Transients from Initial Conditions in Cosmological Simulations

Abstract

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 and higher-order growth and therefore excite long-lived transients in the evolution of the statistical properties of density and velocity fields. We also study the improvement brought by using more accurate initial conditions based on second-order Lagrangian perturbation theory (2LPT). We show that 2LPT initial conditions reduce transients significantly and thus are much more appropriate for numerical simulations devoted to precision cosmology. Using controlled numerical experiments with ZA and 2LPT initial conditions we show that simulations started at redshift z_i=49 using the ZA underestimate the power spectrum in the nonlinear regime by about 2,4,8 % at z=0,1,3 respectively, whereas the mass function of dark matter halos is underestimated by 5% at m=10^15 M_sun/h (z=0) and 10% at m=2x10^14M_sun/h (z=1). The clustering of halos is also affected to the few percent level at z=0. These systematics effects are typically larger than statistical uncertainties in recent mass function and power spectrum fitting formulae extracted from numerical simulations. At large scales, the measured transients in higher-order correlations can be understood from first principle calculations based on perturbation theory.

14 pages, 14 figures, code to generate 2LPT initial conditions available at http://cosmo.nyu.edu/roman/2LPT . Typos corrected, Fig.13 symbols consistent with Fig.11,12

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• The dark matter dispersion tensor in perturbation theory
• Using Lagrangian perturbation theory for precision cosmology
• Weak Lensing by Intergalactic Mini-Structures in Quadruple Lens Systems: Simulation and Detection
• Evolution mapping: a new approach to describe matter clustering in the non-linear regime
• Small scale clustering of late forming dark matter
• Relation between standard perturbation theory and regularized multi-point propagator method
• Self-Similar Bumps and Wiggles: Isolating the Evolution of the BAO Peak with Power-law Initial Conditions
• Probing Primordial Non-Gaussianity with Weak Lensing Minkowski Functionals
• Galaxy clustering with photometric surveys using PDF redshift information
• The Poisson equation at second order in relativistic cosmology
• Covariance of the redshift-space matter power spectrum after reconstruction
• Covariances for cosmic shear and galaxy-galaxy lensing in the response approach
• Virial halo mass function in the $Planck$ cosmology
• Transients from initial conditions based on Lagrangian perturbation theory in N-body simulations
• Observational constraints of an anisotropic boost due to the projection effects using redMaPPer clusters
• Hybrid-basis inference for large-scale galaxy clustering: combining spherical and Cartesian Fourier analyses
• Exploring Mirror Twin Higgs Cosmology with Present and Future Weak Lensing Surveys
• Effects of neutrino mass and asymmetry on cosmological structure formation
• Volume Statistics as a Probe of Large-Scale Structure
• The RayGalGroupSims cosmological simulation suite for the study of relativistic effects: an application to lensing-matter clustering statistics
• Quijote-PNG: The Information Content of the Halo Mass Function
• Measurement of Void Bias Using Separate Universe Simulations
• Statistical properties of dark matter mini-haloes at z >= 15
• Initial conditions for cosmological N-body simulations of the scalar sector of theories of Newtonian, Relativistic and Modified Gravity
• Constraining Primordial Non-Gaussianity with Moments of the Large Scale Density Field
• Distinguishing between $\Lambda$CDM and $f(R)$ gravity models using halo ellipticity correlations in simulations
• Simulating the Anisotropic Clustering of Luminous Red Galaxies with Subhalos: A Direct Confrontation with Observation and Cosmological Implications
• Decaying warm dark matter and structure formation
• Structural properties of artificial halos in non-standard dark matter simulations
• Effect of primordial non-Gaussianities on the far-UV luminosity function of high-redshift galaxies: implications for cosmic reionization
• Separate Universe Void Bias
• Probabilistic cosmic web classification using fast-generated training data
• GRAMSES: a new route to general relativistic $N$-body simulations in cosmology. Part II. Initial conditions
• The Sejong Suite: Cosmological Hydrodynamical Simulations with Massive Neutrinos, Dark Radiation, and Warm Dark Matter
• Constraints on small-scale cosmological fluctuations from SNe lensing dispersion
• The Halo Occupation Distribution of Black Holes: Dependence on Mass
• Grid-based calculations of redshift-space matter fluctuations from perturbation theory: UV sensitivity and convergence at the field level
• The First Billion Years in Seconds: An Effective Model for the 21-cm Signal with Population III Stars
• Isotropic extragalactic flux from dark matter annihilations: lessons from interacting dark matter scenarios
• Impact of Massive Neutrinos and Dark Radiation on the High-redshift Cosmic Web. I. Lyman-Alpha Forest Observables
• Impacts of new small-scale N-body simulations on dark matter annihilations constrained from cosmological 21cm line observations
• Effects of NII and H$\alpha$ Line Blending on the WFIRST Galaxy Redshift Survey
• Testing the conditional mass function of dark matter halos against numerical N-body simulations
• Fingers-of-God effect of infalling satellite galaxies
• Galaxy clustering from the bottom up: A Streaming Model emulator I
• Second-order cosmological perturbation theory and initial conditions for $N$-body simulations
• Vector modes in $\Lambda$CDM: the gravitomagnetic potential in dark matter haloes from relativistic $N$-body simulations
• Higher multipoles of the galaxy bispectrum in redshift space
• The Fabric of the Universe: Exploring the cosmic web in 3D prints and woven textiles
• Baryon oscillations in galaxy and matter power-spectrum covariance matrices
• The Helmholtz Hierarchy: Phase Space Statistics of Cold Dark Matter
• Nonlinear reconstruction of features in the primordial power spectrum from large-scale structure
• Dark Energy Survey Year 1 Results: Wide field mass maps via forward fitting in harmonic space
• Constraining Halo Occupation Distribution and Cosmic Growth Rate using Multipole Power Spectrum
• An analytic halo approach to the bispectrum of galaxies in redshift space
• Constraining structure formation using EDGES
• Nonlinear stochastic biasing of halos: Analysis of cosmological N-body simulations and perturbation theories
• Revisiting Vainshtein Screening for fast N-body simulations
• Distinguishing Dirac vs. Majorana Neutrinos: a Cosmological Probe
• PINION: Physics-informed neural network for accelerating radiative transfer simulations for cosmic reionization
• Cosmological N-body simulations with generic hot dark matter
• A study on Cubic Galileon Gravity Using N-body Simulations
• Looking for a twist: probing the cosmological gravitomagnetic effect via weak lensing-kSZ cross correlations
• Halo abundances and shear in void models
• Origin and Evolution of Structure and Nucleosynthesis for Galaxies in the Local Group
• On the primordial origin of the smoothing excess in the $Planck$ temperature power spectrum in light of LSS data
• Nonlinear growth of structure in cosmologies with damped matter fluctuations
• Toward Accurate Modeling of Galaxy Clustering on Small Scales: Constraining the Galaxy-Halo Connection with Optimal Statistics
• A Study on the Baryon Acoustic Oscillation with Topological Data Analysis
• Analytical growth functions for cosmic structures in a $\Lambda$CDM Universe
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear halo density field
• The Ultramarine Simulation: properties of dark matter haloes before redshift 5.5
• Damping of the baryon acoustic oscillations in the matter power spectrum as a probe of the growth factor
• A semi-analytic model of pairwise velocity distribution between dark matter halos
• Toward Accurate Modeling of Galaxy Clustering on Small Scales: Halo Model Extensions and Lingering Tension
• One-point statistics of the Lagrangian displacement field
• An Application of Wiener Hermite Expansion to Non-linear Evolution of Dark Matter
• Using measurements of the cosmic bulk flow to constrain $f(R)$ Gravity
• Quintessential Isocurvature in Separate Universe Simulations
• Primordial non-Gaussianity with Angular correlation function: Integral constraint and validation for DES
• Study on the mapping of halo clustering from real space to redshift space
• Redshift-space equal-time angular-averaged consistency relations of the gravitational dynamics
• Validating galaxy clustering models with Fixed & Paired and Matched-ICs simulations: application to Primordial Non-Gaussianities
• Hybrid multi-fluid-particle simulations of the cosmic neutrino background
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• Particle initialization effects on Lyman-$\alpha$ forest statistics in cosmological SPH simulations
• Evolution mapping II: describing statistics of the non-linear cosmic velocity field
• BullFrog: Multi-step perturbation theory as a time integrator for cosmological simulations
• Void Probability Function of Simulated Surveys of high-redshift Lyman-Alpha Emitters
• Model independent measurement of the growth rate from the consistency relations of the LSS
• Fast estimation of aperture-mass statistics I: aperture mass variance and an application to the CFHTLenS data
• Proca-stinated Cosmology I: A N-body code for the vector Galileon
• The importance of the cosmic web and halo substructure for power spectra
• Bayesian deep learning for cosmic volumes with modified gravity
• Compactified Cosmological Simulations of the Infinite Universe
• Renormalization group and UV completion of cosmological perturbations: Gravitational collapse as a critical phenomenon
• Testing primordial non-Gaussianities on galactic scales at high redshift
• Optical galaxy cluster mock catalogs with realistic projection effects: Validations with the SDSS clusters
• Non-linear Structure Formation for Dark Energy Models with a Steep Equation of State
• Consistency relations for the Lagrangian halo bias and their implications
• Quantification of the multi-streaming effect in Redshift Space Distortion
• Capturing primordial non-Gaussian signatures in the late Universe by multi-scale extrema of the cosmic log-density field
• Complementary Cosmological Simulations
• Dark Matter with N-Body Numerical Simulations
• Constraining cosmological parameters using void statistics from the SDSS survey
• Nonlinear structure formation in Bound Dark Energy
• Higher moments of primordial non-Gaussianity and N-body simulations
• High accuracy power spectra including baryonic physics in dynamical Dark Energy models
• Halo Profile Evolution and Velocity Bias
• PhotoNs-GPU:A GPU accelerated cosmological simulation code
• Euclid preparation. Simulating thousands of Euclid spectroscopic skies
• Predicting the Merger Fraction of Lyman alpha Emitters from Redshift z~3 to z~7
• A High Throughput Workflow Environment for Cosmological Simulations
• Impacts of pre-initial conditions on anisotropic separate universe simulations: a boosted tidal response in the epoch of reionization
• Fitting functions on the cheap: the relative nonlinear matter power spectrum
• N-body simulations of structure formation in thermal inflation cosmologies
• Perturbation-theory informed integrators for cosmological simulations
• The galaxy power spectrum on the lightcone: deep, wide-angle redshift surveys and the turnover scale
• Measuring the Hubble constant through the galaxy pairwise peculiar velocity
• Void Lensing in Cubic Galileon Gravity
• Weak gravitational lensing as a probe of physical properties of substructures in dark matter halos
• Position-dependent Voronoi probability distribution functions for matter and halos
• Starting Cosmological Simulations from the Big Bang
• Reconstructing the Long-wavelength Matter Density Fluctuation Modes from the Scalar-Type Clustering Fossils
• Kickstarting Reionization with the First Black Holes: the effects of second-order perturbation theory in pre-reionization volumes
• Measuring neutrino mass and asymmetry with matter pairwise velocities
• Fourth-order perturbative equations in Lagrangian perturbation theory for a cosmological dust fluid
• Weak Lensing Constraints on Dark Matter-Baryon Interactions with $N$-Body Simulations and Machine Learning
• Fast simulation mapping: from standard to modified gravity cosmologies using the bias assignment method
• Cosmological Perturbation Theory as a Tool for Estimating Box-Scale Effects in N-body Simulations
• Transients from initial conditions based on Lagrangian perturbation theory in $N$-body simulations II: the effect of the transverse mode
• Including relativistic and primordial Non-Gaussianity contributions in cosmological simulations by modifying the initial condition
• Cosmological boost factor for dark matter annihilation at redshifts of $z=10$-$100$ using the power spectrum approach
• Proca-stinated Cosmology II: Matter, Halo, and Lensing Statistics in the vector Galileon
• Abundance of peaks and dips in three-dimensional mass and halo density fields: a test for cosmology
• Fourier imaging of non-linear structure formation
• Fast and accurate collapse-time predictions for collisionless matter
• Mass-Dependent Baryon Acoustic Oscillation Signal and Halo Bias
• Constraining $f_{NL}$ using the Large-Scale Modulation of Small-Scale Statistics
• Modelling the Evolution of Ly$\alpha$ Blobs and Ly$\alpha$ Emitters
• Scale-dependent halo bias and the squeezed limit bispectrum in the presence of radiation
• Differentiating Warm Dark Matter Models through 21cm Line Intensity Mapping: A Convolutional Neural Network Approach
• Kinetic Field Theory: Higher-Order Perturbation Theory
• Tomographic Alcock-Paczynski Method with Redshift Errors
• Probing the shape and internal structure of dark matter halos with the halo-shear-shear three-point correlation function
• Lagrangian Perturbation Theory : Exact One-Loop Power Spectrum in General Dark Energy Models
• Approximate methods for the generation of dark matter halo catalogs in the age of precision cosmology
• Bending the web: exploring the impact of modified gravity on the density field and halo properties within the cosmic web
• The reach of next-to-leading-order perturbation theory for the matter bispectrum
• Perturbation theory challenge for cosmological parameters estimation II.: Matter power spectrum in redshift space
• Studying baryon acoustic oscillations using photometric redshifts from the DESI Legacy Imaging survey DR9
• Method for Determining AGN Accretion Phase in Field Galaxies
• The Effect of Corner Modes in the Initial Conditions of Cosmological Simulations
• PySCo: A fast Particle-Mesh $N$-body code for modified gravity simulations in Python
• The Hidden Role of Anisotropies in Shaping Structure Formation in Cosmological N-Body Simulations
• The Pseudo Evolution of Galaxy-Cluster Masses and Its Connection to Mass Density Profile
• Approximating Density Probability Distribution Functions Across Cosmologies
• Impact of projection-induced optical selection bias on the weak lensing mass calibration of galaxy clusters
• Probing the Type 3 interacting dark-energy model using matter pairwise velocity
• Simulation budgeting for hybrid effective field theories
• Non-linear structure formation in the "Running FLRW" cosmological model
• Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
• Individual halo bias in models of $f(R)$ gravity
• On the universality of the halo mass function beyond $\Lambda$CDM cosmology
• Dynamical Evolution of Voids with Surrounding Gravitational Tidal Field
• Transients from Initial Conditions Based on Lagrangian Perturbation Theory in $N$-body Simulations III: The Case of GADGET-2 Code
• The same with less: The cosmic web of warm versus cold dark matter dwarf galaxies
• Impact of astrophysical effects on the dark matter mass constraint with 21cm intensity mapping
• Power Spectrum Emulators from Neural Networks and Tree-Based Methods
• Parity Violation in Galaxy Shapes: Primordial Non-Gaussianity
• Collisionless Dynamics and the Cosmic Web
• Universality of the halo mass function in modified gravity cosmologies
• Void probability function in the Quijote simulations
• Halo spin and orientation in Interacting Dark Matter Dark Energy Cosmology
• Sample Variance in Cosmological Observations with a Narrow Field-of-View
• The impact of projection effects on cluster observables: stacked lensing and projected clustering
• A revisited Correction to the Halo Mass Function for local-type Primordial non-Gaussianity
• A dynamics-based density profile for dark haloes. I. Algorithm and basic results
• An empirical nonlinear power spectrum overdensity-response
• New leaves of the tree: percolation analysis for cosmic web with discrete points
• Aletheia: Emulating the non-linear matter power spectrum in the context of evolution mapping
• Comparison of simulations and semi-analytical model for WDM subhalo mass functions
• Tomographic Alcock-Paczynski Test with Marked Correlation Functions