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

TL;DR

This paper develops a comprehensive theoretical framework based on the Onsager-Wilson theory to analyze the nonequilibrium structure and hydrodynamics of strong electrolyte solutions under external electric fields, providing explicit solutions and velocity profiles.

Contribution

It provides complete solutions for pair correlation functions, ionic potentials, and fluid velocity fields in strong electrolytes under arbitrary external fields, extending previous theoretical models.

Findings

Explicit velocity and pressure profiles for all positions.

Visualization of ion atmosphere distortion under electric fields.

Analytical solutions for nonequilibrium pair correlations.

Abstract

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.