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Электронный каталог: Yukalov, V. I. - Ordering in Statistical Systems on the Way to the Thermodynamic Limit
Yukalov, V. I. - Ordering in Statistical Systems on the Way to the Thermodynamic Limit
Статья
Автор: Yukalov, V. I.
Journal of Statistical Physics: Ordering in Statistical Systems on the Way to the Thermodynamic Limit
б.г.
ISBN отсутствует
Автор: Yukalov, V. I.
Journal of Statistical Physics: Ordering in Statistical Systems on the Way to the Thermodynamic Limit
б.г.
ISBN отсутствует
На полку
Статья
Yukalov, V.I.
Ordering in Statistical Systems on the Way to the Thermodynamic Limit / V.I.Yukalov, E.P.Yukalova. – Text : electronic // Journal of Statistical Physics. – 2025. – Vol. 192, No. 11. – P. 158. – URL: https://doi.org/10.1007/s10955-025-03539-1. – Bibliogr.: 67.
It is well known that the mathematically accurate description of ordering and related symmetry breaking in statistical systems requires to consider the thermodynamic limit. But the order does not appear from nowhere, and yet before the thermodynamic limit is reached, there should exist some kind of preordering that appears and grows in the process of increasing the system size. The quantitative description of growing order, under the growing system size, is developed by introducing the notion of order indices. The rigorous proof of the phase transition existence is a separate difficult problem that is not the topic of the present paper. We illustrate the approach resorting to several models in the mean-field approximation, which makes it possible to demonstrate the notion of order indices for finite systems in a clear way. We show how the order grows on the way to the thermodynamic limit for Bose-Einstein condensation, arising superconductivity, magnetization, and crystallization phenomena.
ОИЯИ = ОИЯИ (JINR)2025
Спец.(статьи,препринты) = С 325.4 - Нелинейные системы. Хаос и синергетика. Фракталы$
Спец.(статьи,препринты) = С 326.2 - Бозе-системы. Сверхтекучесть
Спец.(статьи,препринты) = С 326.4 - Коллективные эффекты. Сверхизлучение. Квантовая оптика. Эффект Холла
Бюллетени = 13/026
Yukalov, V.I.
Ordering in Statistical Systems on the Way to the Thermodynamic Limit / V.I.Yukalov, E.P.Yukalova. – Text : electronic // Journal of Statistical Physics. – 2025. – Vol. 192, No. 11. – P. 158. – URL: https://doi.org/10.1007/s10955-025-03539-1. – Bibliogr.: 67.
It is well known that the mathematically accurate description of ordering and related symmetry breaking in statistical systems requires to consider the thermodynamic limit. But the order does not appear from nowhere, and yet before the thermodynamic limit is reached, there should exist some kind of preordering that appears and grows in the process of increasing the system size. The quantitative description of growing order, under the growing system size, is developed by introducing the notion of order indices. The rigorous proof of the phase transition existence is a separate difficult problem that is not the topic of the present paper. We illustrate the approach resorting to several models in the mean-field approximation, which makes it possible to demonstrate the notion of order indices for finite systems in a clear way. We show how the order grows on the way to the thermodynamic limit for Bose-Einstein condensation, arising superconductivity, magnetization, and crystallization phenomena.
ОИЯИ = ОИЯИ (JINR)2025
Спец.(статьи,препринты) = С 325.4 - Нелинейные системы. Хаос и синергетика. Фракталы$
Спец.(статьи,препринты) = С 326.2 - Бозе-системы. Сверхтекучесть
Спец.(статьи,препринты) = С 326.4 - Коллективные эффекты. Сверхизлучение. Квантовая оптика. Эффект Холла
Бюллетени = 13/026
