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Approximations to the exact solutions for gravitational instability in the expanding Universe are extremely useful for understanding the evolution of large--scale structure. We report on a series of tests of Newtonian Lagrangian…

天体物理学 · 物理学 2007-05-23 T. Buchert , A. L. Melott , A. G. Weiss

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 report on a series of tests of Newtonian Lagrangian perturbation schemes using N--body simulations for various power--spectra with scale--independent indices in the range $-3$ to $+1$. The models have been evolved deeply into the…

天体物理学 · 物理学 2007-05-23 T. Buchert , A. L. Melott , A. G. Weiss

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 results showing an improvement of the accuracy of perturbation theory as applied to cosmological structure formation for a useful range of scales. The Lagrangian theory of gravitational instability of Friedmann--Lema\^\i tre…

天体物理学 · 物理学 2009-09-25 A. L. Melott , T. Buchert , A. G. Weiß

Large-scale cosmological simulations are an indispensable tool for modern cosmology. To enable model-space exploration, fast and accurate predictions are critical. In this paper, we show that the performance of such simulations can be…

宇宙学与河外天体物理 · 物理学 2026-04-08 Florian List , Oliver Hahn

We present results showing an improvement of the accuracy of perturbation theory as applied to cosmological structure formation for a useful range of quasilinear scales. The Lagrangian theory of gravitational instability of an Einstein-de…

天体物理学 · 物理学 2007-05-23 T. Buchert , A. L. Melott , A. G. Weiss

We present a simple and intuitive approximation for solving perturbation theory (PT) of small cosmic fluctuations. We consider only the spherically symmetric or monopole contribution to the PT integrals, which yields the exact result for…

天体物理学 · 物理学 2009-10-30 P. Fosalba , E. Gaztanaga

We report on the performance of Lagrangian perturbation theory up to the second order for the standard cold dark matter (SCDM) and broken scale invariance (BSI) scenarios. We normalize both models to the COBE data, the BSI model serves as…

天体物理学 · 物理学 2007-05-23 A. G. Weiss , S. Gottloeber , T. Buchert

We investigate the performance of Lagrangian perturbation theory up to the second order for two scenarios of cosmological large-scale structure formation, SCDM (standard cold dark matter) and BSI (broken scale invariance). The latter model…

天体物理学 · 物理学 2015-06-24 Arno G. Weiss , Stefan Gottloeber , Thomas Buchert

The Lagrangian perturbation theory on Friedman-Lemaitre cosmologies investigated and solved up to the second order in earlier papers (Buchert 1992, Buchert \& Ehlers 1993) is evaluated up to the third order. On its basis a model for…

天体物理学 · 物理学 2015-06-24 Thomas Buchert

A challenging problem in decentralized optimization is to develop algorithms with fast convergence on random and time varying topologies under unreliable and bandwidth-constrained communication network. This paper studies a stochastic…

最优化与控制 · 数学 2025-05-29 Chung-Yiu Yau , Haoming Liu , Hoi-To Wai

We implement an adaptation of the COLA approach, a hybrid scheme that combines Lagrangian perturbation theory with an N-body approach, to model non-linear collapse in chameleon and symmetron modified gravity models. Gravitational screening…

宇宙学与河外天体物理 · 物理学 2017-05-30 Georgios Valogiannis , Rachel Bean

We study Lagrangian Perturbation Theory (LPT) and its regularization in the Effective Field Theory (EFT) approach. We evaluate the LPT displacement with the same phases as a corresponding $N$-body simulation, which allows us to compare…

宇宙学与河外天体物理 · 物理学 2016-03-23 Tobias Baldauf , Emmanuel Schaan , Matias Zaldarriaga

We investigate the performance of the optimized Post-Zel'dovich approximation in three cold dark matter cosmologies. We consider two flat models with $\Omega_0=1$ (SCDM) and with $\Omega_0=0.3$ ($\Lambda$CDM) and an open model with…

天体物理学 · 物理学 2009-10-30 Takashi Hamana

We present a test to quantify how well some approximate methods, designed to reproduce the mildly non-linear evolution of perturbations, are able to reproduce the clustering of DM halos once the grouping of particles into halos is defined…

宇宙学与河外天体物理 · 物理学 2017-08-09 Emiliano Munari , Pierluigi Monaco , Jun Koda , Francisco-Shu Kitaura , Emiliano Sefusatti , Stefano Borgani

Comparing data defined over space and time is notoriously hard, because it involves quantifying both spatial and temporal variability, while at the same time taking into account the chronological structure of data. Dynamic Time Warping…

机器学习 · 统计学 2019-11-12 Hicham Janati , Marco Cuturi , Alexandre Gramfort

We present a new formulation of Lagrangian perturbation theory which allows accurate predictions of the real- and redshift-space correlation functions of the mass field and dark matter halos. Our formulation involves a non-perturbative…

宇宙学与河外天体物理 · 物理学 2015-06-11 Jordan Carlson , Beth Reid , Martin White

We discuss a new algorithm to generate multi-scale initial conditions with multiple levels of refinements for cosmological "zoom-in" simulations. The method uses an adaptive convolution of Gaussian white noise with a real space transfer…

宇宙学与河外天体物理 · 物理学 2015-05-27 Oliver Hahn , Tom Abel

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
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