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До розрахунку великої статистичної суми моделi плину
The calculation method of the grand partition function of a simple fluid model in the frame of a generalized lattice model, where each cell may contain a random number of particles, is proposed. As an interaction potential between particles, the Morse potential is chosen. In vcourse of calculations,...
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Publishing house "Academperiodika"
2019
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ujp2-article-20192032019-04-14T18:47:37Z Concerning a Calculation of the Grand Partition Function of a Fluid Model До розрахунку великої статистичної суми моделi плину Kozlovskii, M. P. Dobush, O. A. Romanik, R. V. coexistence curve collective variables reference system simple fluid equation of state - The calculation method of the grand partition function of a simple fluid model in the frame of a generalized lattice model, where each cell may contain a random number of particles, is proposed. As an interaction potential between particles, the Morse potential is chosen. In vcourse of calculations, the summation over the number of particles and the integration over their coordinates are performed. Using the simplest approximation, the equation of state valid in a wide temperature range is obtained. At temperatures lower than the critical one, the presence of horizontal plots on the pressure vs density curve is found. Запропоновано спосiб розрахунку великої статистичної суми моделi простого плину в рамках узагальненої ґраткової моделi, в кожному з вузлiв якої може перебувати довiльна кiлькiсть частинок. В ролi потенцiалу взаємодiї мiж частинками використано потенцiал Морзе. У процесi розрахунку виконано пiдсумовування за числом частинок та iнтегрування за їхнiми координатами. У найпростiшому наближеннi отримано рiвняння стану, яке справедливе для широкого дiапазону температур. Для температур, нижчих, нiж критична, встановлено наявнiсть горизонтальних дiлянок на кривiй залежностi тиску вiд густини. Publishing house "Academperiodika" 2019-01-15 Article Article Peer-reviewed application/pdf https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019203 10.15407/ujpe60.08.0808 Ukrainian Journal of Physics; Vol. 60 No. 8 (2015); 805 Український фізичний журнал; Том 60 № 8 (2015); 805 2071-0194 2071-0186 10.15407/ujpe60.08 en https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019203/1173 Copyright (c) 2019 Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine |
| institution |
Ukrainian Journal of Physics |
| collection |
OJS |
| language |
English |
| topic |
coexistence curve collective variables reference system simple fluid equation of state - |
| spellingShingle |
coexistence curve collective variables reference system simple fluid equation of state - Kozlovskii, M. P. Dobush, O. A. Romanik, R. V. До розрахунку великої статистичної суми моделi плину |
| topic_facet |
coexistence curve collective variables reference system simple fluid equation of state - |
| format |
Article |
| author |
Kozlovskii, M. P. Dobush, O. A. Romanik, R. V. |
| author_facet |
Kozlovskii, M. P. Dobush, O. A. Romanik, R. V. |
| author_sort |
Kozlovskii, M. P. |
| title |
До розрахунку великої статистичної суми моделi плину |
| title_short |
До розрахунку великої статистичної суми моделi плину |
| title_full |
До розрахунку великої статистичної суми моделi плину |
| title_fullStr |
До розрахунку великої статистичної суми моделi плину |
| title_full_unstemmed |
До розрахунку великої статистичної суми моделi плину |
| title_sort |
до розрахунку великої статистичної суми моделi плину |
| title_alt |
Concerning a Calculation of the Grand Partition Function of a Fluid Model |
| description |
The calculation method of the grand partition function of a simple fluid model in the frame of a generalized lattice model, where each cell may contain a random number of particles, is proposed. As an interaction potential between particles, the Morse potential is chosen. In vcourse of calculations, the summation over the number of particles and the integration over their coordinates are performed. Using the simplest approximation, the equation of state valid in a wide temperature range is obtained. At temperatures lower than the critical one, the presence of horizontal plots on the pressure vs density curve is found. |
| publisher |
Publishing house "Academperiodika" |
| publishDate |
2019 |
| url |
https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019203 |
| work_keys_str_mv |
AT kozlovskiimp concerningacalculationofthegrandpartitionfunctionofafluidmodel AT dobushoa concerningacalculationofthegrandpartitionfunctionofafluidmodel AT romanikrv concerningacalculationofthegrandpartitionfunctionofafluidmodel AT kozlovskiimp dorozrahunkuvelikoístatističnoísumimodeliplinu AT dobushoa dorozrahunkuvelikoístatističnoísumimodeliplinu AT romanikrv dorozrahunkuvelikoístatističnoísumimodeliplinu |
| first_indexed |
2023-03-24T08:57:32Z |
| last_indexed |
2023-03-24T08:57:32Z |
| _version_ |
1795757671160217600 |