Mathematics – Logic
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976mnras.174..241f&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 174, Feb. 1976, p. 241-251.
Mathematics
Logic
23
Astronomical Models, Big Bang Cosmology, Correlation, Gravitational Effects, Star Clusters, Bbgky Hierarchy, Coupling Coefficients, Galactic Evolution, Kinetic Energy, Kinetic Equations, Star Distribution
Scientific paper
A systematic approach to kinetic theory in homogeneous Newtonian cosmologies is presented, based on a correlational picture of the cosmological principle. The compatibility of this approach with the more usual fluctuational picture is demonstrated by a derivation of the Layzer-Irvine equation from the BBGKY hierarchy. A kinetic-like equation, including the effects of collisions in the weak-coupling approximation, is derived for the single-particle distribution describing an expanding universe. This equation differs from the standard equation in the adjunction to each binary interaction operator of an expansion factor, so that the effective interaction may be considered time dependent. It predicts the production of kinetic and thus also of correlational energy, in agreement with the fluctuational picture of cosmological clustering, where they can be compared.
Fall Michael S.
Severne George
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