Nonclassical critical behavior of the square-well fluid. II. The specific-heat functionCvand its exponentα

The Yvon-Born-Green (YBG) theory with Kirkwood superposition is used to determine the critical exponent $\alpha$ for a square-well fluid, where $C_v\sim {|T-T_c|}^{-\alpha } \mathrm{and} T>\mathrm{}{T}_c$. The value obtained, $\alpha =0.30\mathrm{}\pm 0.01$, when taken in conjunction with the exponents $\gamma$, $\beta$, and $\delta$ determined previously by the authors, is found to be consistent with the two inequalities that involve all four exponents. Finally, as was reported earlier by investigators using the Percus-Yevick theory, extrema in $C_v$ are found in the stable fluid region using the YBG theory.