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Dynamics of Counterion Condensation

Ramin Golestanian
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Abstract

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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Ramin Golestanian. 1999-05-18. Dynamics of Counterion Condensation. https://doi.org/10.1209/epl%2Fi2000-00402-x

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