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The equation of state of a cell fluid model in the supercritical region

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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Main Authors: Kozlovskii, M.P., Pylyuk, I.V., Dobush, O.A.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2018
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157468
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spelling 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
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AT dobushoa theequationofstateofacellfluidmodelinthesupercriticalregion
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first_indexed 2023-05-20T17:52:09Z
last_indexed 2023-05-20T17:52:09Z
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