Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions

Autor: De Simone, Andrea, Maggiore, Michele, Riotto, Antonio Walter
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Mon. Not. R. Astron. Soc., 4 (2011) pp. 2587-2602
Monthly Notices of the Royal Astronomical Society, Vol. 412, No 4 (2011) pp. 2587-2602
ISSN: 0035-8711
Popis: Excursion set theory, where density perturbations evolve stochastically with the smoothing scale, provides a method for computing the mass function of cosmological structures like dark matter halos, sheets and filaments. The computation of these mass functions is mapped into the so-called first-passage time problem in the presence of a moving barrier. In this paper we use the path integral formulation of the excursion set theory developed recently to analytically solve the first-passage time problem in the presence of a generic moving barrier, in particular the barrier corresponding to ellipsoidal collapse. We perform the computation for both Gaussian and non-Gaussian initial conditions. The expression of the halo mass function for the ellipsoidal collapse barrier and with non-Gaussianity is therefore obtained in a fully consistent way and it does not require the introduction of any form factor artificially derived from the Press-Schechter formalism based on the spherical collapse and usually adopted in the literature.
17 pages, 7 figures. Minor corrections to match the version published in MNRAS
Databáze: OpenAIRE
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