| Issue |
Europhys. Lett.
Volume 52, Number 1, October I 2000
|
|
|---|---|---|
| Page(s) | 47 - 53 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2000-00402-x | |
| Published online | 01 September 2002 | |
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
Received:
16
February
2000
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
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