Abstract
Various statistical concepts related to random variables are directly applicable to the modelling of continuous mixtures. The number, the thermodynamic nature and the unary or binary character of the possible distributed variables are reviewed. A statistical-mechanical thermodynamic formalism for polydisperse fluids is presented, the starting point for which is the distribution of the differences of the chemical potentials of the species to that of an arbitrarily chosen component. In the case of narrow distributions, the thermodynamic properties of the mixture can be related to those of the pure most abundant component, plus correction terms in powers of the variance of the distribution.
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