Existence of time evolutions of non-equilibrium states in statistical mechanics

DOI10.1007/BF00250910zbMath0557.60088MaRDI QIDQ761711

A. E. Hurd

Publication date: 1984

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

statistical mechanicsnon-standard analysisinfinite system phase space

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Nonstandard models (03H99)

Related Items (2)

The allure of infinitesimals: Sergio Albeverio and nonstandard analysis ⋮ Global existence and validity for the BBGKY hierarchy

Cites Work

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• A non-standard approach to the Boltzmann equation
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• Random fields
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• The classical mechanics of one-dimensional systems of infinitely many particles. I: An existence theorem
• Superstable interactions in classical statistical mechanics
• Nonstandard Analysis and Lattice Statistical Mechanics: A Variational Principle
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Time evolution of large classical systems
• A Nonstandard Characterization of Weak Convergence

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