MONDIOT, Frédéric; LOUDET, Jean-Christophe; MONDAIN-MONVAL, Olivier; SNABRE, Patrick; VILQUIN, Alexandre; WÜRGER, Alois

doi:10.1103/PhysRevE.86.010401

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MONDIOT, Frédéric
Centre de recherches Paul Pascal [CRPP]
Centre de recherches Paul Pascal [CRPP]

LOUDET, Jean-Christophe
Centre de recherches Paul Pascal [CRPP]
Centre de recherches Paul Pascal [CRPP]

MONDAIN-MONVAL, Olivier
Centre de recherches Paul Pascal [CRPP]
Centre de recherches Paul Pascal [CRPP]

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Physical Review E : Statistical, Nonlinear, and Soft Matter Physics. 2012-07-05, vol. 86, n° 1, p. 010401

American Physical Society

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We report the experimental observation of anisotropic diffusion of polystyrene particles immersed in a lyotropic liquid crystal with two different anchoring conditions. Diffusion is shown to obey the Stokes-Einstein law for particle diameters ranging from 190 nm up to 2 μm. In the case of prolate micelles, the beads diffuse four times faster along the director than in perpendicular directions, D /D⊥ ≈ 4. In the theory part we present a perturbative approach to the Leslie-Ericksen equations and relate the diffusion coefficients to the Miesovicz viscosity parameters ηi .We provide explicit formulas for the cases of uniform director field and planar anchoring conditions which are then discussed in view of the data. As a general rule, we find that the inequalities ηb < ηa < ηc, satisfied by various liquid crystals of rodlike molecules, imply D > D⊥.< Leer menos

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colloids

diffusion

liquid crystals

nematic

brownian motion

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Stokes-Einstein diffusion of colloids in nematics

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