2016
DOI: 10.1088/1475-7516/2016/04/047
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Matter power spectrum and the challenge of percent accuracy

Abstract: Abstract. 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 perturbation theory, it represents a serious challenge for small scales where numerical simulations are required. In this paper we quantify the precision of present-day N -body methods, identifying main potential error sources from the set-up of initial conditions to the meas… Show more

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Cited by 208 publications
(246 citation statements)
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“…The corrections reach ∼5% even at small scales, k ¼ 1.0h −1 Mpc, and modest redshifts, z ¼ 1, where one might hope that the box-size effects are minimal. This is consistent with what is found by averaging over hundreds of realizations [43] or comparing to increased box sizes which better sample the large-scale modes [23].…”
Section: Improving the Accuracy Of Structure Formation Simulationssupporting
confidence: 90%
“…The corrections reach ∼5% even at small scales, k ¼ 1.0h −1 Mpc, and modest redshifts, z ¼ 1, where one might hope that the box-size effects are minimal. This is consistent with what is found by averaging over hundreds of realizations [43] or comparing to increased box sizes which better sample the large-scale modes [23].…”
Section: Improving the Accuracy Of Structure Formation Simulationssupporting
confidence: 90%
“…In order to avoid problems due to large neutrino velocities, they started the simulations as late as z in = 24 for the lightest neutrinos, using the Zel'dovich approximation. This leads to systematic inaccuracies in the power spectrum at the few percent level as shown in Heitmann et al (2010) and Schneider et al (2016). (In both papers effects at the 2-3% level were shown with a starting redshift z in = 50 at k ∼ 1hMpc −1 , extrapolating these results would suggest a 5% error due to the late start alone, and even more at higher k).…”
Section: Neutrino Predictionsmentioning
confidence: 97%
“…Technically, this task amounts to solving the collisionless Vlasov-Boltzmann equation for appropriate classes of initial conditions [1]. With recent progress in both computational power and coding techniques, N -body simulations describe by now structure evolution down to small scales where baryonic effects become increasingly important [2][3][4]. Even for pure cold dark matter simulations, perturbative techniques cannot be expected to apply on scales where non-linearities become strong and the process of virialization starts to dominate.…”
Section: Introductionmentioning
confidence: 99%