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.
Domaines
Matière Molle [cond-mat.soft]
Origine : Fichiers produits par l'(les) auteur(s)
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