Modified kinetic theory of Bose systems taking into account slow hydrodynamical processes

TL;DR

This paper develops a modified kinetic theory for quantum Bose systems that incorporates slow hydrodynamical processes, providing a unified description of kinetic and hydrodynamic fluctuations.

Contribution

It introduces a nonequilibrium statistical operator that simultaneously describes kinetic behavior and nonlinear hydrodynamic fluctuations in quantum liquids.

Findings

Derived coupled equations for quantum distribution functions and hydrodynamic variables.

Unified framework for kinetic and hydrodynamic processes in Bose systems.

Enhanced understanding of large-scale transport phenomena in quantum liquids.

Abstract

An approach to the description of kinetics which taking into account the large-scale hydrodynamic transport processes for quantum Bose system is proposed. The nonequilibrium statistical operator which consistently describes both the kinetic and nonlinear hydrodynamic fluctuations in quantum liquid is calculated. Using this operator the coupled equations for quantum one-particle distribution function and functional of hydrodynamic variables: densities of momentum, energies and number of particles are obtained.