Dynamics of Counterion Condensation

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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5 pages, 1 ps figure included using epsf

Scientific paper

10.1209/epl/i2000-00402-x

Using a generalization 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 far from equilibrium 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 for the moving plate.

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