Drift-diffusion kinetics of a confined colloid.


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.

DOI: 10.1088/0953-8984/22/19/195104

Cite this paper

@article{Leroyer2010DriftdiffusionKO, title={Drift-diffusion kinetics of a confined colloid.}, author={Yves Leroyer and Alois W{\"{u}rger}, journal={Journal of physics. Condensed matter : an Institute of Physics journal}, year={2010}, volume={22 19}, pages={195104} }