Derivation from the Liouville Equation of the Fuoss-Onsager Theory of Ionic Conductivity

Abstract

Recent advances in the theory of Brownian motion are used to derive the Fuoss-Onsager theory of the conductivity of ionic solutions from the Liouville equation for N solvent particles and two heavy Brownian particles. The Fuoss-Onsager theory is shown to be sufficiently accurate to give the correct value of the conductivity through order c lnc in the concentration c; however, it is seen that the Fuoss-Onsager theory does not take into account some terms which affect the conductivity to first order in the concentration.