ISSN:
1572-9613
Keywords:
Kinetic equations
;
collision integral
;
symmetry transformations
;
power-law spectra
;
coalescence
;
galaxay clusters
;
star clusters
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01017859
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