  The idea is advanced that strong perturbations of an initially equilibrium
Bose-condensed gas lead to the sequence of nonequilibrium states whose order is
inverse to the sequence of states arising in the process of the Bose-gas
relaxation from an initial nonequilibrium state. An approach is described for
constructing statistical models of nonequilibrium Bose gases. The method is
based on the averaging over heterogenous configurations of a nonequilibrium
system. A statistical model of grain turbulence is suggested. A simple model is
analyzed consisting of a mixture of two phases, one gauge symmetric and the
other with broken gauge symmetry.
