  The width of the distribution of species in a polydisperse system is employed
in a small-variable expansion, to obtain a well-controlled and compact scheme
by which to calculate phase equilibria in multi-phase systems. General and
universal relations are derived, which determine the partitioning of the fluid
components among the phases. The analysis applies to mixtures of arbitrarily
many slightly-polydisperse components. An explicit solution is approximated for
hard spheres.
