To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach
Kinetic equations for the dielectric properties of CsH₂PO₄ type ferroelectrics are derived within the nonequilibrium statistical operator method proposed by D.N.Zubarev. These equations are solved with two different approaches. In the first approach the closure relation in the spirit of a two-site c...
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| Дата: | 1998 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
1998
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119892 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach / R.R. Levitskii, I.R. Zachek, R.O. Sokolovskii // Condensed Matter Physics. — 1998. — Т. 1, № 4(16). — С. 849-872. — Бібліогр.: 52 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1198922017-06-11T03:03:49Z To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach Levitskii, R.R. Zachek, I.R. Sokolovskii, R.O. Kinetic equations for the dielectric properties of CsH₂PO₄ type ferroelectrics are derived within the nonequilibrium statistical operator method proposed by D.N.Zubarev. These equations are solved with two different approaches. In the first approach the closure relation in the spirit of a two-site cluster approximation is used. In the second approach the exact relation between the static correlation functions is extrapolated to a dynamic case and used as a closure relation. The both approaches give similar results. The obtained dynamic characteristics are close to those of the Glauber model and are shown to describe the dynamic dielectric permittivity of CsH₂PO₄ and CsD₂PO₄ crystals. В рамках методу нерівноважного статистичного оператора Д.М.Зубарєва виведені кінетичні рівняння для діелектричних характеристик сегнетоелектриків типу CsD₂PO₄. Ці рівняння розв’язані в наближенні двочастинкового кластера та шляхом розщеплення ланцюжка рівнянь для функцій розподілу. Обидва методи дають близькі результати. Показано, що розраховані динамічні характеристики є близькими до тих, що отримуються в рамках кінетичної моделі Глаубера та дозволяють описати динамічну діелектричну проникність кристалів CsH₂PO₄ і CsD₂PO₄. 1998 Article To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach / R.R. Levitskii, I.R. Zachek, R.O. Sokolovskii // Condensed Matter Physics. — 1998. — Т. 1, № 4(16). — С. 849-872. — Бібліогр.: 52 назв. — англ. 1607-324X DOI:10.5488/CMP.1.4.849 PACS: 64.60.Cn http://dspace.nbuv.gov.ua/handle/123456789/119892 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Kinetic equations for the dielectric properties of CsH₂PO₄ type ferroelectrics are derived within the nonequilibrium statistical operator method proposed by D.N.Zubarev. These equations are solved with two different approaches. In the first approach the closure relation in the spirit of a two-site
cluster approximation is used. In the second approach the exact relation
between the static correlation functions is extrapolated to a dynamic case
and used as a closure relation. The both approaches give similar results.
The obtained dynamic characteristics are close to those of the Glauber
model and are shown to describe the dynamic dielectric permittivity of
CsH₂PO₄ and CsD₂PO₄ crystals. |
| format |
Article |
| author |
Levitskii, R.R. Zachek, I.R. Sokolovskii, R.O. |
| spellingShingle |
Levitskii, R.R. Zachek, I.R. Sokolovskii, R.O. To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach Condensed Matter Physics |
| author_facet |
Levitskii, R.R. Zachek, I.R. Sokolovskii, R.O. |
| author_sort |
Levitskii, R.R. |
| title |
To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach |
| title_short |
To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach |
| title_full |
To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach |
| title_fullStr |
To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach |
| title_full_unstemmed |
To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach |
| title_sort |
to the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. nonequilibrium statistical operator approach |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
1998 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119892 |
| citation_txt |
To the theory of relaxation phenomena in quasi-one-dimensional ferroelectrics with hydrogen bonds. Nonequilibrium statistical operator approach / R.R. Levitskii, I.R. Zachek, R.O. Sokolovskii // Condensed Matter Physics. — 1998. — Т. 1, № 4(16). — С. 849-872. — Бібліогр.: 52 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
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2023-10-18T20:35:41Z |
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2023-10-18T20:35:41Z |
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