On the Critical Region of a Simple Fluid. II. Scaling-Law Equation of State
- 1 February 1971
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 54 (3) , 895-897
- https://doi.org/10.1063/1.1675016
Abstract
The scaling‐law equation of state is used to illustrate some consequences of the elementary index inequalities β + γ − > 1 > α − + β . It is shown that (∂ 2 P / ∂T 2 ) V evaluated on the phase boundary below T c from the homogeneous‐phase side diverges with index (α + β) , where α is the (scaling‐law) index for C V=V c . Also, it is shown that C P=P c diverges with index [1 − (1 / δ)] on the critical isobar, where δ is the degree of the critical isotherm.Keywords
This publication has 10 references indexed in Scilit:
- On the Critical Region of a Simple Fluid. I. Two Elementary Index InequalitiesThe Journal of Chemical Physics, 1971
- Scaling Analysis of Thermodynamic Properties in the Critical Region of Fluids.Journal of Research of the National Bureau of Standards Section A: Physics and Chemistry, 1969
- Renormalization of Critical Exponents by Hidden VariablesPhysical Review B, 1968
- The theory of equilibrium critical phenomenaReports on Progress in Physics, 1967
- Thermodynamic Functions for Fluids and Ferromagnets near the Critical PointPhysical Review B, 1967
- Thermodynamic Properties of a van der Waals Fluid, Particularly Near the Critical PointPhysical Review Letters, 1966
- Equation of State in the Neighborhood of the Critical PointThe Journal of Chemical Physics, 1965
- Deviations from van der Waals Behavior on the Critical IsobarThe Journal of Chemical Physics, 1964
- Critical Point in Liquid-Gas TransitionsPhysical Review Letters, 1964
- Relation between Isotherms and Coexistence Curve in the Critical RegionThe Journal of Chemical Physics, 1955