Physics
Scientific paper
Jan 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990zhetf..97....3k&link_type=abstract
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0044-4510), vol. 97, Jan. 1990, p. 3-19. In Russian.
Physics
1
Active Galactic Nuclei, Galactic Evolution, Galactic Mass, Mass Distribution, Moment Distribution, Analytic Functions, Asymptotic Methods, Kinetic Equations
Scientific paper
This paper considers the exact solution of the problem of merging under the condition of conservation of mass and momentum in a statistically homogeneous galaxy system. Analytic expressions are obtained to describe asymptotic behavior pertaining to large masses, momenta, and times, and it is shown that their solutions correspond to the constancy of the merging coefficient. When the merging coefficient depends on mass, it is possible to derive a self-similar combination of variables which describes the propagation of a stationary front toward large masses. In the simplest case, the distribution asymptotics determined in this way are of the form of the Schechter (1976) functions, with parameters defined by the scales and the time of action of the 'source' which simulates the formation of the initial galaxy distribution.
Kats Alexandre V.
Kontorovich Victor M.
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