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As a step towards a more accurate modelling of redshift-space distortions in galaxy surveys, we develop a general description of the probability distribution function of galaxy pairwise velocities within the framework of the so-called…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-04 Davide Bianchi , Matteo Chiesa , Luigi Guzzo

We have investigated the relation between the two-point spatial correlation function and the density profile of the dark matter halo in the strongly non-linear regime. It is well known that when the density fluctuation grows into dark…

Astrophysics · Physics 2009-10-31 Taihei Yano , Naoteru Gouda

We consider a system of two reaction-diffusion-advection equations describing the one dimensional directed motion of particles with superimposed diffusion and mutual alignment. For this system we show the existence of traveling wave…

Analysis of PDEs · Mathematics 2021-01-19 Heinrich Freistühler , Jan Fuhrmann

Direct measurements of peculiar velocities of galaxies and clusters of galaxies can in principle provide explicit information on the three dimensional mass distribution, but this information is modulated by the fact that velocity field is…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Teppei Okumura , Uros Seljak , Zvonimir Vlah , Vincent Desjacques

The peculiar velocities of biased tracers of the cosmic density field contain important information about the growth of large scale structure and generate anisotropy in the observed clustering of galaxies. Using N-body data, we show that…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-05 Shi-Fan Chen , Zvonimir Vlah , Martin White

We propose a physical model for nonlinear stochastic biasing of one-point statistics resulting from the formation epoch distribution of dark halos. In contrast to previous works on the basis of extensive numerical simulations, our model…

Astrophysics · Physics 2009-10-16 Atsushi Taruya , Yasushi Suto

Using the two-point Edgeworth series up to second order we construct the weakly nonlinear conditional probability distribution function for the density field around an overdense region. This requires calculating the two-point analogues of…

Astrophysics · Physics 2009-10-30 Ewa L. Lokas

Density perturbations and their dynamic evolution from early to late times can be used for an improved understanding of interesting physical phenomena both in cosmology and in the context of heavy-ion collisions. We discuss the spectrum and…

High Energy Physics - Phenomenology · Physics 2015-03-11 Nikolaos Brouzakis , Stefan Floerchinger , Nikolaos Tetradis , Urs Achim Wiedemann

We describe a simple model which explains the qualitative and (approximate) quantitative features of the distribution of orbital velocities of merging pairs of dark matter halos. Our model considers a primary dark matter halo as a perturber…

Astrophysics of Galaxies · Physics 2021-05-26 A. J. Benson

We present astrophysical applications of the recently popular halo model to describe large scale structure clustering. We formulate the power spectrum, bispectrum and trispectrum of dark matter density field in terms of correlations within…

Astrophysics · Physics 2007-05-23 Asantha Cooray

We do shear-driven simulations of a simple model of non-Brownian particles in two dimensions. By examining the velocity distribution at different densities and shear rates we find strong evidence for the existence of two different…

Soft Condensed Matter · Physics 2023-06-14 Peter Olsson

We propose a simple and accurate method for computing analytically the mass correlation function for cold dark matter and scale-free models that fits N-body simulations over a range that extends from the linear to the strongly non-linear…

Astrophysics · Physics 2009-10-31 R. R. Caldwell , Roman Juszkiewicz , Paul J. Steinhardt , Francois Bouchet

Observations of redshift-space distortions in spectroscopic galaxy surveys offer an attractive method for measuring the build-up of cosmological structure, which depends both on the expansion rate of the Universe and our theory of gravity.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Beth A. Reid , Martin White

The apparent distribution of large-scale structures in the universe is sensitive to the velocity/potential of the sources as well as the potential along the line-of-sight through the mapping from real space to redshift space (redshift-space…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-04 Michel-Andrès Breton , Yann Rasera , Atsushi Taruya , Osmin Lacombe , Shohei Saga

We study the probability distribution function (PDF) of relative velocity between two different dark matter halos (i.e. pairwise velocity) with a set of high-resolution cosmological $N$-body simulations. We investigate the pairwise velocity…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Masato Shirasaki , Eric M. Huff , Katarina Markovic , Jason D. Rhodes

Weak lensing convergence can be used directly to map and probe the dark mass distribution in the universe. Building on earlier studies, we recall how the statistics of the convergence field are related to the statistics of the underlying…

Astrophysics · Physics 2009-11-07 Andrew J. Barber , Dipak Munshi , Patrick Valageas

We investigate the properties of the pairwise velocity dispersion as a function of galaxy luminosity in the context of a halo model. We derive the distribution of velocities of pairs at a given separation taking into account both one-halo…

Astrophysics · Physics 2009-11-11 Anze Slosar , Uros Seljak , Argyro Tasitsiomi

Naive estimates of the statistics of large scale structure and weak lensing power spectrum measurements that include only Gaussian errors exaggerate their scientific impact. Non-linear evolution and finite volume effects are both…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-24 Emmanuel Schaan , Masahiro Takada , David N. Spergel

We study the evolution of the halo-halo correlation function and bias in four cosmological models (LCDM, OCDM, tauCDM, and SCDM) using very high-resolution N-body simulations. The high force and mass resolution allows dark matter (DM) halos…

Astrophysics · Physics 2009-10-30 Pedro Colin , Anatoly Klypin , Andrey Kravtsov , Alexei Khokhlov

Nonlinear waves are a robust phenomenon observed in complex systems ranging from mechanics to ecology. Fronts are fundamental due to their robustness against perturbations and capacity to propagate one state over another. Controlling and…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos