium…
Elastic octopoles and colloidal structures in nematic liquid crystals
S. B. Chernyshuk, O. M. Tovkach, B. I. Lev
We propose a simple theoretical model which explains a formation of dipolar 2D and 3D colloidal structures in nematic liquid crystal. Colloidal particles are treated as effective h…
High order elastic terms, boojums and general paradigm of the elastic interaction between colloidal particles in the nematic liquid crystals
S. B. Chernyshuk
Theoretical description of the elastic interaction between colloidal particles in NLC with incorporation of the higher order elastic terms beyond the limit of dipole and qudrupole…
Theory of elastic interaction between colloidal particles in the nematic cell in the presence of the external electric or magnetic field
S. B. Chernyshuk, O. M. Tovkach, B. I. Lev
The Green function method developed in Ref.[S. B. Chernyshuk and B. I. Lev, Phys. Rev. E \textbf{81}, 041707 (2010)] is used to describe elastic interactions between axially symmet…
Theory of Elastic Interaction of the Colloidal Particles in the Nematic Liquid Crystal Near One Wall and in the Nematic Cell
S. B. Chernyshuk, B. I. Lev
We apply the method developed in Ref. [S.B.Chernyshuk and B.I.Lev, Phys.Rev.E, \textbf{81}, 041701 (2010)] for theoretical investigation of colloidal elastic interactions between a…
Elastic interaction between colloidal particles in confined nematic liquid crystals
S. B. Chernyshuk, B. I. Lev
The theory of elastic interaction of micron size axially symmetric colloidal particles immersed into confined nematic liquid crystal has been proposed. General formulas are obtaine…
Ordered droplet structures at the liquid crystal surface and elastic-capillary colloidal interactions
I. I. Smalyukh, S. Chernyshuk, B. I. Lev +4
We demonstrate a variety of ordered patterns, including hexagonal structures and chains, formed by colloidal particles (droplets) at the free surface of a nematic liquid crystal (L…