Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics

DOI10.1007/BF01032069zbMath0459.76100OpenAlexW1995289069MaRDI QIDQ1152293

A. V. Prozorkevich, D. N. Zubarev, S. A. Smolyanskij

Publication date: 1980

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01032069

zbMATH Keywords

conservation lawsentropy balancenonequilibrium statistical operator methodkinetic coefficientscovariant quantum Liouville equationquantum relativistic hydrodynamicstransport relations

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Transport processes in time-dependent statistical mechanics (82C70) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

Related Items (13)

Relativistic second-order dissipative hydrodynamics from Zubarev's non-equilibrium statistical operator ⋮ Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems ⋮ Path-integral formula for local thermal equilibrium ⋮ Nonrelativistic hydrodynamics from quantum field theory. I. Normal fluid composed of spinless Schrödinger fields ⋮ Unruh effect universality: emergent conical geometry from density operator ⋮ Quantum field corrections to the equation of state of freely streaming matter in the Friedman–Lemaître–Robertson–Walker space-time ⋮ General equilibrium second-order hydrodynamic coefficients for free quantum fields ⋮ General thermodynamic equilibrium with axial chemical potential for the free Dirac field ⋮ Effects of rotation and acceleration in the axial current: density operator vs Wigner function ⋮ Fate of spin polarization in a relativistic fluid: an entropy-current analysis ⋮ Revisiting relativistic magnetohydrodynamics from quantum electrodynamics ⋮ Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: scalar field ⋮ Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation

Cites Work

• Unnamed Item
• Quantum statistics of fields and multiple production of mesons
• Lorentz transformations in phase space and in physical space
• The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid
• Relativistic thermodynamics of irreversible processes. II
• THE QUANTUM CORRECTION IN THE RADIATION BY ENERGETIC ACCELERATED ELECTRONS
• Relativistic Magnetohydrodynamics

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