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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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2018
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/157468 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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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