Potential and charge-carrier concentration distributions in solid electrolyte between flat electrodes

  • Heorhi S. Bokun Belarusian State Technological University, 13a Sviardlova Street, Minsk 220630, Belarus
  • Dung Di Caprio National Graduate School of Chemistry, 11 Pierre and Marie Curie Street, Paris 75005, France

Abstract

Statistically studied are the equilibrium characteristics of a subsystem of mobile charges of one sort, taking into account the subsystem of fixed charges of the opposite sign creating a compensating electric background. The distribution of these charges under the influence of the external field is invariable. To represent free energy of the subsystem of mobile charges in the form of a functional of their density and to calculate cell potentials of the mean forces by the method of conditional distributions, a cumulant expansion with respect to the renormalized Mayer functions is used. To take into account the screening effects, the results of the collective variables method are used. Asystem of integral equations for the potentials of mean forces is obtained that accounts for the effects of near- and long-range interactions. The calculations are made in the lattice approximation. The correlation component distinguished in the expression for the binary distribution function makes it possible to calculate the correlated and uncorrelated parts of the electric potential using the Poisson equation. In the case of sufficiently small electric fields, a linear expansion of the chemical potential in terms of deviation of the charge concentration from the homogeneous distribution is considered. In final calculations the correlation between particles is taken into account in the approximation of the first neighbors. In this approximation the potential and charge concentration distribution is described by a linear differential equation of the fourth order. The results of its analytical solution and subsequent numerical calculations for the characteristics of solid electrolyte are analyzed.

Author Biographies

Heorhi S. Bokun, Belarusian State Technological University, 13a Sviardlova Street, Minsk 220630, Belarus

PhD (physics and mathematics); associate professor at the department of mechanics and design, faculty of СhTiT

Dung Di Caprio, National Graduate School of Chemistry, 11 Pierre and Marie Curie Street, Paris 75005, France

PhD (philosophy); researcher

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Published
2019-02-03
Keywords: solid electrolytes, shielded potential, short-range interaction, free energy functional, electric capacitance
Supporting Agencies The authors acknowledge financial support from the Belarusian Republican Foundation for Fundamental Research (grant No. Ф16К-061), the Ministry of Education of Belarus and the European Union’s Horizon-2020 research and innovation programme under the Marie Skłodowska-Curie (grant agreement No. 73427 CONIN)
How to Cite
Bokun, H. S., & Di Caprio, D. (2019). Potential and charge-carrier concentration distributions in solid electrolyte between flat electrodes. Journal of the Belarusian State University. Physics, 2, 71-80. Retrieved from https://journals.bsu.by/index.php/physics/article/view/488
Issue
No 2 (2018): Journal of the Belarusian State University. Physics
Section
Condensed State Physics

Copyright (c) 2018 Journal of the Belarusian State University. Physics

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