The effects of hyperbolic diffusion in liquid junctions

Abstract

The present paper constitutes an attempt to estimate theoretically the effects of microscopic ion motion in the formation of a liquid junction potential. It is proven that the potential behavior in the evolution process to the steady-state value strongly depends on the ion velocity in the case of normal and higher concentrations. To simulate the phenomenon numerically, a model of hyperbolic diffusion is used and an effective solution method is proposed. Calculation results for this model demonstrate the great influence of hyperbolic diffusion on the development of the potential in liquid junctions, especially if the ion velocities are different. The general model is compared to the Planck approximation, which has been extended to the case of hyperbolic diffusion.