Hydrodynamic coupling in diffusion of quasi–one-dimensional Brownian particles

We report a study of the diffusion of weakly interacting colloidal spheres in a one-dimensional groove using digital video microscopy. At a time much shorter than the direct interaction time, \(\tau_\ab{I}\), the spheres diffuse according to Fick's law. The packing fraction dependence of the sh...

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Bibliographic Details
Published in:Europhysics letters 2002-03, Vol.57 (5), p.724-730
Main Authors: Lin, Binhua, Cui, Bianxiao, Lee, Ji-Hwan, Yu, Jonathan
Format: Article
Language:English
Subjects:
82.70.Dd
83.80.Hj
Chemistry
Colloidal state and disperse state
Exact sciences and technology
General and physical chemistry
Physical and chemical studies. Granulometry. Electrokinetic phenomena
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Summary:We report a study of the diffusion of weakly interacting colloidal spheres in a one-dimensional groove using digital video microscopy. At a time much shorter than the direct interaction time, \(\tau_\ab{I}\), the spheres diffuse according to Fick's law. The packing fraction dependence of the short-time diffusion coefficient is much stronger than in unbound bulk fluids, indicative of an enhanced hydrodynamic coupling between particles in a groove. At a later time (but still shorter than \(\tau_\ab{I}\)) a subdiffusion (\(\langle\Delta x^2 (\tau)\rangle\propto \tau^{\gamma}\), where \(\gamma
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2002-00523-2