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Brownian Model Theory of Nonequilibrium Liquid Structure and Hydrodynamics of Strong Electrolyte Solutions in an External Field

In this paper, on the basis of the Onsager--Wilson theory of strong binary electrolyte solutions we completely work out the solutions of the governing equations (Onsager-Fuoss equations and Poisson equations) for nonequilibrium pair correlation functions and ionic potentials and the solutions for the Stokes equation for the velocity and pressure in the case of strong binary electrolyte solutions under the influence of an external electric field of arbitrary strength. The solutions are calculated in the configuration space as functions of coordinates and reduced field strength. Thus the axial and transversal components of the velocity and the accompanying nonequilibrium pressure are explicitly obtained and computed for all values of position coordinates. Computation of velocity profiles makes it possible to visualize the movement and distortion of ion atmosphere under the influence of an external electric field.

preprint2012arXivOpen access

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