Theory of elastic interaction between colloidal particles in the nematic cell in the presence of the external electric or magnetic field

Abstract

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 symmetric colloidal particles in the nematic cell in the presence of the external electric or magnetic field. General formulas for dipole-dipole, dipole-quadrupole and quadrupole-quadrupole interactions in the homeotropic and planar nematic cells with parallel and perpendicular field orientations are obtained. A set of new results has been predicted: 1) \textit{Deconfinement effect} for dipole particles in the homeotropic nematic cell with negative dielectric anisotropy $\Delta \epsilon <0$ and perpendicular to the cell electric field, when electric field is approaching it's Frederiks threshold value $E\Rightarrow E_c$. This means cancellation of the confinement effect found in Ref. [M.Vilfan et al. Phys.Rev.Lett. {\bf 101}, 237801, (2008)] for dipole particles near the Frederiks transition while it remains for quadrupole particles. 2) New effect of \textit{attraction and stabilization} of the particles along the electric field parallel to the cell planes in the homeotropic nematic cell with $\Delta \epsilon <0$ . The minimun distance between two particles depends on the strength of the field and can be ordinary for . 3) Attraction and repulsion zones for all elastic interactions are changed dramatically under the action of the external field.

15 pages, 17 figures

References in corpus (7)

• Elasticity-mediated self-organization and colloidal interactions of solid spheres with tangential anchoring in a nematic liquid crystal
• Ordered droplet structures at the liquid crystal surface and elastic-capillary colloidal interactions
• Nonlinear electrophoresis of dielectric and metal spheres in a nematic liquid crystal
• Theory of Elastic Interaction of the Colloidal Particles in the Nematic Liquid Crystal Near One Wall and in the Nematic Cell
• Forces between elongated particles in a nematic colloid
• Elastic interaction between colloidal particles in confined nematic liquid crystals
• Effective interactions of colloids on nematic films

Cited by in corpus (6)

• Transport of Particles in Liquid Crystals
• Active colloids in liquid crystals
• Liquid crystal-enabled electrophoresis of spheres in a nematic medium with negative dielectric anisotropy
• Elastic octopoles and colloidal structures in nematic liquid crystals
• Freedericksz-like positional transition of a micro-droplet suspended in a nematic cell
• Formation of a fast "lane" for positional transition in a microparticle-suspended nematic liquid crystal cell