A statistical thermodynamics theory of polydisperse polymer blends bas
ed on a lattice model description of a fluid is formulated. Characteri
zation of a binary polydisperse polymer mixture requires a knowledge o
f the pure polymer system and the interaction energy. It is assumed th
at the intrinsic and interactive properties of polymer (for example, T
, P*, rho*, and epsilon(ij)*) are independent of molecular size. Ther
modynamic properties of ternary and higher order mixtures are complete
ly defined in terms of the pure fluid polymer parameters and the binar
y interaction energies. Thermodynamic stability criteria for the phase
transitions of a binary mixture are shown. The binodal and spinodal o
f general binary systems and of special binary systems are discussed.