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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

We study the structure and evolution of dark matter halos from z = 300 to z = 6 for two cosmological N-body simulation initialization techniques. While the second order Lagrangian perturbation theory (2LPT) and the Zel'dovich approximation…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-17 Daniel J. Sissom , Kelly Holley-Bockelmann , Manodeep Sinha

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 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

We present and test a new numerical method to determine second-order Lagrangian displacement fields in the context of modified gravity (MG) theories. We start from the extension of Lagrangian Perturbation Theory to a class of MG models that…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-04 Chiara Moretti , Simone Mozzon , Pierluigi Monaco , Emiliano Munari , Marco Baldi

We explore structure formation in the dark ages ($z\sim 30-6$) using two well-known methods for initializing cosmological $N$-body simulations. Overall, both the Zel'dovich approximation (\za) and second order Lagrangian perturbation theory…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Kelly Holley-Bockelmann , John H. Wise , Manodeep Sinha

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 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 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

We present a novel approach to generate higher-order initial conditions (ICs) for cosmological simulations that take into account the distinct evolution of baryons and dark matter. We focus on the numerical implementation and the validation…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-13 Oliver Hahn , Cornelius Rampf , Cora Uhlemann

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 present a new fast and efficient approach to model structure formation with Augmented Lagrangian Perturbation Theory (ALPT). Our method is based on splitting the displacement field into a long and a short-range component. The long-range…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Francisco-Shu Kitaura , Steffen Heß

We present the latest version of Pinocchio, a code that generates catalogues of DM haloes in an approximate but fast way with respect to an N-body simulation. This code version extends the computation of particle and halo displacements up…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-11 Emiliano Munari , Pierluigi Monaco , Emiliano Sefusatti , Emanuele Castorina , Faizan G. Mohammad , Stefano Anselmi , Stefano Borgani

We systematically study the effects of varying the starting redshift z_i for cosmological simulations in the highly non-linear regime. Our primary focus lies with the (individual) properties of dark matter halos -- namely the mass, spin,…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 Alexander Knebe , Christian Wagner , Steffen Knollmann , Tobias Diekershoff , Fabian Krause

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

We use a set of numerical N-body simulations to study the large-scale behavior of the reduced bispectrum of dark matter and compare the results with the second-order perturbation theory and the halo models for different halo mass functions.…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 Hong Guo , Y. P. Jing

Traditional N-body methods introduce localised perturbations in the gravitational forces governing their evolution. These perturbations lead to an artificial fragmentation in the filamentary network of the Large Scale Structure, often…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-28 Robert A. Mostoghiu Paun , Darren Croton , Chris Power , Alexander Knebe , Adam J. Ussing , Alan R. Duffy

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 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

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…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-09 Emiliano Munari , Pierluigi Monaco , Jun Koda , Francisco-Shu Kitaura , Emiliano Sefusatti , Stefano Borgani
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