Nonequilibrium statistical operator method in the Renyi statistics

TL;DR

This paper extends the nonequilibrium statistical operator method to Renyi statistics, deriving generalized transport equations and demonstrating their application to kinetic and hydrodynamic processes in interacting particle systems.

Contribution

It introduces a novel generalization of the Zubarev method using Renyi entropy, providing a new framework for nonequilibrium statistical mechanics.

Findings

Derived generalized transport equations for Renyi statistics.

Applied the method to kinetic and hydrodynamic processes.

Provided a consistent description of interacting particle systems.

Abstract

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