Precise Determination of the Critical Exponentγfor the Yvon-Born-Green Square-Well-Potential Fluid

Abstract

Using the Yvon-Born-Green equation of state for a square-well-potential fluid, we have determined the critical exponent $\gamma$, where $K_T\propto {|T-T_c|}^{-\gamma }$ along the critical isochore, to be 1.24±0.04. This nonclassical value is consistent with the best experimental and theoretical estimates of $\gamma$ and suggests strongly that a distribution-function theory with superposition approximation can correctly describe the equation-of-state behavior of a classical fluid in the vicinity of the single-component critical point.