The equation of state of a cell fluid model in the supercritical region
The analytic method for deriving the equation of state of a cell fluid model in the region above the critical temperature (T > Tc) is elaborated using the renormalization group transformation in the collective variables set. Mathematical description with allowance for non-Gaussian fluctuations...
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| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2018
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157468 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The equation of state of a cell fluid model in the supercritical region / M.P. Kozlovskii, I.V. Pylyuk, O.A. Dobush // Condensed Matter Physics. — 2018. — Т. 21, № 4. — С. 43502: 1–26. — Бібліогр.: 29 назв. — англ. |
Репозитарії
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irk-123456789-1574682019-06-21T01:28:52Z The equation of state of a cell fluid model in the supercritical region Kozlovskii, M.P. Pylyuk, I.V. Dobush, O.A. The analytic method for deriving the equation of state of a cell fluid model in the region above the critical temperature (T > Tc) is elaborated using the renormalization group transformation in the collective variables set. Mathematical description with allowance for non-Gaussian fluctuations of the order parameter is performed in the vicinity of the critical point on the basis of the ρ⁴ model. The proposed method of calculation of the grand partition function allows one to obtain the equation for the critical temperature of the fluid model in addition to universal quantities such as critical exponents of the correlation length. The isothermal compressibility is plotted as a function of density. The line of extrema of the compressibility in the supercritical region is also represented. Використовуючи множину колективних змiнних та перетворення ренормалiзацiйної групи, розвинено аналiтичний метод розрахунку рiвняння стану комiркової моделi плину в областi вище критичної температури (T > Tc). Математичний опис з урахуванням негаусових флуктуацiй параметра порядку виконано в околi критичної точки на основi моделi ρ⁴ . Запропонований метод розрахунку великої статистичної суми дозволяє отримати, крiм унiверсальних величин, зокрема, критичних показникiв кореляцiйної довжини, рiвняння для критичної температури моделi плину. Побудовано кривi iзотермiчної стисливостi як функцiї густини. Також зображено лiнiю екстремумiв стисливостi у надкритичнiй областi. 2018 Article The equation of state of a cell fluid model in the supercritical region / M.P. Kozlovskii, I.V. Pylyuk, O.A. Dobush // Condensed Matter Physics. — 2018. — Т. 21, № 4. — С. 43502: 1–26. — Бібліогр.: 29 назв. — англ. 1607-324X PACS: 51.30.+i, 64.60.fd DOI:10.5488/CMP.21.43502 arXiv:1712.07164 http://dspace.nbuv.gov.ua/handle/123456789/157468 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The analytic method for deriving the equation of state of a cell fluid model in the region above the critical temperature (T > Tc) is elaborated using the renormalization group transformation in the collective variables set.
Mathematical description with allowance for non-Gaussian fluctuations of the order parameter is performed in
the vicinity of the critical point on the basis of the ρ⁴ model. The proposed method of calculation of the grand
partition function allows one to obtain the equation for the critical temperature of the fluid model in addition
to universal quantities such as critical exponents of the correlation length. The isothermal compressibility is
plotted as a function of density. The line of extrema of the compressibility in the supercritical region is also
represented. |
| format |
Article |
| author |
Kozlovskii, M.P. Pylyuk, I.V. Dobush, O.A. |
| spellingShingle |
Kozlovskii, M.P. Pylyuk, I.V. Dobush, O.A. The equation of state of a cell fluid model in the supercritical region Condensed Matter Physics |
| author_facet |
Kozlovskii, M.P. Pylyuk, I.V. Dobush, O.A. |
| author_sort |
Kozlovskii, M.P. |
| title |
The equation of state of a cell fluid model in the supercritical region |
| title_short |
The equation of state of a cell fluid model in the supercritical region |
| title_full |
The equation of state of a cell fluid model in the supercritical region |
| title_fullStr |
The equation of state of a cell fluid model in the supercritical region |
| title_full_unstemmed |
The equation of state of a cell fluid model in the supercritical region |
| title_sort |
equation of state of a cell fluid model in the supercritical region |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157468 |
| citation_txt |
The equation of state of a cell fluid model in the supercritical region / M.P. Kozlovskii, I.V. Pylyuk, O.A. Dobush // Condensed Matter Physics. — 2018. — Т. 21, № 4. — С. 43502: 1–26. — Бібліогр.: 29 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
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| first_indexed |
2023-05-20T17:52:09Z |
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2023-05-20T17:52:09Z |
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