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09 July 2020
  » arxiv » 1109.3204

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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 ;
Date 14 Sep 2011
AbstractThe Green function method developed in Ref.[S. B. Chernyshuk and B. I. Lev, Phys. Rev. E extbf{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) extit{Deconfinement effect} for dipole particles in the homeotropic nematic cell with negative dielectric anisotropy $Deltaepsilon<0$ and perpendicular to the cell electric field, when electric field is approaching it’s Frederiks threshold value $ERightarrow E_{c}$. This means cancellation of the confinement effect found in Ref. [M.Vilfan et al. Phys.Rev.Lett. {f 101}, 237801, (2008)] for dipole particles near the Frederiks transition while it remains for quadrupole particles. 2) New effect of extit{attraction and stabilization} of the particles along the electric field parallel to the cell planes in the homeotropic nematic cell with $Deltaepsilon<0$ . 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.
Source arXiv, 1109.3204
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