Kinetic Theory beyond the Stosszahlansatz
AbstractIn 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. View Full-Text
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Chliamovitch, G.; Malaspinas, O.; Chopard, B. Kinetic Theory beyond the Stosszahlansatz. Entropy 2017, 19, 381.
Chliamovitch G, Malaspinas O, Chopard B. Kinetic Theory beyond the Stosszahlansatz. Entropy. 2017; 19(8):381.Chicago/Turabian Style
Chliamovitch, Gregor; Malaspinas, Orestis; Chopard, Bastien. 2017. "Kinetic Theory beyond the Stosszahlansatz." Entropy 19, no. 8: 381.
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