학술논문

Geometrical aspect of susceptibility critical exponent
Document Type
Working Paper
Author
Source
Front. Phys. 10:850296 (2022)
Subject
Condensed Matter - Statistical Mechanics
Language
Abstract
Critical exponent $\gamma \succeq 1.1$ characterizes behavior of the mechanical susceptibility of a real fluid when 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 state suffer from a weakness that the Gaussian curvature of the critical point is negative definite instead of zero.
Comment: 4 pages, 1 figure