Dynamics of counterion condensation
Institute for Theoretical Physics, University of California
Santa Barbara, CA 93106-4030, USA
and Institute for Advanced Studies in Basic Sciences - Zanjan 45195-159, Iran
Accepted: 26 July 2000
Using a dynamical version of the Poisson-Boltzmann equation, dynamics of counterion condensation is studied. For a single charged plate in the presence of counterions, it is shown that the approach to equilibrium is diffusive. In the nonequilibrium case of a moving charged plate, a dynamical counterion condensation transition occurs at a critical velocity. The complex dynamic behavior of the counterion cloud is shown to lead to a novel nonlinear force-velocity relation, and an anomalous electrophoresis for the moving charged plate.
PACS: 05.60.Cd – Classical transport / 64.60.Ht – Dynamic critical phenomena / 82.45.+z – Electrochemistry and electrophoresis
© EDP Sciences, 2000