Measuring the Tidal Response of Structure Formation: Anisotropic Separate Universe Simulations using TreePM

Abstract

We present anisotropic "separate universe" simulations which modify the N-body code Gadget-4 in order to represent a large-scale tidal field through an anisotropic expansion factor. These simulations are used to measure the linear, quasi-linear and nonlinear response of the matter power spectrum to a spatially uniform trace-free tidal field up to wavenumber $k=7h{\text{Mpc}}^{-1}$. Together with the response to a large-scale overdensity measured in previous work, this completely describes the nonlinear matter bispectrum in the squeezed limit. We find that the response amplitude does not approach zero on small scales in physical coordinates, but rather a constant value at $z=0$, $R_K\approx 0.5$ for $k\ge 3h{\text{Mpc}}^{-1}$ up to the scale where we consider our simulations reliable, $k\le 7h{\text{Mpc}}^{-1}$ at $z=0$. This shows that even the inner regions of haloes are affected by the large-scale tidal field. We also measure directly the alignment of halo shapes with the tidal field, finding a clear signal which increases with halo mass.

arXiv comment19 pages, 9 figures

References in corpus (53)

• Planck 2015 results. XIII. Cosmological parameters
• The cosmological simulation code GADGET-2
• Efficient Computation of CMB anisotropies in closed FRW models
• Populating a cluster of galaxies - I. Results at z=0
• Intrinsic alignment-lensing interference as a contaminant of cosmic shear
• Intrinsic and Extrinsic Galaxy Alignment
• Simulating cosmic structure formation with the GADGET-4 code
• The Evolution of Dark Matter Halo Properties in Clusters, Filaments, Sheets and Voids
• Power Spectrum Super-Sample Covariance
• Intrinsic Correlation of Galaxy Shapes: Implications for Weak Lensing Measurements
• Toward a Measurement of the Cosmological Geometry at z~2: Predicting Lyman-alpha Forest Correlation in Three Dimensions, and the Potential of Future Data Sets
• Super-Sample Covariance in Simulations
• Single-Field Consistency Relations of Large Scale Structure
• Symmetries and Consistency Relations in the Large Scale Structure of the Universe
• Initial conditions to cosmological N-body simulations, or how to run an ensemble of simulations
• Galaxy Bias and non-Linear Structure Formation in General Relativity
• Galaxy alignments: Theory, modelling and simulations
• Intrinsic correlation of halo ellipticity and its implications for large-scale weak lensing surveys
• Tidal alignment of galaxies
• Cluster Alignments and Ellipticities in LCDM Cosmology
• Testing the tidal alignment model of galaxy intrinsic alignment
• Separate Universe Simulations
• Imprint of inflation on galaxy shape correlations
• TreePM: A code for Cosmological N-Body Simulations
• Accurate initial conditions for cosmological N-body simulations: Minimizing truncation and discreteness errors
• An EFT description of galaxy intrinsic alignments
• Cosmological Information in the Intrinsic Alignments of Luminous Red Galaxies
• An adaptively refined phase-space element method for cosmological simulations and collisionless dynamics
• Implementing the DC Mode in Cosmological Simulations with Supercomoving Variables
• The angle-averaged squeezed limit of nonlinear matter N-point functions
• Complete super-sample lensing covariance in the response approach
• Linear response to long wavelength fluctuations using curvature simulations
• Responses in Large-Scale Structure
• Large-scale tidal effect on redshift-space power spectrum in a finite-volume survey
• Galaxy power-spectrum responses and redshift-space super-sample effect
• Quantification of discreteness effects in cosmological N-body simulations: I. Initial Conditions
• Can weak lensing surveys confirm BICEP2 ?
• Separate Universe Simulations with IllustrisTNG: baryonic effects on power spectrum responses and higher-order statistics
• Angular averaged consistency relations of large-scale structures
• Response Approach to the Matter Power Spectrum Covariance
• Cosmological N-Body Simulations with a Large-Scale Tidal Field
• Cosmic tidal reconstruction
• Simulating the Complexity of the Dark Matter Sheet I: Numerical Algorithms
• sCOLA: The N-body COLA Method Extended to the Spatial Domain
• Equal-time Consistency Relations in the Large-Scale Structure of the Universe
• The median density of the Universe
• On the equivalence between the effective cosmology and excursion set treatments of environment
• Alignments of dark matter halos with large-scale tidal fields: mass and redshift dependence
• Perfectly parallel cosmological simulations using spatial comoving Lagrangian acceleration
• Large Scale Structure Reconstruction with Short-Wavelength Modes
• Particle linear theory on a self-gravitating perturbed cubic Bravais lattice
• Power spectrum in the presence of large-scale overdensity and tidal fields: breaking azimuthal symmetry
• Cosmic Tides

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• Large-scale dark matter simulations
• Accurate initial conditions for cosmological N-body simulations: Minimizing truncation and discreteness errors
• Galaxy bias from forward models: linear and second-order bias of IllustrisTNG galaxies
• Power spectrum of halo intrinsic alignments in simulations
• Cosmological simulation in tides: power spectra and halo shape responses, and shape assembly bias
• Responses of Halo Occupation Distributions: a new ingredient in the halo model & the impact on galaxy bias
• Anisotropic separate universe simulations
• The Ly$\alpha$ forest flux correlation function: a perturbation theory perspective
• Gravitational wave fossils in nonlinear regime: halo tidal bias and intrinsic alignments from gravitational wave separate universe simulations
• HYMALAIA: A Hybrid Lagrangian Model for Intrinsic Alignments
• Quadratic shape biases in three-dimensional halo intrinsic alignments
• Local Primordial Non-Gaussianities and Super-Sample Variance
• Lagrangian approach to super-sample effects on biased tracers at field level: galaxy density fields and intrinsic alignments
• Halo assembly bias from a deep learning model of halo formation
• Analysis method for 3D power spectrum of projected tensor field with fast estimator and window convolution modelling: an application to intrinsic alignments
• A rising tide: Intrinsic alignments since the turn of the millennium
• Impacts of pre-initial conditions on anisotropic separate universe simulations: a boosted tidal response in the epoch of reionization
• Fast and accurate collapse-time predictions for collisionless matter
• Probabilistic Estimators of Lagrangian Shape Biases: Universal Relations and Physical Insights
• The Boosted Potential
• Probabilistic Lagrangian bias estimators and the cumulant bias expansion
• A semi-analytic estimate for the effective sound speed counterterm in the EFTofLSS
• An empirical nonlinear power spectrum overdensity-response
• Response approach to the integrated shear 3-point correlation function: the impact of baryonic effects on small scales