An exact analytical solution of the statistical multifragmentation model is
found in thermodynamic limit. The model exhibits a Ist order phase transit
ion of the liquid-gas type. The mixed phase region of the phase diagram, wh
ere the gas of nuclear fragments coexists with the infinite liquid condensa
te, is unambiguously identified. The peculiar thermodynamic properties of t
he model near the boundary between the mixed phase and the pure gaseous pha
se are studied. The results for the caloric curve and specific heat are pre
sented and a physical picture of the nuclear liquid-gas phase transition is
clarified. (C) 2001 Published by Elsevier Science B.V.