Modern methods of the statistical theory of nonequilibrium processes

DOI10.1007/BF01091712zbMath0463.60089OpenAlexW2038288159MaRDI QIDQ1153620

D. N. Zubarev

Publication date: 1981

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01091712

zbMATH Keywords

Fokker-Planck equationhistorical surveykinetic equationstatistical operatornonequilibrium process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items

Balance equation and the quasitemperature of channeled particles in equilibrium ⋮ Statistical irreversible thermodynamics in the framework of Zubarev's nonequilibrium statistical operator method ⋮ Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems ⋮ Generalized transport equation with nonlocality of space-time. Zubarev's NSO method ⋮ Two stages of motion of anharmonic oscillators modeling fast particles in crystals ⋮ THEORY OF TRANSPORT PROCESSES AND THE METHOD OF THE NONEQUILIBRIUM STATISTICAL OPERATOR ⋮ Lifetime of System and Nonequilibrium Statistical Operator Method ⋮ Quantum stochastic differential equations for boson and fermion systems -- method of non-equilibrium thermo field dynamics. ⋮ Considerations of Fröhlich's Bose-Einstein-like condensation. ⋮ An information theory approach to nonlinear, nonequilibrium thermodynamics ⋮ Nonequilibrium statistical operator in the generalized molecular hydrodynamics of fluids ⋮ Generalized diffusion equation with nonlocality of space-time: Analytical and numerical analysis ⋮ Generalized diffusion equation with fractional derivatives within Renyi statistics ⋮ Statistical hydrodynamics of magnetic fluids. I: The nonequilibrium statistical operator method

Cites Work

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• Direct proof of the equivalence of two forms of the nonequilibrium statistical operator
• Construction of generalized normal solutions of kinetic equations for a mixture of gases
• Generalized transport equations in the theory of irreversible processes
• Construction of generalized hydrodynamics by the nonequilibrium statistical operator method
• Theory of Brownian motion due to fluctuations of the stress tensor of a fluid
• Hydrodynamic equations and correlation functions
• Derivation of the Boltzmann equation for a dilute, quantum-mechanical, slightly inhomogeneous gas
• Equations of Motion in Nonequilibrium Statistical Mechanics
• Generalized Mobility Theory
• Information Theory and Statistical Mechanics
• Statistical-Mechanical Theory of Transport in Fluids
• Correlation Function Method for Transport Phenomena
• Transport Coefficients from Dissipation in a Canonical Ensemble
• Note on the derivation of the Boltzmann equation from the Liouville equation
• The definition of entropy in non-equilibrium states
• Field theories with « Superconductor » solutions
• On the approach to equilibrium in quantum systems
• Gibbs vs Boltzmann Entropies
• Transport, Collective Motion, and Brownian Motion
• Memory Effects in Irreversible Thermodynamics
• Comment on the Theory of Transport Coefficients
• Derivation of the nonequilibrium statistical operator from the extremum of the information entropy
• Quantum statistics of irreversible processes
• Quantum-mechanical perturbations giving rise to a statistical transport equation
• On Quantum Theory of Transport Phenomena