Dynamics of Counterion Condensation

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.

5 pages, 1 ps figure included using epsf

References in corpus (1)

• The fraction of condensed counterions around a charged rod: Comparison of Poisson-Boltzmann theory and computer simulations

Cited by in corpus (6)

• Electrostatic correlations: from Plasma to Biology
• Collective Thermotaxis of Thermally Active Colloids
• Transient fluctuation-induced forces in driven electrolytes after an electric field quench
• A correlation-hole approach to the electric double layer with counter-ions only
• Relaxation dynamics of two interacting electrical double-layers in a 1D Coulomb system
• Distribution of Interacting Ionic Particles in Disordered Media