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Related papers: Excursion set theory for modified gravity: correla…

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I review the excursion set theory (EST) of dark matter halo formation and clustering. I recount the Press-Schechter argument for the mass function of bound objects and review the derivation of the Press-Schechter mass function in EST. The…

Astrophysics · Physics 2008-11-26 Andrew R. Zentner

The excursion set model provides a convenient theoretical framework to derive dark matter halo abundances. This paper generalizes the model by introducing a more realistic merging and collapse process. A new parameter regulates the…

Astrophysics · Physics 2009-11-10 Grigori Amosov , Peter Schuecker

The excursion set theory based on spherical or ellipsoidal gravitational collapse provides an elegant analytic framework for calculating the mass function and the large-scale bias of dark matter haloes. This theory assumes that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Chung-Pei Ma , Michele Maggiore , Antonio Riotto , Jun Zhang

In the standard excursion set model for the growth of structure, the statistical properties of halos are governed by the halo mass and are independent of the larger scale environment in which the halos reside. Numerical simulations,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Jun Zhang , Chung-Pei Ma , Antonio Riotto

A classic method for computing the mass function of dark matter halos is provided by excursion set theory, where density perturbations evolve stochastically with the smoothing scale, and the problem of computing the probability of halo…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 Michele Maggiore , Antonio Riotto

In attempts to explain dark energy, a number of models have been proposed in which the formation of large-scale structure depends on the local environment. These models are highly non-linear and difficult to analyse analytically. N-body…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-04 Baojiu Li , George Efstathiou

A sizeable level of non-Gaussianity in the primordial cosmological perturbations may be induced by a large trispectrum, i.e. by a large connected four-point correlation function. We compute the effect of a primordial non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Michele Maggiore , Antonio Riotto

An important indicator of modified gravity is the effect of the local environment on halo properties. This paper examines the influence of the local tidal structure on the halo mass function, the halo orientation, spin and the…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-19 Francesca von Braun-Bates , Hans A. Winther , David Alonso , Julien Devriendt

Recently, we provided a simple but accurate formula which closely approximates the first crossing distribution associated with random walks having correlated steps. The approximation is accurate for the wide range of barrier shapes of…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-09 Marcello Musso , Ravi K. Sheth

Excursion set theory is a powerful and widely used tool for describing the distribution of dark matter haloes, but it is normally applied with simplifying approximations. We use numerical sampling methods to study the mass functions…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-29 M. Sten Delos

We discuss in the framework of the excursion set formalism a recent discovery from N-body simulations that the clustering of haloes of given mass depends on their formation history. We review why the standard implementation of this…

Astrophysics · Physics 2008-11-26 H. B. Sandvik , O. Moeller , J. Lee , S. D. M. White

In this series of papers we present an emulator-based halo model for the non-linear clustering of galaxies in modified gravity cosmologies. In the first paper, we present emulators for the following halo properties: the halo mass function,…

The comparison between dynamical mass and lensing mass provides a targeted test for a wide range of modified gravity models. In our previous paper we showed, through numerical simulations, that the measurement of the line-of-sight velocity…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-05 Tsz Yan Lam , Fabian Schmidt , Takahiro Nishimichi , Masahiro Takada

The $\Lambda$CDM model predicts structure formation across a vast mass range, from massive clusters ($\sim10^{15}\,\text{M}_\odot$) to Earth-mass micro-haloes ($\sim 10^{-6} \, \text{M}_\odot$), resolving which far exceeds the capabilities…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-28 A. M. Wisłocka , J. Stücker , O. Hahn , R. E. Angulo

Chameleon fields may modify gravity on cluster scales while recovering general relativity locally. This article reviews signatures of chameleon modifications in the nonlinear cosmological structure, comparing different techniques to model…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-06 Lucas Lombriser

Models of modified gravity offer promising alternatives to the concordance $\Lambda$CDM cosmology to explain the late-time acceleration of the universe. A popular such model is $f(R)$ gravity, in which the Ricci scalar in the…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-14 Christine Corbett Moran , Romain Teyssier , Baojiu Li

The excursion set approach provides a framework for predicting how the abundance of dark matter halos depends on the initial conditions. A key ingredient of this formalism comes from the physics of halo formation: the specification of a…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-12 I. Achitouv , Y. Rasera , R. K. Sheth , P. S. Corasaniti

We investigate the problem of predicting the halo mass function from the properties of the Lagrangian density field. We focus on a perturbation spectrum with a small-scale cut-off (as in warm dark matter cosmologies). This cut-off results…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Oliver Hahn , Aseem Paranjape

We investigate the effect of modified gravity on the specific angular momentum of galactic halos by analyzing the halo catalogs at z=0 from high-resolution N-body simulations for a f(R) gravity model that meets the solar-system constraint.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Jounghun Lee , Gong-Bo Zhao , Baojiu Li , Kazuya Koyama

We propose a novel method to test the gravitational interactions in the outskirts of galaxy clusters. When gravity is modified, this is typically accompanied by the introduction of an additional scalar degree of freedom, which mediates an…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-20 Ayumu Terukina , Lucas Lombriser , Kazuhiro Yamamoto , David Bacon , Kazuya Koyama , Robert C. Nichol