Form of Nonequilibrium Statistical Operator, Thermodynamic Flows and Entropy Production

Nonequilibrium statistical operator (NSO) in the form suggested by Zubarev is represented as an averaging operation of the quasiequilibrium statistical operator over the distribution of the lifetime of the system. The form of the density function of the system lifetime affects all its non-equilibrium characteristics. In general, we consider the situation when the distribution density of the system lifetime depends on the current time moment. In the expressions for the fluxes and entropy production additional terms appear in comparison to the expressions derived from Zubarev’s NSO. These additional terms can be obtained by applying the principle of maximum entropy.