From formal logic to statistical mechanics

DOI10.1016/0034-4877(93)90062-JzbMath0810.03053OpenAlexW2032067704MaRDI QIDQ1340755

Alfred Wehrl

Publication date: 24 April 1995

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(93)90062-j

zbMATH Keywords

Boltzmann equationnonstandard analysiskinetic theorystatistical mechanicshyperreal numbersCarleman model

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Foundations of equilibrium statistical mechanics (82B03) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Cites Work

• On the Carleman's model for the Boltzmann equation and its generalizations
• Global solutions of Boltzmann's equation and the entropy inequality
• The decay of solutions of the Carleman model
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