Crossover parametric equation of state for Ising-like systems
- 26 July 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (2) , 026125
- https://doi.org/10.1103/physreve.64.026125
Abstract
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 near its vapor-liquid critical point.
Keywords
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