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

Kostrobij P. P., Markovych B. M., Tokarchuk R. M., Tokarchuk M. V., Chernomorets Yu. I.
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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.
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Bibliography: 
Math. Model. Comput. Vol.1, No.2, pp.178-194 (2014)