English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The behavior of fluids in the vicinity of the liquid-gas critical point isstudied within the cell fluid model framework. The analytic method for derivingthe equation of state of a cell fluid model in the low-temperature region(T<Tc) is developed using the renormalization group transformation within thecollective variables approach. Mathematical description within the grandcanonical ensemble is illustrated by an example of the Morse interactionpotential possessing the Fourier transform. A specific feature of the proposedmethod lies in the possibility to use exclusively microscopic characteristicsof a fluid (parameters of the interaction potential) for calculatingmacroscopic quantities (pressure and other thermodynamic quantities) withoutinvolving the hard-spheres reference system. The grand partition function,thermodynamic potential, and equation of state of the model near the criticalpoint are derived taking into account the non-Gaussian (quartic) distributionof order parameter fluctuations. A nonlinear equation, which links the densityand the chemical potential, is presented and solved. Graphs of the dependenceof the density on the chemical potential are plotted for various values of therelative temperature. The numerical estimates of the critical-point parametersfor potassium, obtained in addition to the estimates for sodium, are given. Thecalculated critical-point parameters for liquid alkali metals (sodium andpotassium) are in accord with experimental data. The coexistence curve forsodium is plotted and compared with other authors' data in the immediatevicinity of Tc, where theoretical and experimental researches are difficult tocarry out. The differences between the obtained results and the earlierpublished results for T>Tc are discussed.

Fluid critical behavior at liquid-gas phase transition: Analytic method for microscopic description