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The high precision measurements of the cosmic microwave background by the Planck survey yielded tight constraints on cosmological parameters and the statistics of the density fluctuations at the time of recombination. This provides the…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-19 Hans Boehringer , Gayoung Chon

The understanding of the large-scale structure formation requires the resolution of coupled nonlinear equations describing the cosmic density and velocity fields. This is a complicated problem that, for the last decade, has been essentially…

Astrophysics · Physics 2007-05-23 F. Bernardeau

We present a new high-order accurate computational fluid dynamics model based on the incompressible Navier-Stokes equations with a free surface for the accurate simulation of nonlinear and dispersive water waves in the time domain. The…

Numerical Analysis · Mathematics 2024-06-06 Anders Melander , Max E. Bitsch , Dong Chen , Allan P. Engsig-Karup

Perturbed projection for linear scaling solution of the coupled-perturbed self-consistent-field equations [Weber, Niklasson and Challacombe, Phys. Rev.\ Lett. {\bf 92}, 193002 (2004)] is extended to the computation of higher order static…

Materials Science · Physics 2009-11-10 Valéry Weber , Anders M. N. Niklasson , Matt Challacombe

In Ref. [1, 2] a formalism to deal with high-order perturbations of a general spherical background was developed. In this article, we apply it to the particular case of a perfect fluid background. We have expressed the perturbations of the…

General Relativity and Quantum Cosmology · Physics 2010-12-13 David Brizuela , Jose M. Martin-Garcia , Ulrich Sperhake , Kostas D. Kokkotas

We present high--spatial resolution studies of the density field as predicted by Lagrangian perturbation approximations up to the third order. The first--order approximation is equivalent to the ``Zel'dovich approximation'' for the type of…

Astrophysics · Physics 2011-05-23 Thomas Buchert , Georgios Karakatsanis , Robert Klaffl , Peter Schiller

Complimenting recent work on the effective field theory of cosmological large scale structures, here we present detailed approximate analytical results and further pedagogical understanding of the method. We start from the collisionless…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-02 Mark P. Hertzberg

We provide a quantitative analysis of the halo model in the context of massive neutrino cosmologies. We discuss all the ingredients necessary to model the non-linear matter and cold dark matter power spectra and compare with the results of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Elena Massara , Francisco Villaescusa-Navarro , Matteo Viel

The non-zero mass of neutrinos suppresses the growth of cosmic structure on small scales. Since the level of suppression depends on the sum of the masses of the three active neutrino species, the evolution of large-scale structure is a…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-11 Jia Liu , Simeon Bird , José Manuel Zorrilla Matilla , J. Colin Hill , Zoltán Haiman , Mathew S. Madhavacheril , Andrea Petri , David N. Spergel

We examine Gaussian isocurvature hot dark matter (massive neutrino) models for large-scale structure in which the initial density perturbations are produced in the baryons with a power--law spectrum $P_B(k) = Ak^{n_B}$. We calculate the…

Astrophysics · Physics 2009-10-28 Andrew A. de Laix , Rober J. Scherrer

We develop a method based on the collisionless Boltzmann equation to calculate the gravitational clustering of relic neutrinos in realistic cosmological models dominated by cold dark matter (CDM) and the cosmological constant. This method…

Astrophysics · Physics 2008-11-26 Shwetabh Singh , Chung-Pei Ma

Using $N$-body simulations with massive neutrino density perturbations, we detect the scale-dependent linear halo bias with high significance. This is the first time that this effect is detected in simulations containing neutrino density…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 Chi-Ting Chiang , Marilena LoVerde , Francisco Villaescusa-Navarro

We develop a highly accurate analytic approximation for small-scale non-cold relic perturbations by solving the collisionless Boltzmann equation in the quasi-stationary regime. The approximation is implemented in CLASSIER (CLASS Integral…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-20 Nanoom Lee , Yacine Ali-Haïmoud , Marc Kamionkowski

We update a previous investigation of cosmological effects of a non-standard interaction between neutrinos and dark matter. Parameterizing the elastic-scattering cross section between the two species as a function of the temperature of the…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-04 P. Serra , F. Zalamea , A. Cooray , G. Mangano , A. Melchiorri

Matter effects modify the mixing and the effective masses of neutrinos in a way which depends on the neutrino mass hierarchy. Consequently, for normal and inverted hierarchies the oscillations and flavor conversion results are different.…

High Energy Physics - Phenomenology · Physics 2013-12-30 Alexei Yu. Smirnov

Investigating the cosmological implication of the fact that neutrino has finite mass is of importance for fundamental physics. In particular, massive neutrino affects the formation of the large-scale structure (LSS) of the universe, and,…

Quantum Physics · Physics 2024-02-28 Koichi Miyamoto , Soichiro Yamazaki , Fumio Uchida , Kotaro Fujisawa , Naoki Yoshida

We investigate the Lagrangian perturbation theory of a homogeneous and isotropic universe in the non-relativistic limit, and derive the solutions up to the fourth order. These solutions are needed for example for the next-to-leading order…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-15 Cornelius Rampf , Thomas Buchert

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

Massive neutrinos suppress the growth of structure below their free-streaming scale and leave an imprint on large-scale structure. Measuring this imprint allows us to constrain the sum of neutrino masses, $M_\nu$, a key parameter in…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-01 ChangHoon Hahn , Francisco Villaescusa-Navarro , Emanuele Castorina , Roman Scoccimarro

We investigate the role played by symmetries in the perturbative expansion of the large-scale structure. In particular, we establish which of the coefficients of the perturbation theory kernels are dictated by symmetries and which not. Up…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Guido D'Amico , Marco Marinucci , Massimo Pietroni , Filippo Vernizzi