Related Experiment Video
Updated: Dec 31, 2025

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
Published on: September 17, 2021
Scaling Analysis of Thermodynamic Properties in the Critical Region of Fluids
M Vicentini-Missoni1, J M H Levelt Sengers1, M S Green1
1Institute for Basic Standards, National Bureau of Standards, Washington, D.C. 20234.
Abstract:
A review of the scaled equation of state proposed for the critical region of fluids and magnets is given using the language appropriate for fluids. The experimental evidence for the validity of the basic hypothesis underlying this equation of state is discussed in detail. Experimental data in the critical regions of CO2, Xe. and He4 are then analyzed using a closed-form expression for the chemical potential as a function of density and temperature, based on scaling ideas. Agreement between the proposed equation and the experimental data is found for the three substances. The results of the scaling of Δμ, Δρ, t data are shown not to be in contradiction with the analysis, also based on scaling ideas, of independent experimental measurements of both specific heat and vapor pressure.
Related Concept Videos
Phase Diagram
Dimensional Analysis
In fluid mechanics, dimensional...
Dimensional Analysis
Dimensional analysis allows us to analyze and compare physical quantities on a...
Path Between Thermodynamics States
Clausius-Clapeyron Equation
Control Volume and System Representations
The control volume approach considers a stationary region in space through which fluid flows. This region is bounded by a control surface. For instance, in the case of water...

