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Diffusion and conduction in a salt-free colloidal suspension via molecular dynamics simulations

Molecular dynamics (MD) simulations are used to determine the diffusion coefficients, electrophoretic mobilities and electrical conductivity of a charged colloidal suspension in the salt-free regime as a function of the colloid charge. The behavior of the colloidal particles' diffusion constant can be well understood in terms of two coupled effects: counterion 'condensation' and slowdown due to the relaxation effect. We find that the conductivity exhibits a maximum which approximately separates the regimes of counterion-dominated and colloid-dominated conduction. We analyze the electrophoretic mobilities and the conductivity in terms of commonly employed assumptions about the role of "free" and "condensed" counterions, and discuss different interpretations of this approach.