Stability and Dissipation of Many Components’ LC Systems and Application to Metamaterials
Dykhne’s method, based on rotational symmetry of two-dimensional equations of constant direct current, was applied to study the properties of the medium, consisting of reactances—of inductors and capacitors (nondissipative elements). The exact solution for the 4-component system consisting of the tw...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Condensed Matter Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/8963839 |
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| author | Valeriy E. Arkhincheev |
| author_facet | Valeriy E. Arkhincheev |
| author_sort | Valeriy E. Arkhincheev |
| collection | DOAJ |
| description | Dykhne’s method, based on rotational symmetry of two-dimensional equations of constant direct current, was applied to study the properties of the medium, consisting of reactances—of inductors and capacitors (nondissipative elements). The exact solution for the 4-component system consisting of the two different types of 2 inductors and 2 capacitors, randomly placed and connected, was obtained. The obtained solution for investigated system has the two features: (1) the finite dissipation in the nondissipative system of inductors and capacitors; (2) appearance of plateau—the constant value of effective conductivity in a wide range of concentrations of components. The obtained results were useful for description of composite metamaterials. |
| format | Article |
| id | doaj-art-73afbce1d33543c3aa2c5dc944f9a62d |
| institution | Kabale University |
| issn | 1687-8108 1687-8124 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Condensed Matter Physics |
| spelling | doaj-art-73afbce1d33543c3aa2c5dc944f9a62d2025-08-20T03:33:50ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242017-01-01201710.1155/2017/89638398963839Stability and Dissipation of Many Components’ LC Systems and Application to MetamaterialsValeriy E. Arkhincheev0Theoretical Physics Research Group, Ton Duc Thang University, Ho Chi Minh City, VietnamDykhne’s method, based on rotational symmetry of two-dimensional equations of constant direct current, was applied to study the properties of the medium, consisting of reactances—of inductors and capacitors (nondissipative elements). The exact solution for the 4-component system consisting of the two different types of 2 inductors and 2 capacitors, randomly placed and connected, was obtained. The obtained solution for investigated system has the two features: (1) the finite dissipation in the nondissipative system of inductors and capacitors; (2) appearance of plateau—the constant value of effective conductivity in a wide range of concentrations of components. The obtained results were useful for description of composite metamaterials.http://dx.doi.org/10.1155/2017/8963839 |
| spellingShingle | Valeriy E. Arkhincheev Stability and Dissipation of Many Components’ LC Systems and Application to Metamaterials Advances in Condensed Matter Physics |
| title | Stability and Dissipation of Many Components’ LC Systems and Application to Metamaterials |
| title_full | Stability and Dissipation of Many Components’ LC Systems and Application to Metamaterials |
| title_fullStr | Stability and Dissipation of Many Components’ LC Systems and Application to Metamaterials |
| title_full_unstemmed | Stability and Dissipation of Many Components’ LC Systems and Application to Metamaterials |
| title_short | Stability and Dissipation of Many Components’ LC Systems and Application to Metamaterials |
| title_sort | stability and dissipation of many components lc systems and application to metamaterials |
| url | http://dx.doi.org/10.1155/2017/8963839 |
| work_keys_str_mv | AT valeriyearkhincheev stabilityanddissipationofmanycomponentslcsystemsandapplicationtometamaterials |