Property of mixing of continuous classical systems with strong superstable interactions
We consider an infinite system of point particles in $R^d$, interacting via a strong superstable two-body potential $\phi$ of finite range with radius $R$. In the language of correlation functions, we obtain a simple proof of decrease in correlations between two clusters (two groups of variables) t...
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| Дата: | 2017 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2017
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1760 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We consider an infinite system of point particles in $R^d$, interacting via a strong superstable two-body potential $\phi$ of finite
range with radius $R$. In the language of correlation functions, we obtain a simple proof of decrease in correlations between
two clusters (two groups of variables) the distance between which is larger than the radius of interaction. The established
result is true for sufficiently small values of activity of the particles. |
|---|