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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...

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Detalles Bibliográficos
Autores principales: De Simone, Andrea, Maggiore, Michele, Riotto, Antonio
Formato: info:eu-repo/semantics/article
Lenguaje:eng
Publicado: Mon. Not. R. Astron. Soc. 2010
Materias:
Acceso en línea:https://dx.doi.org/10.1111/j.1365-2966.2010.18078.x
http://cds.cern.ch/record/1277454
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author De Simone, Andrea
Maggiore, Michele
Riotto, Antonio
author_facet De Simone, Andrea
Maggiore, Michele
Riotto, Antonio
author_sort De Simone, Andrea
collection CERN
description 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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spelling cern-12774542023-03-15T19:12:00Z doi:10.1111/j.1365-2966.2010.18078.x http://cds.cern.ch/record/1277454 eng De Simone, Andrea Maggiore, Michele Riotto, Antonio Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions Astrophysics and Astronomy 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. 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. info:eu-repo/grantAgreement/EC/FP7/237920 info:eu-repo/semantics/openAccess Education Level info:eu-repo/semantics/article http://cds.cern.ch/record/1277454 Mon. Not. R. Astron. Soc. Mon. Not. R. Astron. Soc., 4 (2011) pp. 2587-2602 2010-07-13
spellingShingle Astrophysics and Astronomy
De Simone, Andrea
Maggiore, Michele
Riotto, Antonio
Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
title Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
title_full Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
title_fullStr Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
title_full_unstemmed Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
title_short Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
title_sort excursion set theory for generic moving barriers and non-gaussian initial conditions
topic Astrophysics and Astronomy
url https://dx.doi.org/10.1111/j.1365-2966.2010.18078.x
http://cds.cern.ch/record/1277454
http://cds.cern.ch/record/1277454
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