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

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

MMC.
2014;
Volume 1, Number 2
: pp. 178-194
https://doi.org/10.23939/mmc2014.02.178
Received: December 01, 2014

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

Authors:
  1. P. Kostrobij
  2. B. Markovych
  3. R. Tokarchuk
  4. M. Tokarchuk
  5. Yu. Chernomorets
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University; Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine
5
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. 

intercalation
electro-diffusion process
transport equation
nonequilibrium statistical operator
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