The Nonequilibrium Statistical Operator Method, constructed on the bas
is of a generalized Gibbs-Boltzmann ensemble formalism, is gaining pro
minence as an approach to problems in statistical mechanics of nonequi
librium and nonlinear (dissipative) systems. In this paper, we conside
r the case of a generalized nonequilibrium grand-canonical ensemble. B
esides the traditional densities of energy and particle number, this c
onstruction requires the introduction of the associated nonconserving
dissipative fluxes of all orders. (C) 1998 Elsevier Science B.V. All r
ights reserved.