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Scientific article
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English

Kinetic Theory beyond the Stosszahlansatz

Published inEntropy, vol. 19, no. 8, 381
Publication date2017
Abstract

In a recent paper (Chliamovitch, et al., 2015), we suggested using the principle of maximum entropy to generalize Boltzmann's Stosszahlansatz to higher-order distribution functions. This conceptual shift of focus allowed us to derive an analog of the Boltzmann equation for the two-particle distribution function. While we only briefly mentioned there the possibility of a hydrodynamical treatment, we complete here a crucial step towards this program. We discuss bilocal collisional invariants, from which we deduce the two-particle stationary distribution. This allows for the existence of equilibrium states in which the momenta of particles are correlated, as well as for the existence of a fourth conserved quantity besides mass, momentum and kinetic energy.

Keywords
  • Kinetic theory
  • Non-equilibrium statistical mechanics
  • Maximum entropy principle
Citation (ISO format)
CHLIAMOVITCH, Gregor, MALASPINAS, Orestis Pileas, CHOPARD, Bastien. Kinetic Theory beyond the Stosszahlansatz. In: Entropy, 2017, vol. 19, n° 8, p. 381. doi: 10.3390/e19080381
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Article (Published version)
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ISSN of the journal1099-4300
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