Phase transition in an exactly solvable model of interacting bosons
In the formalism of the grand canonical ensemble, we study a model system of a lattice Bose gas with repulsive hard-core interaction on a perfect graph. We show that the corresponding ideal system may undergo a phase transition (Bose-Einstein condensation). For a system of interacting particles, we...
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| Date: | 1997 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4997 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511191350116352 |
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| author | Gorunovich, V. V. Горунович, В. В. Горунович, В. В. |
| author_facet | Gorunovich, V. V. Горунович, В. В. Горунович, В. В. |
| author_sort | Gorunovich, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:22:31Z |
| description | In the formalism of the grand canonical ensemble, we study a model system of a lattice Bose gas with repulsive hard-core interaction on a perfect graph. We show that the corresponding ideal system may undergo a phase transition (Bose-Einstein condensation). For a system of interacting particles, we obtain an explicit expression for pressure in the thermodynamic limit. The analysis of this expression demonstrates that the phase transition does not take place in the indicated system. |
| first_indexed | 2026-03-24T03:08:58Z |
| format | Article |
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| id | umjimathkievua-article-4997 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:08:58Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1f/134ebba67a22a6708ad9682eedc74b1f.pdf |
| spelling | umjimathkievua-article-49972020-03-18T21:22:31Z Phase transition in an exactly solvable model of interacting bosons О фазовом переходе в одной точно решаемой модели взаимодействующих бозонов Gorunovich, V. V. Горунович, В. В. Горунович, В. В. In the formalism of the grand canonical ensemble, we study a model system of a lattice Bose gas with repulsive hard-core interaction on a perfect graph. We show that the corresponding ideal system may undergo a phase transition (Bose-Einstein condensation). For a system of interacting particles, we obtain an explicit expression for pressure in the thermodynamic limit. The analysis of this expression demonstrates that the phase transition does not take place in the indicated system. У формалізмі великого канонічного ансамблю розглядається модельна система — ґратчастий бозе-газ із відштовхуючою взаємодією типу твердих серцевин на досконалому графі. Показано, що у відповідній ідеальній системі є фазовий перехід (конденсація Бозе - Ейнштейна). Для системи взаємодіючих частинок у термодинамічній границі одержано явний вираз для тиску, аналіз якого показує, що фазовий перехід у такій системі ие відбувається. Institute of Mathematics, NAS of Ukraine 1997-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4997 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 2 (1997); 196–205 Український математичний журнал; Том 49 № 2 (1997); 196–205 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4997/6693 https://umj.imath.kiev.ua/index.php/umj/article/view/4997/6694 Copyright (c) 1997 Gorunovich V. V. |
| spellingShingle | Gorunovich, V. V. Горунович, В. В. Горунович, В. В. Phase transition in an exactly solvable model of interacting bosons |
| title | Phase transition in an exactly solvable model of interacting bosons |
| title_alt | О фазовом переходе в одной точно решаемой модели взаимодействующих бозонов |
| title_full | Phase transition in an exactly solvable model of interacting bosons |
| title_fullStr | Phase transition in an exactly solvable model of interacting bosons |
| title_full_unstemmed | Phase transition in an exactly solvable model of interacting bosons |
| title_short | Phase transition in an exactly solvable model of interacting bosons |
| title_sort | phase transition in an exactly solvable model of interacting bosons |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4997 |
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