Nonequilibrium statistical operator method in Renyi statistics

The generalization of the Zubarev nonequilibrium statistical operator (NSO) method for the case of Renyi statistics is proposed when the relevant statistical operator (or distribution function) is obtained based on the maximum entropy principle for the Renyi entropy. The nonequilibrium statistical operator and corresponding generalized transport equations for the reduced-description parameters are obtained. A consistent description of the kinetic and hydrodynamic processes in a system of interacting particles is considered as an example.