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

: pp. 178-194
Received: December 01, 2014

Math. Model. Comput. Vol. 1, No. 2, pp. 178-194 (2014)

Lviv Polytechnic National University
Lviv Polytechnic National University
Lviv Polytechnic National University
Lviv Polytechnic National University; Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine
Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine

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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