# Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes

Source: [Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes](<https://www.sota2.com/research/paper/68fa2d781e209131ce85970b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T16:16:07.276Z

Authors: P. A. Hlushak, M. V. Tokarchuk

Published: 2013-01-03T15:20:30.000Z

## Abstract

Using the method of nonequilibrium statistical operator by Zubarev, an approach is proposed for the description of kinetics which takes into account the nonlinear hydrodynamic fluctuations for a quantum Bose system. Non-equilibrium statistical operator is presented which consistently describes both the kinetic and nonlinear hydrodynamic processes. Both a kinetic equation for the nonequilibrium one-particle distribution function and a generalized Fokker-Planck equation for nonequilibrium distribution function of hydrodynamic variables (densities of momentum, energy and particle number) are obtained. A structure function of hydrodynamic fluctuations in cumulant representation is calculated, which makes it possible to analyse the generalized Fokker-Planck equation in Gaussian and higher approximations of the dynamic correlations of hydrodynamic variables which is important in describing the quantum turbulent processes.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1301.0481>)

[PDF](<https://arxiv.org/pdf/1301.0481.pdf>)