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Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
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-pass...
Autores principales: | , , |
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Formato: | info:eu-repo/semantics/article |
Lenguaje: | eng |
Publicado: |
Mon. Not. R. Astron. Soc.
2010
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1111/j.1365-2966.2010.18078.x http://cds.cern.ch/record/1277454 |
Sumario: | 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. |
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