Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble
We prove the existence of the Boltzmann-Enskog limit for an equilibrium system of hard spheres. On the basis of analysis of the Kirkwood-Salsburg equations, we show that the limit distribution functions are constants that can be represented as series in density.
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| Datum: | 1997 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5118 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511313275387904 |
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| author | Lampis, M. Petrina, D. Ya. Лампіс, М. Петрина, Д. Я. |
| author_facet | Lampis, M. Petrina, D. Ya. Лампіс, М. Петрина, Д. Я. |
| author_sort | Lampis, M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:25:05Z |
| description | We prove the existence of the Boltzmann-Enskog limit for an equilibrium system of hard spheres. On the basis of analysis of the Kirkwood-Salsburg equations, we show that the limit distribution functions are constants that can be represented as series in density. |
| first_indexed | 2026-03-24T03:10:54Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5118 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:10:54Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5e/d95aafb1c705730841058792c873195e.pdf |
| spelling | umjimathkievua-article-51182020-03-18T21:25:05Z Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble Границя Больцмана-Енскога для рівноважних станів систем пружних куль в рамках канонічного ансамблю Lampis, M. Petrina, D. Ya. Лампіс, М. Петрина, Д. Я. We prove the existence of the Boltzmann-Enskog limit for an equilibrium system of hard spheres. On the basis of analysis of the Kirkwood-Salsburg equations, we show that the limit distribution functions are constants that can be represented as series in density. Доведено існування границі Больцмана-Енскога для рівноважної системи пружних куль. На основі аналізу співвідошень Кірквуда-Зальцбурга показано, що граничні функції розподілу є константами, що виражаються рядами за густиною. Institute of Mathematics, NAS of Ukraine 1997-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5118 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 9 (1997); 1195–1205 Український математичний журнал; Том 49 № 9 (1997); 1195–1205 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5118/6932 https://umj.imath.kiev.ua/index.php/umj/article/view/5118/6933 Copyright (c) 1997 Lampis M.; Petrina D. Ya. |
| spellingShingle | Lampis, M. Petrina, D. Ya. Лампіс, М. Петрина, Д. Я. Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble |
| title | Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble |
| title_alt | Границя Больцмана-Енскога для рівноважних станів систем пружних куль в рамках канонічного ансамблю |
| title_full | Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble |
| title_fullStr | Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble |
| title_full_unstemmed | Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble |
| title_short | Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble |
| title_sort | boltzmann-enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5118 |
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