Елементи μ-числення та термодинамiка моделi μ-бозе-газу
We review on and give some further details about the thermodynamical properties of the µ-Bose gas model (arXiv:1309.1363) introduced by us recently. This model was elaborated in connection with µ-deformed oscillators. Here, we present the necessary concepts and tools from the so-called µ-calculus. F...
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ujp2-article-20184022019-03-11T08:47:54Z Elements of µ-Calculus and Thermodynamics of µ-Bose Gas Model Елементи μ-числення та термодинамiка моделi μ-бозе-газу Rebesh, A. P. Kachurik, I. I. Gavrilik, A. M. deformed oscillators deformed analogs of the Bose gas model µ-calculus equation of state virial coefficients critical temperature specific heat entropy We review on and give some further details about the thermodynamical properties of the µ-Bose gas model (arXiv:1309.1363) introduced by us recently. This model was elaborated in connection with µ-deformed oscillators. Here, we present the necessary concepts and tools from the so-called µ-calculus. For the high temperatures, we obtain the virial expansion of the equation of state, as well as five virial coefficients. In the regime of low temperatures, the critical temperature of condensation is inferred. We also obtain the specific heat, internal energy, and entropy for a µ-Bose gas for both low and high temperatures. All thermodynamical functions depend on the deformation parameter µ. The dependences of the entropy and the specific heat on the deformation parameter are visualized. На основi μ-деформованих осциляторiв розроблено деформований аналог моделi бозе-газу (μ-бозе-газ). В рамках нової моделi в режимi низьких температур ми отримали вiрiальний розклад рiвняння стану, а також першi п’ять вiрiальних коефiцiєнтiв; в режимi низьких температур обчислено критичну температуру конденсацiї. Ми також отримали питому теплоємнiсть, внутрiшню енергiю та ентропiю для μ-бозе-газу у випадках низьких та високих температур. Усi термодинамiчнi функцiї виявилися залежними вiд параметра деформацiї. Дослiджено залежнiсть питомої теплоємностi вiд параметра деформацiї. Publishing house "Academperiodika" 2018-10-11 Article Article Peer-reviewed application/pdf https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018402 10.15407/ujpe58.12.1182 Ukrainian Journal of Physics; Vol. 58 No. 12 (2013); 1182 Український фізичний журнал; Том 58 № 12 (2013); 1182 2071-0194 2071-0186 10.15407/ujpe58.12 en https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018402/392 Copyright (c) 2018 Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine |
| institution |
Ukrainian Journal of Physics |
| baseUrl_str |
|
| datestamp_date |
2019-03-11T08:47:54Z |
| collection |
OJS |
| language |
English |
| topic_facet |
deformed oscillators deformed analogs of the Bose gas model µ-calculus equation of state virial coefficients critical temperature specific heat entropy |
| format |
Article |
| author |
Rebesh, A. P. Kachurik, I. I. Gavrilik, A. M. |
| spellingShingle |
Rebesh, A. P. Kachurik, I. I. Gavrilik, A. M. Елементи μ-числення та термодинамiка моделi μ-бозе-газу |
| author_facet |
Rebesh, A. P. Kachurik, I. I. Gavrilik, A. M. |
| author_sort |
Rebesh, A. P. |
| title |
Елементи μ-числення та термодинамiка моделi μ-бозе-газу |
| title_short |
Елементи μ-числення та термодинамiка моделi μ-бозе-газу |
| title_full |
Елементи μ-числення та термодинамiка моделi μ-бозе-газу |
| title_fullStr |
Елементи μ-числення та термодинамiка моделi μ-бозе-газу |
| title_full_unstemmed |
Елементи μ-числення та термодинамiка моделi μ-бозе-газу |
| title_sort |
елементи μ-числення та термодинамiка моделi μ-бозе-газу |
| title_alt |
Elements of µ-Calculus and Thermodynamics of µ-Bose Gas Model |
| description |
We review on and give some further details about the thermodynamical properties of the µ-Bose gas model (arXiv:1309.1363) introduced by us recently. This model was elaborated in connection with µ-deformed oscillators. Here, we present the necessary concepts and tools from the so-called µ-calculus. For the high temperatures, we obtain the virial expansion of the equation of state, as well as five virial coefficients. In the regime of low temperatures, the critical temperature of condensation is inferred. We also obtain the specific heat, internal energy, and entropy for a µ-Bose gas for both low and high temperatures. All thermodynamical functions depend on the deformation parameter µ. The dependences of the entropy and the specific heat on the deformation parameter are visualized. |
| publisher |
Publishing house "Academperiodika" |
| publishDate |
2018 |
| url |
https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018402 |
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2025-10-02T01:14:37Z |
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2025-10-02T01:14:37Z |
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