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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…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Oliver Hahn , Tom Abel

Inaccuracies in the initial conditions for cosmological N-body simulations could easily be the largest source of systematic error in predicting the non-linear large-scale structure. From the theory side, initial conditions are usually…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-18 Michaël Michaux , Oliver Hahn , Cornelius Rampf , Raul E. Angulo

In modern cosmology, the precision of the theoretical prediction is increasingly required. In cosmological $N$-body simulations, the effect of higher-order Lagrangian perturbation on the initial conditions appears in terms of statistical…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-27 Takayuki Tatekawa

We describe and test a new method for creating initial conditions for cosmological N-body dark matter simulations based on second-order Lagrangian perturbation theory (2lpt). The method can be applied to multi-mass particle distributions…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Adrian Jenkins

Cosmology is entering an era of percent level precision due to current large observational surveys. This precision in observation is now demanding more accuracy from numerical methods and cosmological simulations. In this paper, we study…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 Benjamin L'Huillier , Changbom Park , Juhan Kim

We explore the initial conditions for cosmological N-body simulations suitable for calculating the skewness and kurtosis of the density field. In general, the initial conditions based on the perturbation theory (PT) provide incorrect…

Astrophysics · Physics 2009-06-23 Takayuki Tatekawa , Shuntaro Mizuno

In cosmological $N$-body simulations, the representation of dark matter as discrete "macroparticles" suppresses the growth of structure, such that simulations no longer reproduce linear theory on small scales near $k_{\rm Nyquist}$. Marcos…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-04 Lehman H. Garrison , Daniel J. Eisenstein , Douglas Ferrer , Marc V. Metchnik , Philip A. Pinto

We study the impact of setting initial conditions in numerical simulations using the standard procedure based on the Zel'dovich approximation (ZA). As it is well known from perturbation theory, ZA initial conditions have incorrect second…

Astrophysics · Physics 2009-11-11 M. Crocce , S. Pueblas , R. Scoccimarro

The conventional method of generating initial conditions for cosmological N-body simulations introduces a significant error in the real-space statistical properties of the particles. More specifically, the finite box size leads to a…

Astrophysics · Physics 2009-11-10 Edwin Sirko

The standard procedure to generate initial conditions (IC) in numerical simulations is to use the Zel'dovich approximation (ZA). Although the ZA correctly reproduces the linear growing modes of density and velocity perturbations, non-linear…

Astrophysics · Physics 2009-10-30 Roman Scoccimarro

Many recent studies have highlighted certain failures of the standard Eulerian-space cosmological perturbation theory (SPT). Its problems include (1) not capturing large-scale bulk flows [leading to an O(1) error in the 1-loop SPT…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-27 Matthew McQuinn , Martin White

We revisit techniques for performing cosmological simulations with both baryons and cold dark matter when each fluid has different initial conditions, as is the case at the end of the radiation era. Most simulations do not reproduce the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Simeon Bird , Yu Feng , Christian Pedersen , Andreu Font-Ribera

Many models of high energy physics suggest that the cosmological dark sector consists of not just one, but a spectrum of ultralight scalar particles with logarithmically distributed masses. To study the potential signatures of low…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Alex Laguë , J. Richard Bond , Renée Hložek , David J. E. Marsh , Laurin Söding

We generalize the `renormalized' perturbation theory (RPT) formalism of Crocce & Scoccimarro (2006a) to deal with multiple fluids in the Universe and here we present calculations up to the one-loop level. We apply the approach to the…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-06 Gabor Somogyi , Robert E. Smith

Modelling the cosmic large-scale structure can be done through numerical N-body simulations or by using perturbation theory. Here, we present an N-body approach that effectively implements a multi-step forward model based on Lagrangian…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-13 Cornelius Rampf , Florian List , Oliver Hahn

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…

Astrophysics · Physics 2015-06-24 Arno G. Weiss , Stefan Gottloeber , Thomas Buchert

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…

Astrophysics · Physics 2009-09-25 T. Buchert

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…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-08 Florian List , Oliver Hahn

We explore Lagrangian perturbation theory (LPT) for biased tracers in the presence of two fluids, focusing on the case of cold dark matter (CDM) and baryons. The presence of two fluids induces corrections to the Lagrangian bias expansion…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-12 Shi-Fan Chen , Emanuele Castorina , Martin White

Analysing next-generation cosmological data requires balancing accurate modeling of non-linear gravitational structure formation and computational demands. We propose a solution by introducing a machine learning-based field-level emulator,…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-12 Ludvig Doeser , Drew Jamieson , Stephen Stopyra , Guilhem Lavaux , Florent Leclercq , Jens Jasche
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