Abstract:
The problem of the equivalence of the canonical and grand canonical ensembles for nonideal Bose systems is considered for the example of three exactly solvable models, each of which undergoes a phase transition with the formation of a Bose condensate. It is shown that violation of the statistical (strong) equivalence of the ensembles is not a simple consequence of Bose condensation and equivalence is restored by changing the kind of the phase transition.