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The growth of density perturbations in an expanding universe in the non-linear regime is investigated. The underlying equations of motion are cast in a suggestive form, and motivate a conjecture that the scaled pair velocity, $h(a,x)\equiv…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Nityananda , T. Padmanabhan

The way in which the large-scale cosmic environment affects galactic properties is not yet understood. Dark matter halos, which embed galaxies, initially evolve following linear theory. Their subsequent evolution is driven by non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-20 Anatole Storck , Corentin Cadiou , Oscar Agertz , Daniela Galárraga-Espinosa

We discuss the development and physics of the cosmic virial theorem and its traditional application as an indicator of the cosmic mean density. The standard result that the density must be sub-critical relies on the assumption that the…

Astrophysics · Physics 2011-05-23 James G. Bartlett , Alain Blanchard

It is known that radial collapse around density peaks can explain the key features of evolution of correlation function in gravitational clustering in three dimensions. The same model also makes specific predictions for two dimensions. In…

Astrophysics · Physics 2009-10-30 J. S. Bagla , S. Engineer , T. Padmanabhan

Cosmological perturbation theory for the late Universe dominated by dark matter is extended beyond the perfect fluid approximation by taking the dark matter velocity dispersion tensor as an additional field into account. A proper tensor…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-04 Alaric Erschfeld , Stefan Floerchinger

In spiral galaxies, we explain their non-Keplerian rotation curves (RCs) by means of a non-luminous component embedding their stellar-gaseous disks. Understanding the detailed properties of this component (labelled Dark Matter, DM) is one…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-21 Gianluca Castignani , Noemi Frusciante , Daniele Vernieri , Paolo Salucci

We derive an analytic expression for the two-point correlation function in redshift space which (i) is nonlinear; (ii) is valid on the full sky, i.e. the distant-observer limit is not assumed; (iii) can account for the effect of…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Lawrence Dam , Camille Bonvin

In the Halo Model, galaxies are hosted by dark matter halos, while the halos themselves are biased tracers of the underlying matter distribution. Measurements of galaxy correlation functions include contributions both from galaxies in…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-05 L. Raul Abramo , Irène Balmès , Fabien Lacasa , Marcos Lima

We use a direct numerical integration of the Vlasov equation in spherical symmetry with a background gravitational potential to determine the evolution of a collection of particles in different models of a galactic halo. Such a collection…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Paola Domínguez-Fernández , Erik Jiménez-Vázquez , Miguel Alcubierre , Edison Montoya , Darío Núñez

We obtain the non-linear relation between cosmological density and velocity perturbations by examining their joint dynamics in a two dimensional density-velocity divergence phase space. We restrict to spatially flat cosmologies consisting…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-08 Sharvari Nadkarni-Ghosh

We discuss the propagation of dark matter perturbations with non-zero velocity dispersion in cosmological models. In particular a non-zero massive neutrino component may well have a significant effect on the matter power spectrum and cosmic…

Astrophysics · Physics 2009-11-07 Antony Lewis , Anthony Challinor

Halos and galaxies are tracers of the underlying dark matter structures. While their bias is well understood in the case of a simple Universe composed dominantly of dark matter, the relation becomes more complex in the presence of massive…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-26 Christian Fidler , Nils Sujata , Maria Archidiacono

We present results of analysis of the dark matter (DM) pairwise velocity statistics in different Cosmic Web environments. We use the DM velocity and density field from the Millennium 2 simulation together with the NEXUS+ algorithm to…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-31 Wojciech A. Hellwing

We explore the potential of cross-correlating galaxies and peculiar velocities on non-linear scales to enhance cosmological constraints. Leveraging the \textsc{AbacusSummit} simulation suite and the halo occupation distribution (HOD)…

The evolution of baryon density perturbations on very small scales is investigated. In particular, the nonlinear growth induced by the radiation drag force from the shear velocity field on larger scales during the recombination epoch, which…

Astrophysics · Physics 2009-10-31 Guo-Chin Liu , Kazuhiro Yamamoto , Naoshi Sugiyama , Hiroaki Nishioka

We investigate in this paper a scalar reaction diffusion equation with a nonlinear reaction term depending on x-ct. Here, c is a prescribed parameter modelling the speed of climate change and we wonder whether a population will survive or…

Analysis of PDEs · Mathematics 2014-10-27 Juliette Bouhours , Gregoire Nadin

The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is indeed possible to understand the nonlinear clustering in terms of three well defined regimes:…

Astrophysics · Physics 2016-06-08 T. Padmanabhan

In this work we investigate the behavior of two-dimensional (2D) cosmological models, starting with the Jackiw-Teitelboim (JT) theory of gravitation. A geometrical term, non-linear in the scalar curvature $R$, is added to the JT dynamics to…

General Relativity and Quantum Cosmology · Physics 2016-08-31 F. P. Devecchi , M. L. Froehlich

Dark matter haloes are biased tracers of the underlying dark matter distribution. We use a simple model to provide a relation between the abundance of dark matter haloes and their spatial distribution on large scales. Our model shows that…

Astrophysics · Physics 2008-11-26 Ravi K. Sheth , Giuseppe Tormen

Increasing attention has recently focused on non-traditional dark-matter production mechanisms which result in primordial dark-matter velocity distributions with highly non-thermal shapes. In this paper, we undertake an assessment of how…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-14 Keith R. Dienes , Fei Huang , Jeff Kost , Kevin Manogue , Brooks Thomas
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