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We demonstrate that testing for self-similarity in scale-free simulations provides an excellent tool to quantify the resolution at small scales of cosmological N-body simulations. Analysing two-point correlation functions measured in…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-22 Michael Joyce , Lehman Garrison , Daniel Eisenstein

We present a continuation of an analysis that aims to quantify resolution of $N$-body simulations by exploiting large (up to $N=4096^3$) simulations of scale-free cosmologies run using Abacus. Here we focus on radial pairwise velocities of…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Sara Maleubre , Daniel J. Eisenstein , Lehman H. Garrison , Michael Joyce

Analysis of self-similarity in scale-free $N$-body simulations reveals the spatial and temporal scales for which statistics measured in cosmological simulations are converged to the physical continuum limit. We examine how the range of…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-28 Lehman H. Garrison , Michael Joyce , Daniel J. Eisenstein

The determination of the resolution of cosmological N-body simulations, i.e., the range of scales in which quantities measured in them represent accurately the continuum limit, is an important open question. We address it here using…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-21 David Benhaiem , Michael Joyce , Francesco Sylos Labini

We use a series of cosmological N-body simulations and various analytic models to study the evolution of the matter power spectrum in real space in a \Lambda Cold Dark Matter universe. We compare the results of N-body simulations against…

Future galaxy surveys require one percent precision in the theoretical knowledge of the power spectrum over a large range including very nonlinear scales. While this level of accuracy is easily obtained in the linear regime with…

Near-future cosmological observations targeted at investigations of dark energy pose stringent requirements on the accuracy of theoretical predictions for the clustering of matter. Currently, N-body simulations comprise the only viable…

Astrophysics · Physics 2010-08-25 Katrin Heitmann , Martin White , Christian Wagner , Salman Habib , David Higdon

The effects of discreteness arising from the use of the N-body method on the accuracy of simulations of cosmological structure formation are not currently well understood. After a discussion of how the relevant discretisation parameters…

Astrophysics · Physics 2009-11-13 Michael Joyce , Bruno Marcos , Thierry Baertschiger

Several cosmological measurements have attained significant levels of maturity and accuracy over the last decade. Continuing this trend, future observations promise measurements of the statistics of the cosmic mass distribution at an…

Astrophysics · Physics 2008-11-26 Salman Habib , Katrin Heitmann , David Higdon , Charles Nakhleh , Brian Williams

Uncertainties in predicting the nonlinear clustering of matter are among the most serious theoretical systematics facing the upcoming wide-field weak gravitational lensing surveys. We estimate the accuracy with which the matter power…

Astrophysics · Physics 2011-05-12 Dragan Huterer , Masahiro Takada

We present the Aemulus $\nu$ simulations: a suite of 150 $(1.05 h^{-1}\rm Gpc)^3$ $N$-body simulations with a mass resolution of $3.51\times 10^{10} \frac{\Omega_{cb}}{0.3} ~ h^{-1} M_{\odot}$ in a $w\nu$CDM cosmological parameter space.…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-02 Joseph DeRose , Nickolas Kokron , Arka Banerjee , Shi-Fan Chen , Martin White , Risa Wechsler , Kate Storey-Fisher , Jeremy Tinker , Zhongxu Zhai

For dynamical dark energy cosmologies we carry out a series of N-body gravitational simulations, achieving percent level accuracy in the relative mass power spectra at any redshift. Such accuracy in the power spectrum is necessary for next…

Astrophysics · Physics 2009-06-23 Matthew J. Francis , Geraint F. Lewis , Eric V. Linder

According to the separate universe conjecture, spherically symmetric sub-regions in an isotropic universe behave like mini-universes with their own cosmological parameters. This is an excellent approximation in both Newtonian and general…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-14 Gábor Rácz , László Dobos , Róbert Beck , István Szapudi , István Csabai

The large-scale maximum at k~0.05 identified in the power-spectrum of galaxy fluctuations provides a co-moving scale for measuring cosmological curvature. In shallow 3D surveys the peak is broad, but appears to be well resolved in 1D, at…

Astrophysics · Physics 2007-05-23 Tom Broadhurst , Andrew H. Jaffe

We use a suite of high-resolution $N$-body simulations and state-of-the-art perturbation theory to improve the code halofit, which predicts the nonlinear matter power spectrum. We restrict attention to parameters in the vicinity of the…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-09 Robert E. Smith , Raul E. Angulo

We demonstrate that the output of a cosmological N-body simulation can, to remarkable accuracy, be scaled to represent the growth of large-scale structure in a cosmology with parameters similar to but different from those originally…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Raul E. Angulo , Simon D. M. White

The concordance of the $\Lambda$CDM cosmological model in light of current observations has been the subject of an intense debate in recent months. The 2018 Planck Cosmic Microwave Background (CMB) temperature anisotropy power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-02 Sunny Vagnozzi , Eleonora Di Valentino , Stefano Gariazzo , Alessandro Melchiorri , Olga Mena , Joseph Silk

We present methods for emulating the matter power spectrum by combining information from cosmological $N$-body simulations at different resolutions. An emulator allows estimation of simulation output by interpolating across the parameter…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-17 Ming-Feng Ho , Simeon Bird , Christian R. Shelton

Future large-scale structure surveys of the Universe will aim to constrain the cosmological model and the true nature of dark energy with unprecedented accuracy. In order for these surveys to achieve their designed goals, they will require…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Robert E. Smith , Darren S. Reed , Doug Potter , Laura Marian , Martin Crocce , Ben Moore

We explicitly test the equal-time consistency relation between the angular-averaged bispectrum and the power spectrum of the matter density field, employing a large suite of cosmological $N$-body simulations. This is the lowest-order…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-05 Takahiro Nishimichi , Patrick Valageas
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