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The recently proposed universal relations between the moments of thepolydispersity distributions of a phase-separated weakly polydisperse systemare analyzed in detail using the numerical results obtained by solving a simpledensity functional theory of a polydisperse fluid. It is shown that universalproperties are the exception rather than the rule.Comment: 10 pages, 2 figures, to appear in PR

Density functional theory of phase coexistence in weakly polydisperse fluids