On the relations between some approaches to solving the Kirkwood – Salzburg equations
UDC 517.9 This work is almost a review describing the solutions of Kirkwood – Salsburg equations for correlation functions of a large canonical ensemble. We establish analytical relations between Ruelle’s operator approach described in detail in [Статистическая механика. Строгие результаты, Мир, Мос...
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| Date: | 2021 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/6337 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.9
This work is almost a review describing the solutions of Kirkwood – Salsburg equations for correlation functions of a large canonical ensemble. We establish analytical relations between Ruelle’s operator approach described in detail in [Статистическая механика. Строгие результаты, Мир, Москва (1971)] and the approach by Minlos and Poghosyan presented in [Оценки функций Урселла, групповых функций и их производных, Теор. и мат. физика, 31, № 2, 199 – 213 (1977)]. Using methods of infinite-dimensional analysis, we suggest a more transparent description of the main results. |
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| DOI: | 10.37863/umzh.v73i3.6337 |