Excursion set peaks: a self-consistent model of dark halo abundances and clustering
TLDR
In this article, the authors describe how to extend the excursion set peaks framework so that its predictions of dark halo abundances and clustering can be compared directly with simulations.Abstract:
We describe how to extend the excursion set peaks framework so that its predictions of dark halo abundances and clustering can be compared directly with simulations These extensions include: a halo mass definition which uses the TopHat filter in real space; the mean dependence of the critical density for collapse δc on halo mass m; and the scatter around this mean value All three of these are motivated by the physics of triaxial rather than spherical collapse A comparison of the resulting mass function with N-body results shows that, if one uses δc(m) and its scatter as determined from simulations, then all three are necessary ingredients for obtaining ∼10 per cent accuracy For example, assuming a constant value of δc with no scatter, as motivated by the physics of spherical collapse, leads to many more massive haloes than seen in simulations The same model is also in excellent agreement with N-body results for the linear halo bias, especially at the high mass end where the traditional peak-background split argument applied to the mass function fit is known to underpredict the measured bias by ∼10 per cent In the excursion set language, our model is about walks centred on special positions (peaks) in the initial conditions – we discuss what it implies for the usual calculation in which all walks contribute to the statisticsread more
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References
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The statistics of peaks of Gaussian random fields
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Ravi K. Sheth,Giuseppe Tormen +1 more
TL;DR: In this paper, a simple model was proposed to estimate the bias of dark matter halos and their spatial distribution on large scales using the unconditional mass function, which was measured in numerical simulations of SCDM, OCDM and ΛCDM.
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Excursion set mass functions for hierarchical Gaussian fluctuations
TL;DR: In this paper, the authors proposed a solution based on the theory of the excursion sets of F(r, R sub f), the four-dimensional initial density perturbation field smoothed with a continuous hierarchy of filters of radii.
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Toward a halo mass function for precision cosmology: The Limits of universality
Jeremy L. Tinker,Andrey V. Kravtsov,Anatoly Klypin,Kevork N. Abazajian,Michael S. Warren,Gustavo Yepes,Stefan Gottlöber,Daniel E. Holz +7 more
TL;DR: In this paper, the mass function of dark matter halos is measured in a large set of collisionless cosmological simulations of flat ΛCDM cosmology and investigated its evolution at -->z 2.5.