Further Results on a Generalized van der Waals Model

A generalized van der waals model is considered to study the thermodynamic properties of pure fluids. Analytical solution of the equivalent cubic equation of state is presented and the critical properties in the general form are derived. The fluctuations of number of particles are calculated in the...

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Bibliographic Details
Published inInternational journal of thermophysics Vol. 43; no. 11
Main Author Amin, Magdy E
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2022
Springer Nature B.V
Subjects
Classical Mechanics
Condensed Matter Physics
Critical point
Cubic equations
Dimensionless numbers
Equations of state
Exact solutions
Geophysics
Industrial Chemistry/Chemical Engineering
Kurtosis
Physical Chemistry
Physics
Physics and Astronomy
Thermodynamic properties
Thermodynamics
Fluctuation phenomena
Statistical models
Critical point phenomena
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Summary:A generalized van der waals model is considered to study the thermodynamic properties of pure fluids. Analytical solution of the equivalent cubic equation of state is presented and the critical properties in the general form are derived. The fluctuations of number of particles are calculated in the grand canonical ensemble by using three quantities (scaled variance ω ( N ) , skewness S σ , and kurtosis k σ 2 ). The critical behavior of these quantities is investigated in terms of the dimensionless particle number density and temperature for different models. It is found that the fluctuations have a singular behavior close to the critical point.
ISSN:0195-928X
1572-9567
DOI:10.1007/s10765-022-03090-1