Journal Article

Excursion set theory for generic moving barriers and non-Gaussian initial conditions

Andrea De Simone, Michele Maggiore and Antonio Riotto

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 412, issue 4, pages 2587-2602
Published in print April 2011 | ISSN: 0035-8711
Published online April 2011 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2010.18078.x
Excursion set theory for generic moving barriers and non-Gaussian initial conditions

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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 haloes, 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 and for a window function which is a top-hat in wavenumber space. 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.

Keywords: cosmology: theory; large-scale structure of Universe

Journal Article.  9974 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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