Symmetry of the linearized Boltzmann equation. II: Entropy production and Onsager-Casimir relation

DOI10.1007/S10955-009-9805-2zbMath1180.82152OpenAlexW1549890704MaRDI QIDQ1040696

Shigeru Takata

Publication date: 25 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10955-009-9805-2

zbMATH Keywords

representation theoremBoltzmann equationGreen functionentropy productionOnsager-Casimir relation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (9)

Note on the relation between thermophoresis and slow uniform flow problems for a rarefied gas ⋮ Reciprocity relations in flows of a rarefied gas between plane parallel walls with nonuniform surface properties ⋮ Symmetry of the unsteady linearized Boltzmann equation in a fixed bounded domain ⋮ Comment on “Note on the relation between thermophoresis and slow uniform flow problems for a rarefied gas” [Phys. Fluids 21, 112001 (2009)] ⋮ Response to “Comment on ‘Note on the relation between thermophoresis and slow uniform flow problems for a rarefied gas’” [Phys. Fluids 22, 049101 (2010)] ⋮ Slow evaporation and condensation on a spherical droplet in the presence of a noncondensable gas ⋮ Reply to the comments of Sharipov on ``Symmetry of the linearized Boltzmann equation ⋮ Comments on ``Symmetry of the linearized Boltzmann equation by S. Takata ⋮ Inversion of the transverse force on a spinning sphere moving in a rarefied gas

Cites Work

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• Molecular gas dynamics. Theory, techniques, and applications.
• Onsager-Casimir reciprocal relations based on the Boltzmann equation and gas-surface interaction. Gaseous mixtures
• Symmetry of the linearized Boltzmann equation and its application
• Evaporation from or condensation onto a sphere: Numerical analysis of the Boltzmann equation for hard-sphere molecules
• The Boltzmann equation and its applications
• The kinetic theory of heat and mass transfer from a spherical particle in a rarefied gas
• Kinetic theory and fluid dynamics
• A classification of well-posed kinetic layer problems

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