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Article Dans Une Revue Journal of Physics: Condensed Matter Année : 2010

Drift–diffusion kinetics of a confined colloid

Résumé

The drift–diffusion equation on a finite interval with reflecting boundary conditions is solved by Laplace transformation. The Green function is obtained as a series in powers of e−hu/D, where u is the drift velocity, D the diffusion coefficient and h the width of the interval. In the drift-dominated regime hu/D 1, the first terms provide an exact solution in the limit of short and long times, and a good approximation in the intermediate regime. As a possible application, we discuss confined colloidal suspensions subjected to an external field.
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Dates et versions

hal-00473759 , version 1 (16-04-2010)

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Yves Leroyer, Aloïs Würger. Drift–diffusion kinetics of a confined colloid. Journal of Physics: Condensed Matter, 2010, 22 (19), pp.195104. ⟨10.1088/0953-8984/22/19/195104⟩. ⟨hal-00473759⟩

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