Abstract
A scaling-theory approach that yields the scaled thermodynamics in the critical region as the solution of an ordinary differential equation is given, along with a power-series “isocline” representation of the solution yielding a polynomial fit of a high accuracy. A means of extending the approach to the whole liquid-state region through a self-consistent integral equation for the radial distribution function is discussed. An alternative integral-equation approach and a simple application of scaling-theory results that has already been found to be globally useful are also noted.
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Høye, J.S., Stell, G. Toward a liquid-state theory with accurate critical-region behavior. Int J Thermophys 6, 561–571 (1985). https://doi.org/10.1007/BF00500329
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DOI: https://doi.org/10.1007/BF00500329