Statistical description of electro-diffusion processes of ions intercalation in "electrolyte – electrode" system-Reference-Cited by-同舟云学术

Statistical description of electro-diffusion processes of ions intercalation in "electrolyte – electrode" system

Published:2014 Issue:2 Volume:1 Page:178-194
ISSN:2312-9794
Container-title:Mathematical Modeling and Computing
language:
Short-container-title:Math. Model. Comput.

Author:

Kostrobij P., ,Markovych B.^ORCID,Tokarchuk R.,Tokarchuk M.,Chernomorets Yu., , , ,

Abstract

We propose a statistical theory of classical-quantum description of electro-diffusion processes of intercalation in "electrolyte – electrode" system. Using the nonequilibrium statistical operator method the generalized transport equations of Nernst-Planck type for ions and electrons in the "electrolyte – electrode" system are obtained. These equations take into account time memory effects and spatial heterogeneity. Within a classical description an analytical calculation of spatially inhomogeneous diffusion coefficients for ions is carried out.

Publisher

Lviv Polytechnic National University

Subject

Computational Theory and Mathematics,Computational Mathematics

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