Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes
sing 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 t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2014-06-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.17.23606 |
| _version_ | 1819238705261445120 |
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| author | P.A. Hlushak M.V. Tokarchuk |
| author_facet | P.A. Hlushak M.V. Tokarchuk |
| author_sort | P.A. Hlushak |
| collection | DOAJ |
| description | sing 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. |
| first_indexed | 2024-12-23T13:40:28Z |
| format | Article |
| id | doaj.art-3046f24d419b4b929912caa6cb665d8e |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-12-23T13:40:28Z |
| publishDate | 2014-06-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-3046f24d419b4b929912caa6cb665d8e2022-12-21T17:44:53ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2014-06-011722360610.5488/CMP.17.23606Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes P.A. HlushakM.V. Tokarchuksing 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.http://dx.doi.org/10.5488/CMP.17.23606Bose systemheliumkineticshydrodynamicscorrelation functionFokker-Planck equation |
| spellingShingle | P.A. Hlushak M.V. Tokarchuk Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes Condensed Matter Physics Bose system helium kinetics hydrodynamics correlation function Fokker-Planck equation |
| title | Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes |
| title_full | Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes |
| title_fullStr | Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes |
| title_full_unstemmed | Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes |
| title_short | Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes |
| title_sort | quantum transport equations for bose systems taking into account nonlinear hydrodynamic processes |
| topic | Bose system helium kinetics hydrodynamics correlation function Fokker-Planck equation |
| url | http://dx.doi.org/10.5488/CMP.17.23606 |
| work_keys_str_mv | AT pahlushak quantumtransportequationsforbosesystemstakingintoaccountnonlinearhydrodynamicprocesses AT mvtokarchuk quantumtransportequationsforbosesystemstakingintoaccountnonlinearhydrodynamicprocesses |