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Crossover parametric equation of state for Ising-like systems

Journal Article · · Physical Review E
We present a parametric equation for the thermodynamic properties in the critical region of three-dimensional Ising-like systems which include fluids and fluid mixtures. The equation of state incorporates a crossover from singular Ising behavior asymptotically close to the critical point to classical (mean-field) behavior further away from the critical point, characterized by two physical crossover parameters: a coupling constant related to the strength and range of molecular interactions and a ''cutoff'' wave number for the critical fluctuations. In the asymptotic Ising limit, the crossover equation reproduces the most recent theoretical estimates for the universal ratios of the leading and correction-to-scaling critical amplitudes. The equation has been tested by comparing it with recent experimental thermodynamic-property data for {sup 3}He near its vapor-liquid critical point.
Sponsoring Organization:
(US)
DOE Contract Number:
FG02-95ER14509
OSTI ID:
40277013
Journal Information:
Physical Review E, Journal Name: Physical Review E Journal Issue: 2 Vol. 64; ISSN 1063-651X
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English

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