Quantum statistical derivation of the hydrodynamics of a plasma model

DOI10.1063/1.526816zbMath0624.76138OpenAlexW2000513632MaRDI QIDQ3026679

Geoffrey L. Sewell

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526816

zbMATH Keywords

initial conditionsscaling propertiesCoulomb forcesassumptions of macroscopic regularityclassical Vlasov equationJellium modelmacroscopic electrohydrodynamical equationsmany particle Schrödinger equation

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of plasmas (82D10) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (1)

Recent developments in macroscopic quantum electrodynamics

Cites Work

• The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
• Nonequilibrium measures which exhibit a temperature gradient: Study of a model
• The thermodynamic limit for jellium
• An existence theorem for the unmodified Vlasov Equation
• On the Vlasov hierarchy
• Stability of Matter. I
• A Collective Description of Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas

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