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Geometrical Aspect of Compressibility Critical Exponent

Authors :
J. S. Yu
W. K. Du
Q. H. Liu
Source :
Frontiers in Physics, Vol 10 (2022)
Publication Year :
2022
Publisher :
Frontiers Media S.A., 2022.

Abstract

Critical exponent γ ⪰ 1.1 characterizes the behavior of the mechanical compressibility of a real fluid when the temperature approaches the critical one. It results in zero Gaussian curvature of the local shape of the critical point on the thermodynamic equation of state surface, which imposes a new constraint upon the construction of the potential equation of state of the real fluid from the empirical data. All known empirical equations of the state suffer from a weakness that the Gaussian curvature of the critical point is negative definite instead of zero.

Details

Language :
English
ISSN :
2296424X
Volume :
10
Database :
Directory of Open Access Journals
Journal :
Frontiers in Physics
Publication Type :
Academic Journal
Accession number :
edsdoj.1c3ba84f5f5444eb12a52acaed1a3bc
Document Type :
article
Full Text :
https://doi.org/10.3389/fphy.2022.850296