Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Condensed Matter Physics

A consistent description of kinetics and hydrodynamics of quantum Bose-systems

Petro A. Hlushak, М. В. Токарчук

Published Jan 1, 2004• 4 citations
Publisher

Abstract

A consistent approach to the description of kinetics and hydrodynamics of many-Boson systems is proposed.The generalized transport equations for strongly and weakly nonequilibrium Bose systems are obtained.Here we use the method of nonequilibrium statistical operator by D.N. Zubarev.New equations for the time distribution function of the quantum Bose system with a separate contribution from both the kinetic and potential energies of particle interactions are obtained.The generalized transport coefficients are determined accounting for the consistent description of kinetic and hydrodynamic processes.

DOI
10.5488/cmp.7.3.639

Related papers

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

Hlushak, М. В. Токарчук

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.

arXiv:1301.0481•Condensed Matter Physics•Jan 1, 2014•4 citations

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

Petro A. Hlushak, М. В. Токарчук

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.

arXiv:1112.5849•Dec 26, 2011•0 citations

Kinetic equations for Bose systems taking into account hydrodynamical processes

Petro A. Hlushak, М. В. Токарчук

Using the method of non-equilibrium statistical Zubarev operator an approach to the description of kinetics taking into account the nonlinear hydrodynamic fluctuations for quantum Bose system is proposed. The non-equilibrium statistical operator that consistently describes both the kinetic and nonlinear hydrodynamic fluctuations in quantum liquid is calculated. A kinetic equation for the non-equilibrium one-particle distribution function and generalized Fokker-Planck equation for non-equilibrium distribution function of hydrodynamic variables: densities of momentum, energy and particle numbers are obtained. A structural function of hydrodynamic fluctuations in cumulant representation is calculated. It provides a possibility to analyzing the generalized Fokker-Planck equation in Gaussian and higher approximations for dynamic correlations of hydrodynamic variables that is important to describe the quantum turbulent processes. The generalized Gross-Pitaevkii equation for the order parameter which takes into account nonlinear hydrodynamic fluctuations is obtained.

•Jan 3, 2013•0 citations

Transport equations of a consistent description of the kinetics and hydrodynamics of dense quantum systems. I: General approach within the frame of nonequilibrium thermo field dynamics

М. В. Токарчук, Alexander E. Kobryn

We present basic equations of nonequilibrium thermo field dynamics of dense quantum systems. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev. Generalized transfer and hydrodynamic equations of a consistent description of kinetics and hydrodynamics have been obtained in thermo field representation. To demonstrate how obtained results do work at the description of kinetics and hydrodynamics of a dense nuclear matter we consider quantum system with strongly coupled states.

arXiv:nucl-th/9908008•Aug 3, 1999•0 citations

Unification of Thermo Field Kinetic and Hydrodynamics Approaches in the Theory of Dense Quantum–Field Systems

М. В. Токарчук, Petro A. Hlushak

A formulation of nonequilibrium thermo-field dynamics has been performed using the nonequilibrium statistical operator method by D.N. Zubarev. Generalized transfer equations for a consistent description of the kinetics and hydrodynamics of the dense quantum field system with strongly-bound states are derived.

Particles•Dec 21, 2018•3 citations

THERMO FIELD HYDRODYNAMIC AND KINETIC EQUATIONS OF DENSE QUANTUM NUCLEAR SYSTEMS

Tokarchuk, Arimitsu, Kobryn

Basic equations of nonequilibrium thermo field dynamics of dense quantum systems are presented.A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev.Hydrodynamic equations have been obtained in thermo field representation.Two levels of the description of kinetics and hydrodynamics of a dense nuclear matter are considered.The first one is a quantum system with strongly coupled states, the second one is a quarkgluon plasma.Generalized transfer equations of a consistent description of kinetics and hydrodynamics have been obtained, as well as limiting cases are considered.

Condensed Matter Physics•Jan 1, 1998•7 citations
A consistent approach to the description of kinetics and hydrodynamics of many-Boson systems is proposed.The generalized transport equations for strongly and weakly nonequilibrium Bose systems are obtained.Here we use the method of nonequilibrium statistical operator by D.N. Zubarev.New equations for the time distribution function of the quantum Bose system with a separate contribution from both the kinetic and potential energies of particle interactions are obtained.The generalized transport coefficients are determined accounting for the consistent description of kinetic and hydrodynamic processes.
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.
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.
Using the method of non-equilibrium statistical Zubarev operator an approach to the description of kinetics taking into account the nonlinear hydrodynamic fluctuations for quantum Bose system is proposed. The non-equilibrium statistical operator that consistently describes both the kinetic and nonlinear hydrodynamic fluctuations in quantum liquid is calculated. A kinetic equation for the non-equilibrium one-particle distribution function and generalized Fokker-Planck equation for non-equilibrium distribution function of hydrodynamic variables: densities of momentum, energy and particle numbers are obtained. A structural function of hydrodynamic fluctuations in cumulant representation is calculated. It provides a possibility to analyzing the generalized Fokker-Planck equation in Gaussian and higher approximations for dynamic correlations of hydrodynamic variables that is important to describe the quantum turbulent processes. The generalized Gross-Pitaevkii equation for the order parameter which takes into account nonlinear hydrodynamic fluctuations is obtained.
We present basic equations of nonequilibrium thermo field dynamics of dense quantum systems. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev. Generalized transfer and hydrodynamic equations of a consistent description of kinetics and hydrodynamics have been obtained in thermo field representation. To demonstrate how obtained results do work at the description of kinetics and hydrodynamics of a dense nuclear matter we consider quantum system with strongly coupled states.
Basic equations of nonequilibrium thermo field dynamics of dense quantum systems are presented.A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev.Hydrodynamic equations have been obtained in thermo field representation.Two levels of the description of kinetics and hydrodynamics of a dense nuclear matter are considered.The first one is a quantum system with strongly coupled states, the second one is a quarkgluon plasma.Generalized transfer equations of a consistent description of kinetics and hydrodynamics have been obtained, as well as limiting cases are considered.