Abstract
Using the analytic solution of the mean spherical approximation (MSA) for a three-dimensional fluid of particles with hard-sphere cores plus pairwise attractive potentials of Yukawa form, we calculate some critical exponents characterizing the liquid–gas transition. From the compressibility equation of state, we find the expected three-dimensional spherical-model exponents (η=0, γ=2, δ=5); in contrast, classical exponents follow from the virial and energy equations of state. Our analysis illuminates the mechanism responsible for the quite different Percus–Yevick (PY) adhesive hard-sphere results found by others, and leads us to conclude that for the potential we consider here the PY exponents will be the same as those found here for the MSA. The results are all fully consistent with the general conclusions that emerged from earlier studies of Ornstein–Zernike systems by one of us.
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