Physics
Scientific paper
Jan 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jsp....38..217v&link_type=abstract
Journal of Statistical Physics, Volume 38, Issue 1-2, pp. 217-229
Physics
7
Kinetic Equations, Collision Integral, Symmetry Transformations, Power-Law Spectra, Coalescence, Galaxay Clusters, Star Clusters
Scientific paper
We consider steady-state mass distributions (mass functions) attained at the nonlinear stage of fragmentation as a result of fragment coalescence. The influence of the fragment velocity distribution on the mass function is discussed. The kinetic equations governing the fragments “quasiparticles” are solved using the group symmetry properties of the collision integral. We have calculated power indices and locations of the breaking points for the mss spectrum (luminosity function) associated with the transition from the collisionless Lynden-Bell type to the Maxwellian distribution, as well as with the predominance of either purely geometric or Newtonian collision cross sections. The power indices found are in a reasonable agreement with the values observed for star or galaxy clusters.
Kats Alexandre V.
Kontorovich Victor M.
Vinokurov L. I.
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