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The continuity properties of the radial distribution function g(r) and its close relative the cavity function y(r) ≡ $$e^{\phi (r)/k_B T} g(r)$$ are studied in the context of the Percus–Yevick (PY) integral equation for 3D square-well fluids. The cases corresponding to a well width (λ−1)σ equal to a fraction of the diameter of the hard core σ/m, with m=1, 2, 3, have been considered. In these...
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