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We extensively develop a perturbation theory for nonlinear cosmological dynamics, based on the Lagrangian description of hydrodynamics. We solve hydrodynamic equations for a self-gravitating fluid with pressure, given by a polytropic…

天体物理学 · 物理学 2009-11-07 Takayuki Tatekawa , Momoko Suda , Kei-ichi Maeda , Masaaki Morita , Hiroki Anzai

We formulate a perturbative approximation to gravitational instability, based on Lagrangian hydrodynamics in Newtonian cosmology. We take account of `pressure' effect of fluid, which is kinematically caused by velocity dispersion, to aim…

天体物理学 · 物理学 2009-11-07 Masaaki Morita , Takayuki Tatekawa

In this work we investigate the nonlinear and nonlocal relation between cosmological density and peculiar velocity fields. Our goal is to provide an algorithm for the recon- struction of the nonlinear velocity field from the fully nonlinear…

宇宙学与河外天体物理 · 物理学 2015-06-03 Francisco-Shu Kitaura , Raul E. Angulo , Yehuda Hoffman , Stefan Gottl"ober

Structure formation in the Universe has been well-studied within the Eulerian and Lagrangian perturbation theories, where the latter performs substantially better in comparison with N-body simulations. Standing out is the celebrated…

宇宙学与河外天体物理 · 物理学 2023-10-04 Niels Fardeau , Thomas Buchert , Fosca Al Roumi , Fereshteh Felegary

We propose a new method to linearise cosmological mass density fields using higher order Lagrangian perturbation theory (LPT). We demonstrate that a given density field can be expressed as the sum of a linear and a nonlinear component which…

宇宙学与河外天体物理 · 物理学 2015-06-03 F. S. Kitaura , R. E. Angulo

This paper deals with the time evolution in the matter era of perturbations in Friedman-Lemaitre models with arbitrary density parameter $\Omega$, with either a zero cosmological constant, $\Lambda = 0$, or with a non-zero cosmological…

天体物理学 · 物理学 2011-05-23 F. R. Bouchet , S. Colombi , E. Hivon , R. Juszkiewicz

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…

天体物理学 · 物理学 2011-05-23 Thomas Buchert , Georgios Karakatsanis , Robert Klaffl , Peter Schiller

We present the problematic of controlling the discreteness effects in cosmological N-body simulations. We describe a perturbative treatment which gives an approximation describing the evolution under self-gravity of a lattice perturbed from…

统计力学 · 物理学 2009-11-13 B. Marcos

The matter density field exhibits a nearly lognormal probability density distribution (PDF) after entering into the nonlinear regime. Recently, it has been shown that the shape of the power spectrum of a logarithmically transformed density…

宇宙学与河外天体物理 · 物理学 2015-03-19 Xin Wang , Mark Neyrinck , István Szapudi , Alex Szalay , Xuelei Chen , Julien Lesgourgues , Antonio Riotto , Martin Sloth

We show how the Zel'dovich approximation and the second order displacement field of Lagrangian perturbation theory can be obtained from a general relativistic gradient expansion in \Lambda{}CDM cosmology. The displacement field arises as a…

宇宙学与河外天体物理 · 物理学 2015-06-11 Cornelius Rampf , Gerasimos Rigopoulos

Recently a new Lagrangian framework was introduced to describe interactions between scalar fields and relativistic perfect fluids. This allows two consistent generalizations of coupled quintessence models: non-vanishing pressures and a new…

宇宙学与河外天体物理 · 物理学 2015-09-30 Tomi S. Koivisto , Emmanuel N. Saridakis , Nicola Tamanini

We present a perturbative treatment of the evolution under their mutual self-gravity of particles displaced off an infinite perfect lattice, both for a static space and for a homogeneously expanding space as in cosmological N-body…

天体物理学 · 物理学 2009-11-11 B. Marcos , T. Baertschiger , M. Joyce , A. Gabrielli , F. Sylos Labini

Cosmological linear perturbation theory predicts that the peculiar velocity $V(x)$ and the matter overdensity $\delta(x)$ at a same point $x$ are statistically independent quantities, as log as the initial density fluctuations are random…

天体物理学 · 物理学 2009-10-31 Naoki Seto

We obtain approximations for the CDM particle trajectories starting from Lagrangian Perturbation Theory. These estimates for the CDM trajectories result in approximations for the density in real and redshift space, as well as for the…

宇宙学与河外天体物理 · 物理学 2015-06-04 Svetlin Tassev , Matias Zaldarriaga

Fundamental assumptions which form the basis of models for large-scale structure in the Universe are sketched in light of a Lagrangian description of inhomogeneities. This description is introduced for Newtonian self-gravitating flows. On…

天体物理学 · 物理学 2009-09-25 T. Buchert

We develop a Lagrangian Perturbation Theory (LPT) framework to study the clustering of cold dark matter (CDM) in cosmologies with massive neutrinos. We follow the trajectories of CDM particles with Lagrangian displacements fields up to…

宇宙学与河外天体物理 · 物理学 2020-10-28 Alejandro Aviles , Arka Banerjee

We study the one-point probability distribution functions (PDFs) of the peculiar velocity and the density fluctuation in a cosmological fluid. Within the perturbative approach to the structure formation scenario, the effect of ``pressure''…

天体物理学 · 物理学 2009-11-11 Takayuki Tatekawa

We study a Lagrangian with a cubic Galileon term and a standard scalar-field kinetic contribution with two exponential potentials. In this model the Galileon field generates scaling solutions in which the density of the scalar field $\phi$…

宇宙学与河外天体物理 · 物理学 2022-03-02 Inês S. Albuquerque , Noemi Frusciante , Matteo Martinelli

We develop the effective field theory of density fluctuations for a Newtonian self-gravitating N-body system in quasi-equilibrium, apply it to a homogeneous universe with small density fluctuations. Keeping the density fluctuation up to the…

天体物理学 · 物理学 2009-11-13 Yang Zhang , Haixing Miao

We derive the equations of linear cosmological perturbations for the general Lagrangian density $f (R,\phi, X)/2+L_c$, where $R$ is a Ricci scalar, $\phi$ is a scalar field, and $X=-(\nabla \phi)^2/2$ is a field kinetic energy. We take into…

宇宙学与河外天体物理 · 物理学 2010-10-12 Antonio De Felice , Shinji Mukohyama , Shinji Tsujikawa
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