Physics
Scientific paper
Mar 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phdt........33m&link_type=abstract
Thesis (PH.D.)--PRINCETON UNIVERSITY, 1982.Source: Dissertation Abstracts International, Volume: 42-10, Section: B, page: 4093.
Physics
Scientific paper
A set of differential equations is derived which describes the evolution of a rich cluster of galaxies over relaxation time scales. Two physical processes are included. Equipartition of orbital kinetic energy, due to gravitational two-body encounters, is computed from the isotropic, orbit-averaged Fokker-Planck equation. tidal stripping of galaxies with massive haloes is approximated by the cross-sections of Richstone. The fraction of cluster mass in the "background" is allowed to increase with time as the galaxies are stripped; the energy of the background also increases due to dynamical interaction with the galaxies. The equations are integrated numerically, starting from a Schechter distribution of galaxy masses. Unless most of the virial mass is initially in the background, tidal stripping tends to obscure the effects of mass segregation (though not, presumably, luminosity segregation) by rapidly depleting the core of massive galaxies. The background so produced dominates the cluster core, and is strongly concentrated to the center, falling off as r('-4) at large radii. Putting most of the mass initially in the background increases the importance of mass segregation relative to stripping; in this case the galaxy distribution develops a significantly smaller core radius than the background. Tidal stripping greatly increases dynamical friction time scales by reducing galaxy masses, and it is conceivable that the small amounts of luminosity segregation observed in rich clusters are consistent with all of the cluster mass having been originally tied to galaxies.
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