Effects of Liquid Structure on dc Transport Coefficients in Brownian-Like Solutions

We determine the Ohmic and Hall conductivities for an infinitely dilute Brownian-like electrolyte by solving the generalized Fokker-Planck equation for the stationary value of the carrier particle distribution function. This is done by expanding at each field order in the natural parameter of smallness, γ = (solvent molecule mass/carrier mass)1/2. The corrections to the lowest order results (Brownian motion) are determined, and the Hall coefficient is then found. The value of unity obtained, identical to the Brownian motion value, indicates that liquid structure effects are not significant in this type of system.