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

Physica A Statistical Mechanics and its Applications

On Markovian kinetic equations: Zubarev's nonequilibrium statistical operator approach

J. Łuczka

Published Mar 1, 1988• 9 citations
Publisher
DOI
10.1016/0378-4371(88)90218-x

Related papers

Perturbation theory and integral equations for nonequilibrium statistical operators

D. N. Zubarev, В. П. Калашников

Theoretical and Mathematical Physics•Dec 1, 1970•21 citations

Markovian kinetic equations in a nonequilibrium statistical ensemble formalism

Justino R. Madureira, Aurea Rosas Vasconcellos, Roberto Luzzi +1 more

The nonlinear quantum kinetic theory for many-body systems either near or far from equilibrium that a nonequilibrium ensemble formalism provides is revisited. In this communication we consider an important limit of such transport equations, consisting of the memoryless approximation, which leads to the so-called Markovian kinetic equations. They are derived in Zubarev's approach to the method, and next applied to a particular model of a spin system in interaction with a thermal bath of lattice vibrations. The limitations of the approach, as well as some criticism it has received, are discussed.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Mar 1, 1998•55 citations

NONEQUILIBRIUM GREEN'S FUNCTIONS AND THE METHOD OF NONEQUILIBRIUM STATISTICAL OPERATOR

V. G. Morozov, GERD RÖPKE

International Conference on Progress in Nonequilibrium Green's Functions (PNGF)•May 1, 2000•0 citations

Non-Markovian Kinetic Equations with Selfenergy

M. Bönitz

Springer eBooks•Nov 17, 2015•0 citations

Memory Effects and Nonequilibrium Correlations in the Dynamics of Open Quantum Systems

V. G. Morozov

We propose a systematic approach to the dynamics of open quantum systems in the framework of Zubarev’s nonequilibrium statistical operator method. The approach is based on the relation between ensemble means of the Hubbard operators and the matrix elements of the reduced statistical operator of an open quantum system. This key relation allows deriving master equations for open systems following a scheme conceptually identical to the scheme used to derive kinetic equations for distribution functions. The advantage of the proposed formalism is that some relevant dynamical correlations between an open system and its environment can be taken into account. To illustrate the method, we derive a non-Markovian master equation containing the contribution of nonequilibrium correlations associated with energy conservation.

Theoretical and Mathematical Physics•Jan 1, 2018•9 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
The nonlinear quantum kinetic theory for many-body systems either near or far from equilibrium that a nonequilibrium ensemble formalism provides is revisited. In this communication we consider an important limit of such transport equations, consisting of the memoryless approximation, which leads to the so-called Markovian kinetic equations. They are derived in Zubarev's approach to the method, and next applied to a particular model of a spin system in interaction with a thermal bath of lattice vibrations. The limitations of the approach, as well as some criticism it has received, are discussed.
We propose a systematic approach to the dynamics of open quantum systems in the framework of Zubarev’s nonequilibrium statistical operator method. The approach is based on the relation between ensemble means of the Hubbard operators and the matrix elements of the reduced statistical operator of an open quantum system. This key relation allows deriving master equations for open systems following a scheme conceptually identical to the scheme used to derive kinetic equations for distribution functions. The advantage of the proposed formalism is that some relevant dynamical correlations between an open system and its environment can be taken into account. To illustrate the method, we derive a non-Markovian master equation containing the contribution of nonequilibrium correlations associated with energy conservation.