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

SPhD

Asymptotic Behavior of Green's Functions in the Viscous Hydrodynamic Approximation for the Statistical Mechanics of Quantum Systems

Б. И. Садовников

Published Jan 1, 1967• 0 citations
OpenAlex

Related papers

Low-frequency asymptotic behavior of the Green's functions of degenerate Bose systems (kinetic approximation)

В П Скрыпник, V. S. Shchelokov

Theoretical and Mathematical Physics•Feb 1, 1981•0 citations

Problem of a Hydrodynamical Approximation for the Green's Functions of a Superfluid Bose System

V. A. Krasnikov

SPhD•Dec 1, 1967•0 citations

Analytic properties of the time green functions in the statistical mechanics of many-body systems

M. Revzen, Lynn E. H. Trainor

Physics Letters•Nov 1, 1962•0 citations

Hydrodynamization and nonequilibrium Green’s functions in kinetic theory

Syo Kamata, Mauricio Martínez, Philip Plaschke +2 more

Nonequilibrium Green's functions provide an efficient way to describe the evolution of the energy-momentum tensor during the early-time preequilibrium stage of high-energy heavy-ion collisions. Besides their practical relevance they also provide a meaningful way to address the question when and to what extent a hydrodynamic description of the system becomes applicable. Within the kinetic theory framework we derive a new method to calculate time-dependent nonequilibrium Green's functions describing the evolution of energy and momentum perturbations on top of an evolving far-from-equilibrium background. We discuss the approach toward viscous hydrodynamics along with the emergence of various scaling phenomena for conformal systems. By comparing our results obtained in the relaxation time approximation to previous calculations in Yang-Mills kinetic theory, we further address the question which macroscopic features of the energy-momentum tensor are sensitive to the underlying microscopic dynamics.

arXiv:2004.06751•Physical review. D/Physical review. D.•Sep 3, 2020•45 citations

Kubo formulae for first-order spin hydrodynamics

Jin Chun Hu

We derive Kubo formulae for first-order spin hydrodynamics based on nonequilibrium statistical operators method. In first-order spin hydrodynamics, there are two new transport coefficients besides the ordinary ones appearing in first-order viscous hydrodynamics. They emerge due to the incorporation of the spin degree of freedom into fluids and the spin-orbital coupling. Zubarev's nonequilibrium statistical operator method can be well applied to investigate these quantum effects in fluids. The Kubo formulae, based on the method of nonequilibrium statistical operators, are related to equilibrium (imaginary-time) infrared Green's functions, and all the transport coefficients can be determined when the microscopic theory is specified.

arXiv:2101.08440•Physical review. D/Physical review. D.•Jun 21, 2021•34 citations

On the Hydrodynamic Approximation of Quantum Integrable Models

Huebner, Friedrich

•Sep 1, 2025•0 citations
Nonequilibrium Green's functions provide an efficient way to describe the evolution of the energy-momentum tensor during the early-time preequilibrium stage of high-energy heavy-ion collisions. Besides their practical relevance they also provide a meaningful way to address the question when and to what extent a hydrodynamic description of the system becomes applicable. Within the kinetic theory framework we derive a new method to calculate time-dependent nonequilibrium Green's functions describing the evolution of energy and momentum perturbations on top of an evolving far-from-equilibrium background. We discuss the approach toward viscous hydrodynamics along with the emergence of various scaling phenomena for conformal systems. By comparing our results obtained in the relaxation time approximation to previous calculations in Yang-Mills kinetic theory, we further address the question which macroscopic features of the energy-momentum tensor are sensitive to the underlying microscopic dynamics.
We derive Kubo formulae for first-order spin hydrodynamics based on nonequilibrium statistical operators method. In first-order spin hydrodynamics, there are two new transport coefficients besides the ordinary ones appearing in first-order viscous hydrodynamics. They emerge due to the incorporation of the spin degree of freedom into fluids and the spin-orbital coupling. Zubarev's nonequilibrium statistical operator method can be well applied to investigate these quantum effects in fluids. The Kubo formulae, based on the method of nonequilibrium statistical operators, are related to equilibrium (imaginary-time) infrared Green's functions, and all the transport coefficients can be determined when the microscopic theory is specified.