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A significant challenge for modelling the massive neutrino as a hot dark matter is its large velocity dispersion. In this work, we investigate and implement a multi-fluid perturbation theory that treats the cosmic neutrino population as a…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-12 Joe Zhiyu Chen , Amol Upadhye , Yvonne Y. Y. Wong

Multi-component fluid flow simulations in multi-scale porous structures often involve regions that are under-resolved at practical computational resolutions. Accurately capturing the contributions from these unresolved regions is critical.…

In the next decade, cosmological surveys will have the statistical power to detect the absolute neutrino mass scale. N-body simulations of large-scale structure formation play a central role in interpreting data from such surveys. Yet these…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-31 Caio Bastos de Senna Nascimento , Marilena Loverde

We present the first attempt to analytically study the nonlinear matter power spectrum for a mixed dark matter (cold dark matter plus neutrinos of total mass ~0.1eV) model based on cosmological perturbation theory. The suppression in the…

Astrophysics · Physics 2009-06-23 Shun Saito , Masahiro Takada , Atsushi Taruya

We propose a superfluid phase of ``many-fracton system'' in which charge and total dipole moments are conserved quantities. In this work, both microscopic model and long-wavelength effective theory are analyzed. We start with a second…

Strongly Correlated Electrons · Physics 2021-03-12 Jian-Keng Yuan , Shuai A. Chen , Peng Ye

We study in detail how neutrino perturbations can be followed in linear theory by using only terms up to $l=2$ in the Boltzmann hierarchy. We provide a new approximation to the third moment and demonstrate that the neutrino power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-15 Maria Archidiacono , Steen Hannestad

We calculate the non-linear matter power spectrum using the 3rd-order perturbation theory without ignoring the pressure gradient term. We consider a semi-realistic system consisting of two matter components with and without pressure, and…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-22 Masatoshi Shoji , Eiichiro Komatsu

The theory of dark matter superfluidity has emerged as a compelling framework, in which the dynamics are governed by a non-relativistic $P(X)$ superfluid Lagrangian that naturally leads to Modified Newtonian Dynamics (MOND)-like behavior…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Seturumane Tema

Nonlinear effects are crucial in order to compute the cosmological matter power spectrum to the accuracy required by future generation surveys. Here, a new approach is presented, in which the power spectrum, the bispectrum and higher order…

Astrophysics · Physics 2009-11-13 Massimo Pietroni

We present a new flexible, fast and accurate way to implement massive neutrinos, warm dark matter and any other non-cold dark matter relics in Boltzmann codes. For whatever analytical or numerical form of the phase-space distribution…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-14 Julien Lesgourgues , Thomas Tram

Massive neutrinos suppress the growth of cosmic structure on small, non-linear, scales. It is thus often proposed that using statistics beyond the power spectrum can tighten constraints on the neutrino mass by extracting additional…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-16 Adrian E. Bayer , Arka Banerjee , Uros Seljak

In this II, a probability to detect the neutrino produced in a high-energy pion decay is shown to receive the large finite-size correction. The neutrino interacts extremely weakly with matters and is described with a many-body wave function…

High Energy Physics - Phenomenology · Physics 2012-09-26 Kenzo Ishikawa , Yutaka Tobita

In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underlying spatial grid, thus allowing for more efficient geometric representations of complex…

A new description of the binary fluid problem via the lattice Boltzmann method is presented which highlights the use of the moments in constructing two equilibrium distribution functions. This offers a number of benefits, including better…

Soft Condensed Matter · Physics 2009-11-10 K. Stratford , R. Adhikari , I. Pagonabarraga , J. -C. Desplat

Simulation of the cosmic clustering of massive neutrinos is a daunting task, due both to their large velocity dispersion and to their weak clustering power becoming swamped by Poisson shot noise. We present a new approach, the multi-fluid…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-23 Joe Zhiyu Chen , Markus R. Mosbech , Amol Upadhye , Yvonne Y. Y. Wong

We study the effect of nonperturbative corrections associated with the behavior of particles after shell crossing on the matter power spectrum. We compare their amplitude with the perturbative terms that can be obtained within the fluid…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Patrick Valageas

We compute the tree-level bispectrum of dark matter in the presence of massive neutrinos in the mildly non-linear regime in the context of the effective field theory of large-scale structure (EFTofLSS). For neutrinos, whose typical free…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-20 Roger de Belsunce , Leonardo Senatore

In [arXiv:1004.2488], Baumann et al. present a new formalism for studying cosmological systems where the characteristic scale of non-linearities is much smaller than the Hubble scale. By integrating out the short-wavelength modes, it is…

Cosmology and Nongalactic Astrophysics · Physics 2010-09-08 Hyeyoun Chung

We present a formulation of cosmological perturbation theory where the Boltzmann hierarchies that evolve the neutrino phase-space distributions are replaced by integrals that can be evaluated easily with fast Fourier transforms. The…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Lingyuan Ji , Marc Kamionkowski , Jose Luis Bernal

In this work I develop a new framework for anisotropic hydrodynamics that generalizes the leading order of the hydrodynamic expansion to the full (3+1)-dimensional anisotropic massive case. Following previous works, my considerations are…

Nuclear Theory · Physics 2015-07-29 Leonardo Tinti