Про особливості термодинамічних властивостей ідеа-льного бозе-газу при скінченному числі частинок

The paper is devoted to the theory of an ideal Bose-gas with a finite number N of particles. The exact expressions for the partition functions and occupation numbers of the model in the grand canonical, canonical, and microcanonical ensembles are found. From the calculations, it is followed that, op...

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Збережено в:
Бібліографічні деталі
Дата:2022
Автори: Bugrij, A.I., Loktev, V.M.
Формат: Стаття
Мова:English
Опубліковано: Publishing house "Academperiodika" 2022
Теми:
Онлайн доступ:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2022414
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Назва журналу:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Резюме:The paper is devoted to the theory of an ideal Bose-gas with a finite number N of particles. The exact expressions for the partition functions and occupation numbers of the model in the grand canonical, canonical, and microcanonical ensembles are found. From the calculations, it is followed that, oppositely to the accepted opinion that the chemical potential μ of an ideal Bose-gas is only negative, it can take values in the range −∞ < μ < ∞. The asymptotic expressions (in the case N ≫ 1) for the partition functions and occupation numbers for all above-mentioned thermodynamic ensembles are also evaluated.