Irreversibility in the derivation of the Boltzmann equation

DOI10.1007/s10701-017-0072-9zbMath1371.82085OpenAlexW2547084433MaRDI QIDQ2363277

Vincent Ardourel

Publication date: 13 July 2017

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

Full work available at URL: http://philsci-archive.pitt.edu/12592/1/Ardourel_Irreversibility_Boltzmann_09_2016.pdf

zbMATH Keywords

Boltzmann equationirreversibilityBoltzmann-Grad limittime-reversal invarianceLanford's theoremStoßzahlansatz

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

Related Items (4)

The Kac ring or the art of making idealisations ⋮ On the Boltzmann-Grad limit for smooth hard-sphere systems ⋮ Emergent pseudo time-irreversibility in the classical many-body system of pair interacting particles ⋮ Macroscopic irreversibility and decay to kinetic equilibrium of the 1-body PDF for finite hard-sphere systems

Cites Work

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• From Newton to Boltzmann: hard spheres and short-range potentials
• Boltzmann's H-theorem, its discontents, and the birth of statistical mechanics
• The mathematical theory of dilute gases
• Lanford's theorem and the emergence of irreversibility
• The approach towards equilibrium in Lanford's theorem
• Time evolution of large classical systems
• On the kinetic theory of rarefied gases

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