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Understanding the Cosmic Mass Function High-Mass Behavior
Author(s) -
J. BetancortRijo,
Antonio D. Montero-Dorta
Publication year - 2006
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/507702
Subject(s) - cosmic cancer database , physics , function (biology) , center of mass (relativistic) , limit (mathematics) , center (category theory) , astrophysics , work (physics) , ellipsoid , statistical physics , classical mechanics , mathematical analysis , mathematics , astronomy , quantum mechanics , chemistry , energy–momentum relation , evolutionary biology , biology , crystallography
We claim that the discrepancy found between theoretical predictions for thecosmic mass function and those found in numerical simulations is due to thefact that in deriving the former all mass elements are assumed to be at thecenter of the object they belong to (the all-mass-at-center problem). By anappropriate treatment of this problem, using the spherical collapse model(which is not a bad approximation in the high mass limit), we obtain both thehigh mass behaviour found in simulations and the true assymptotic behaviour ofthe mass function (for arbitrarily high masses). Therefore, we conclude that bycombining ellipsoidal dynamics with a suitable treatment of theall-mass-at-center problem (that we will show in a follow up work) atheoretical prediction for the cosmic mass function in full agreement withsimulations may be obtained.Comment: 4 pages, 2 figures, ApJ letters Accepte

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