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20 April 2024
 
  » arxiv » 0912.1006

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Elastic interaction between colloidal particles in confined nematic liquid crystals
S. B. Chernyshuk ; B.I.Lev ;
Date 5 Dec 2009
AbstractThe theory of elastic interaction of micron size axially symmetric colloidal particles immersed into confined nematic liquid crystal has been proposed. General formulas are obtained for the self energy of one colloidal particle and interaction energy between two particles in arbitrary confined NLC with strong anchoring condition on the bounding surface. Particular cases of dipole-dipole interaction in the homeotropic and planar nematic cell are considered and found to be exponentially decreasing on far distances with decay length $lambda_{dd}=frac{L}{pi}$. It is predicted that in the planar cell the attraction and repulsion zones of usual dipole-dipole interaction crucially change. As well it is predicted that extit{decay length} for dipole interaction extit{is twice more} than for quadrupole interaction in the homeotropic cell.
Source arXiv, 0912.1006
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