A current algebra approach to the equilibrium classical statistical mechanics and its applications
The non-relativistic current algebra approach is analyzed subject to its application to studying the distribution functions of many-particle systems at the temperature equilibrium and their stability properties. We show that the classical Bogolubov generating functional method is a very effective to...
Збережено в:
| Дата: | 2013 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2013
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120805 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A current algebra approach to the equilibrium classical statistical mechanics and its applications / N. Bogolubov, A. Prykarpatsky // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23702:1-13. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-120805 |
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dspace |
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irk-123456789-1208052017-06-14T03:04:18Z A current algebra approach to the equilibrium classical statistical mechanics and its applications Bogolubov, N. Prykarpatsky, A. The non-relativistic current algebra approach is analyzed subject to its application to studying the distribution functions of many-particle systems at the temperature equilibrium and their stability properties. We show that the classical Bogolubov generating functional method is a very effective tool for constructing the irreducible current algebra representations and the corresponding different generalized measure expansions including collective variables transform. The effective Hamiltonian operator construction and its spectrum peculiarities subject to the stability of equilibrium many-particle systems are discussed. Аналiзується пiдхiд до вивчення функцiй розподiлу систем багатьох частинок при рiвноважнiй температурi та властивостi їх стабiльностi, що ґрунтується на представленнях нерелятивiстичної алгебри струмiв. Показано, що метод породжуючого функцiї розподiлу класичного функцiоналу Боголюбова є досить ефективним iнструментом для побудови незвiдних представлень алгебри струмiв та вiдповiдних узагальнених розкладiв мiр, включаючи вiдоме перетворення до колективних змiнних. Запропонована конструкцiя ефективного оператора Гамiльтона, обговорюються особливостi його спектра в залежностi вiд стiйкостi рiвноваги систем багатьох частинок. 2013 Article A current algebra approach to the equilibrium classical statistical mechanics and its applications / N. Bogolubov, A. Prykarpatsky // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23702:1-13. — Бібліогр.: 18 назв. — англ. 1607-324X PACS: 73.21.Fg, 73.63.Hs, 78.67.De DOI:10.5488/CMP.16.23702 arXiv:1307.3867 http://dspace.nbuv.gov.ua/handle/123456789/120805 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 |
The non-relativistic current algebra approach is analyzed subject to its application to studying the distribution functions of many-particle systems at the temperature equilibrium and their stability properties. We show that the classical Bogolubov generating functional method is a very effective tool for constructing the irreducible current algebra representations and the corresponding different generalized measure expansions including collective variables transform. The effective Hamiltonian operator construction and its spectrum peculiarities subject to the stability of equilibrium many-particle systems are discussed. |
| format |
Article |
| author |
Bogolubov, N. Prykarpatsky, A. |
| spellingShingle |
Bogolubov, N. Prykarpatsky, A. A current algebra approach to the equilibrium classical statistical mechanics and its applications Condensed Matter Physics |
| author_facet |
Bogolubov, N. Prykarpatsky, A. |
| author_sort |
Bogolubov, N. |
| title |
A current algebra approach to the equilibrium classical statistical mechanics and its applications |
| title_short |
A current algebra approach to the equilibrium classical statistical mechanics and its applications |
| title_full |
A current algebra approach to the equilibrium classical statistical mechanics and its applications |
| title_fullStr |
A current algebra approach to the equilibrium classical statistical mechanics and its applications |
| title_full_unstemmed |
A current algebra approach to the equilibrium classical statistical mechanics and its applications |
| title_sort |
current algebra approach to the equilibrium classical statistical mechanics and its applications |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120805 |
| citation_txt |
A current algebra approach to the equilibrium classical statistical mechanics and its applications / N. Bogolubov, A. Prykarpatsky // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23702:1-13. — Бібліогр.: 18 назв. — англ. |
| series |
Condensed Matter Physics |
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2023-10-18T20:38:12Z |
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2023-10-18T20:38:12Z |
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1796150715582775296 |