Skip to Main content Skip to Navigation
Journal articles

A note on the electrophoresis of a uniformly charged particle

Alain Sellier 1, *
Abstract : We examine the electrophoretic motion of a uniformly charged particle embedded in a varying electric field E8. If R and ?-1 respectively denote the typical radius of curvature of the particle's surface and the usual Debye-Htickel screening length we assume that R " ?-1 and allow variations of E8 over lengths of order at least R. Under these assumptions, this paper shows that it is unnecessary to calculate the total electric field in the electrolyte when determining the rigid-body motion of the particle. The well-known Smoluchowski solution is thereafter readily recovered. Finally, we pay special attention to orthotropic and uniformly charged particles and detail the case of a solid ellipsoid.
Complete list of metadata

https://hal-polytechnique.archives-ouvertes.fr/hal-01024928
Contributor : Denis Roura <>
Submitted on : Thursday, July 17, 2014 - 3:04:15 PM
Last modification on : Wednesday, March 31, 2021 - 8:58:02 AM

Links full text

Identifiers

Collections

Citation

Alain Sellier. A note on the electrophoresis of a uniformly charged particle. Quarterly Journal of Mechanics and Applied Mathematics, Oxford University Press (OUP), 2002, 55 (4), pp.561-572. ⟨10.1093/qjmam/55.4.561⟩. ⟨hal-01024928⟩

Share

Metrics

Record views

158