Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte
A solid ionic conductor with cation conductivity in the interelectrode region is studied. Due to their large size, the anions are considered fixed and form a homogeneous neutralizing electric background. The model can be used to describe properties of ceramic conductors. For a statistical mechanical...
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Institute for Condensed Matter Physics
2022-06-01
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| Series: | Condensed Matter Physics |
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| Online Access: | https://doi.org/10.5488/CMP.25.23501 |
| _version_ | 1828803534742618112 |
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| author | I. Kravtsiv G. Bokun M. Holovko N. Prokopchuk D. di Caprio |
| author_facet | I. Kravtsiv G. Bokun M. Holovko N. Prokopchuk D. di Caprio |
| author_sort | I. Kravtsiv |
| collection | DOAJ |
| description | A solid ionic conductor with cation conductivity in the interelectrode region is studied. Due to their large size, the anions are considered fixed and form a homogeneous neutralizing electric background. The model can be used to describe properties of ceramic conductors. For a statistical mechanical description of such systems, which are characterized by short-range Van der Waals interactions and long-range Coulomb interactions, an approach combining the collective variables method and the method of mean cell potentials is used. This formalism was applied in our previous work [Bokun G., Kravtsiv I., Holovko M., Vikhrenko V., di Caprio D., Condens. Matter Phys., 2019, 29, 3351] to a homogeneous state and in the present work is extended to an inhomogeneous case induced by an external electric field. As a result, mean cell potentials become functionals of the density field and can be described by a closed system of integral equations. We investigate the solution of this problem in the lattice approximation and study charge and electric field distributions in the interelectrode region as functions of plate electrode charges. The differential electric capacitance is subsequently calculated and discussed. |
| first_indexed | 2024-12-12T07:23:59Z |
| format | Article |
| id | doaj.art-ac2aa00965fa4b60aa8829aba05525c9 |
| institution | Directory Open Access Journal |
| issn | 1607-324X 2224-9079 |
| language | English |
| last_indexed | 2024-12-12T07:23:59Z |
| publishDate | 2022-06-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-ac2aa00965fa4b60aa8829aba05525c92022-12-22T00:33:12ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2224-90792022-06-012522350110.5488/CMP.25.23501Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyteI. KravtsivG. BokunM. HolovkoN. ProkopchukD. di CaprioA solid ionic conductor with cation conductivity in the interelectrode region is studied. Due to their large size, the anions are considered fixed and form a homogeneous neutralizing electric background. The model can be used to describe properties of ceramic conductors. For a statistical mechanical description of such systems, which are characterized by short-range Van der Waals interactions and long-range Coulomb interactions, an approach combining the collective variables method and the method of mean cell potentials is used. This formalism was applied in our previous work [Bokun G., Kravtsiv I., Holovko M., Vikhrenko V., di Caprio D., Condens. Matter Phys., 2019, 29, 3351] to a homogeneous state and in the present work is extended to an inhomogeneous case induced by an external electric field. As a result, mean cell potentials become functionals of the density field and can be described by a closed system of integral equations. We investigate the solution of this problem in the lattice approximation and study charge and electric field distributions in the interelectrode region as functions of plate electrode charges. The differential electric capacitance is subsequently calculated and discussed.https://doi.org/10.5488/CMP.25.23501ceramic conductorsmean potentialslattice approximationcollective variables methodpair distribution functionchemical potential |
| spellingShingle | I. Kravtsiv G. Bokun M. Holovko N. Prokopchuk D. di Caprio Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte Condensed Matter Physics ceramic conductors mean potentials lattice approximation collective variables method pair distribution function chemical potential |
| title | Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte |
| title_full | Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte |
| title_fullStr | Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte |
| title_full_unstemmed | Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte |
| title_short | Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte |
| title_sort | charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte |
| topic | ceramic conductors mean potentials lattice approximation collective variables method pair distribution function chemical potential |
| url | https://doi.org/10.5488/CMP.25.23501 |
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