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...
Збережено в:
| 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 |
| Теги: |
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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
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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. |
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