  The statistical model of Chase and Mekjian, which offers an analytic solution
for the canonical ensemble of non-interacting fragments, is investigated for
it's thermodynamic behavior. Various properties of the model, which exhibits a
first-order phase transition, are studied. The effects of finite particle
number are investigated. Three extensions of the model are considered, excluded
volume, Coulomb effects and inclusion of isospin degrees of freedom. A
formulation of a microcanonical version of the model is also presented.
