Smoluchowski–Vlasov theory of charge solvation dynamics

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Abstract
The dynamics of polar solvent reorganization near an instantaneously created charge are investigated. A linear, Vlasov-type equation is derived, where the interactions between the polar molecules are treated using a mean field term containing the direct correlation function. For the diffusive limit, a Smoluchowski–Vlasov equation for reorientation is studied. The results, for model solvents, are compared to the results from continuum dielectric theories, to experimental results, and to results from recent computer simulations.