Abstract Kinetic equations for unary and binary distribution function are used to obtain analytical expressions for dynamic coefficients of permittivity ε1(ν) and dielectric losses ε2(ν) of electrolyte solutions when the equilibrium structures of solutions are reduced in accordance with the law of diffusion or exponentially. Quantities ε1(ν) and ε2(ν) are calculated numerically as functions of temperature Т, density ρ, concentration С, and frequency ν for aqueous solutions of sodium chloride at a chosen potential <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11504_2025_6238_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="57" /> </InlineMediaObject> <EquationSource Format="TEX">\({{\Phi }_{{ab}}}(|{\kern 1pt} \vec {r}{\kern 1pt} |)\)</EquationSource>  </InlineEquation> of intermolecular interaction and radial distribution function <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11504_2025_6238_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\({{g}_{{ab}}}(|{\kern 1pt} \vec {r}{\kern 1pt} |)\)</EquationSource>  </InlineEquation>. The results from numerical calculations are in qualitative agreement with experimental data. Frequency dispersions of coefficients ε1(ν) and ε2(ν) are studied as functions of the mechanism for relaxing flow damping. It is shown that the ranges of frequency dispersions of ε1(ν) and ε2(ν) based on the mechanism of diffusion are broad (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11504_2025_6238_Article_IEq3.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="67" /> </InlineMediaObject> <EquationSource Format="TEX">\(\sim {\kern 1pt} {{10}^{5}}\;{\text{Hz}}\)</EquationSource>  </InlineEquation>) and narrow (~102 Hz) for the exponential damping of the relaxing flow, which corresponds to results from using phenomenological relaxation theory.

Statistical Theory of the Dielectric Properties and Relaxation Processes of Electrolyte Solutions

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发表日期：

2025年8月3日

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S. Odinaev,
R. S. Makhmadbegov,
D. M. Akdodov

摘要

Abstract

Kinetic equations for unary and binary distribution function are used to obtain analytical expressions for dynamic coefficients of permittivity ε₁(ν) and dielectric losses ε₂(ν) of electrolyte solutions when the equilibrium structures of solutions are reduced in accordance with the law of diffusion or exponentially. Quantities ε₁(ν) and ε₂(ν) are calculated numerically as functions of temperature Т, density ρ, concentration С, and frequency ν for aqueous solutions of sodium chloride at a chosen potential \({{\Phi }_{{ab}}}(|{\kern 1pt} \vec {r}{\kern 1pt} |)\) of intermolecular interaction and radial distribution function \({{g}_{{ab}}}(|{\kern 1pt} \vec {r}{\kern 1pt} |)\) . The results from numerical calculations are in qualitative agreement with experimental data. Frequency dispersions of coefficients ε₁(ν) and ε₂(ν) are studied as functions of the mechanism for relaxing flow damping. It is shown that the ranges of frequency dispersions of ε₁(ν) and ε₂(ν) based on the mechanism of diffusion are broad ( \(\sim {\kern 1pt} {{10}^{5}}\;{\text{Hz}}\) ) and narrow (~10² Hz) for the exponential damping of the relaxing flow, which corresponds to results from using phenomenological relaxation theory.