Nonlinear evolution of cosmological power spectra

Abstract

Hamilton et al. have suggested an invaluable scaling formula which describes how the power spectra of density fluctuations evolve into the nonlinear regime of hierarchical clustering. This paper presents an extension of their method to low-density universes and universes with nonzero cosmological constant. We pay particular attention to models with large negative spectral indices, and give a spectrum-dependent fitting formula which is of significantly improved accuracy by comparison with an earlier version of this work. The tendency of nonlinear effects to increase power on small scales is stronger for spectra with more negative spectral indices, and for lower densities. However, for low-density models with a cosmological constant, the nonlinear effects are less strong than for an open universe of the same $\Omega$.

MNRAS in press. 8 pages TeX including Postscript figures. Uses mn.tex and epsf.tex

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• Dynamics of gravitational clustering IV. The probability distribution of rare events
• The Subaru/XMM-Newton Deep Survey (SXDS) -VII. Clustering Segregation with Ultraviolet and Optical Luminosities of Lyman-Break Galaxies at z~3
• Scale-dependent power spectrum from initial excited-de Sitter modes
• Error Estimates for Measurements of Cosmic Shear
• Cumulative Neutrino and Gamma-Ray Backgrounds from Halo and Galaxy Mergers
• Hierarchy in the Phase Space and Dark Matter Astronomy
• High-resolution imaging of the cosmic mass distribution from gravitational lensing of pregalactic HI
• Weak Gravitational Lensing of High-Redshift 21 cm Power Spectra
• Nonlinear Gravitational Clustering: dreams of a paradigm
• Analytical Predictions for Statistics of Cosmic Shear: Tests Against Simulations
• A hierarchical field-level inference approach to reconstruction from sparse Lyman-$\alpha$ forest data
• The cosmological light-cone effect on the power spectrum of galaxies and quasars in wide-field redshift surveys
• Perturbation theory with dispersion and higher cumulants: non-linear regime
• The Effect of Weak Gravitational Lensing on the Cosmic Microwave Background Anisotropy: Flat versus Open Universes
• Redshift-space distortions of galaxies, clusters and AGN: testing how the accuracy of growth rate measurements depends on scales and sample selections
• Cosmological Information in the Gravitational Lensing of Pregalactic HI
• Precision of diffuse 21-cm lensing
• The power spectrum of the CfA/SSRS UZC galaxy redshift survey
• The power spectrum of galaxy clustering in the APM survey
• Extracting the late-time kinetic Sunyaev-Zel'dovich effect
• Effects of the size of cosmological N-Body simulations on physical quantities - III: Skewness
• Stochastic Biasing and Weakly Non-linear Evolution of Power Spectrum
• Extending Recovery of the Primordial Matter Power Spectrum
• Cosmology from weak lensing alone and implications for the Hubble tension
• Weak Lensing of the CMB: Power Spectrum Covariance
• Nonlinearities in modified gravity cosmology I: signatures of modified gravity in the nonlinear matter power spectrum
• Two-point correlation functions of X-ray selected clusters of galaxies: theoretical predictions for flux-limited surveys
• Gravitational Dynamics of an Infinite Shuffled Lattice: Particle Coarse-grainings, Non-linear Clustering and the Continuum Limit
• Topology of large-scale structure in the 2dF Galaxy Redshift Survey
• A Numerical Renormalization Solution for Self-Similar Cosmic Structure Formation
• Evolution mapping: a new approach to describe matter clustering in the non-linear regime
• Evolution of the Cosmological Density Distribution Function: A New Analytical Model
• Lensing effect on the relative orientation between the Cosmic Microwave Background ellipticities and the distant galaxies
• Prospects for Dark Energy Evolution: a Frequentist Multi-Probe Approach
• Modeling of weak lensing statistics. I. Power spectrum and bispectrum
• Self-Similar Bumps and Wiggles: Isolating the Evolution of the BAO Peak with Power-law Initial Conditions
• The Infrared Glow of First Stars
• Non-linear gravitational clustering of cold matter in an expanding universe: indications from 1D toy models
• Lensing magnification effects on the cosmic shear statistics
• The Adaptive TreePM: An Adaptive Resolution Code for Cosmological N-body Simulations
• Genus statistics for galaxy clusters and nonlinear biasing of dark matter halos
• Scale Transformations, Tree-level Perturbation Theory, and the Cosmological Matter Bispectrum
• Measuring the galaxy power spectrum with multiresolution decomposition -- II. diagonal and off-diagonal power spectra of the LCRS galaxies
• On the estimation of gravity-induced non-Gaussianities from weak lensing surveys
• The cross-correlation between 3d cosmic shear and the integrated Sachs-Wolfe effect
• Superclusters with thermal SZ effect surveys
• The redshift and scale dependence of the cosmic shear signal from numerical simulations
• Straightening the Density-Displacement Relation with a Logarithmic Transform
• A new measure of ${\sigma }_8$ using the lensing dispersion in high-$z$ type Ia SNe
• On Mitigation of the Uncertainty in Nonlinear Matter Clustering for Cosmic Shear Tomography
• Two-point correlation function of high-redshift objects on a light-cone: Effect of the linear redshift-space distortion
• Gravitational Lensing Effect on the Two-point Correlation of Hotspots in the Cosmic Microwave Background
• Spherical collapse in Generalized Dark Matter models
• Cosmic Microwave Background Bispectrum from the Lensing--Rees-Sciama Correlation Reexamined: Effects of Non-linear Matter Clustering
• Time evolution of the stochastic linear bias of interacting galaxies on linear scales
• Retrieving the three-dimensional matter power spectrum and galaxy biasing parameters from lensing tomography
• On the Angular Correlation Function of SZ Clusters : Extracting cosmological information from a 2D catalog
• Shear and magnification angular power spectra and higher-order moments from weak gravitational lensing
• Theoretical Estimates of 2-point Shear Correlation Functions Using Tangled Magnetic Field Power Spectrum
• Cosmic Statistics through Weak Lenses
• Some statistical properties of the Burgers equation with white-noise initial velocity
• Transient Weak-Lensing by Cosmological Dark Matter Microhaloes
• Redshift Evolution of the Nonlinear Two-Point Correlation Function
• Cosmic Dust Induced Flux Fluctuations: Bad and Good Aspects
• Galaxy-QSO Correlation induced by Weak Gravitational Lensing arising from Large-Scale Structure
• Optimising Spectroscopic and Photometric Galaxy Surveys: Same-sky Benefits for Dark Energy and Modified Gravity
• Impact of a non-Gaussian density field on Sunyaev-Zeldovich observables
• Noise Estimates for Measurements of Weak Lensing from the Lyman-alpha Forest
• Higher multipoles of the galaxy bispectrum in redshift space
• Decay-Produced Neutrino Hot Dark Matter
• The redshift evolution of bias and baryonic matter distribution
• The finite size effect of galaxies on the cosmic virial theorem and the pairwise peculiar velocity dispersions
• Designing Weak Lensing Surveys: A Generalised Eigenmode Analysis
• Simulations for 21 cm radiation lensing at EoR redshifts
• Principal Component Analysis of Weak Lensing Surveys
• Predicting the clustering properties of galaxy clusters detectable for the Planck satellite
• Cosmic Mach Number as a Function of Overdensity and Galaxy Age
• Probing cosmology with weak lensing selected clusters II: Dark energy and f(R) gravity models
• Growth of correlations in gravitational N-body simulations
• Explaining low l anomalies in the CMB power spectrum with resonant superstring excitations during inflation
• Validating the methodology for constraining the linear growth rate from clustering anisotropies
• A Modified TreePM Code
• Gravitational collapse in an expanding background and the role of substructure II: Excess power at small scales and its effect of collapse of structures at larger scales
• Measuring the Deviation from the Linear and Deterministic Bias through Cosmic Gravitational Lensing Effects
• A Phantom does not Result from a Backreaction
• Uncertainties in the S-Z selected cluster angular power spectrum
• The cosmic shear three-point functions
• Possible Evidence for Planck-Scale Resonant Particle Production during Inflation from the CMB Power Spectrum
• Detectability of Gravitational Lensing Effect on the Two-point Correlation Function of Hotspots in the CMB maps
• What can the spatial distribution of galaxy clusters tell about their scaling relations?
• Signatures of the Baryon Acoustic Oscillations on the Convergence Power Spectrum of Weak lensing by Large Scale Structure
• Non-Gaussian Tails of Cosmological Density Distribution Function from Dark Halo Approach
• The bispectrum covariance beyond Gaussianity: A log-normal approach
• Cosmology with Weak Lensing Surveys
• A Simple Method for Computing the Non-Linear Mass Correlation Function with Implications for Stable Clustering
• A new test for the stable clustering hypothesis
• Cell Count Moments in the Halo Model
• Cosmological constraints from a 2D SZ catalog
• Cluster mass function in mixed models
• Non-linear power spectra of dark and luminous matter in halo model of structure formation
• Gravitational collapse in an expanding background and the role of substructure I: Planar collapse
• The non-linear evolution of bispectrum from the scale-free N-body simulation
• Biasing and Genus Statistics of Dark Matter Halos in the Hubble Volume Simulation
• Statistical distribution of gravitational-lensing excursion angles: Winding ways to us from the deep universe
• Redshift distortions in one-dimensional power spectra
• Weighing the Light Gravitino Mass with Weak Lensing Surveys
• Mean-pairwise peculiar velocity in cosmological N-body simulations: time-variation, scale-dependence and stable condition
• The effects of anti-correlation on gravitational clustering
• Cosmological parameter determination from Planck and SDSS data in LambdaCHDM cosmologies
• Stable clustering and the resolution of dissipationless cosmological N-body simulations
• Complementarity of Future Dark Energy Probes
• Performance of the optimized Post-Zel'dovich approximation for CDM models in arbitrary FLRW cosmologies
• Measuring Omega/b with weak lensing
• Forward modelling of quasar light curves and the cosmological matter power spectrum on milliparsec scales
• The removal of shear-ellipticity correlations from the cosmic shear signal: Influence of photometric redshift errors on the nulling technique
• Covariance of Weak Lensing Observables
• Observations of Ly$\alpha$ Emitters at High Redshift
• On the reliability of initial conditions for dissipationless cosmological simulations
• On Cross-correlating Weak Lensing Surveys
• Modeling Pairwise Peculiar Velocity Distribution Function of Dark Matter from Halo Density Profiles
• Lensing-induced Non-Gaussian Signatures in the Cosmic Microwave Background
• Testing the Reliability of Fast Methods for Weak Lensing Simulations: WL-MOKA on PINOCCHIO
• Gravitational Collapse in an Expanding Universe: Scaling Relations for Two-Dimensional Collapse Revisited
• Gravitational Lensing as Signal and Noise in Lyman-alpha Forest Measurements
• Weak lensing forecasts for dark energy, neutrinos and initial conditions
• A method to extract the redshift distortions beta parameter in configuration space from minimal cosmological assumptions
• Gravitational clustering in a D-dimensional Universe
• QSO lensing magnification associated with galaxy groups
• Origin of Metals around Galaxies I: Catalogs of Metal-line Absorption Doublets from High-Resolution Quasar Spectra
• Evolution of Power Spectrum in Non-Gaussian Models
• Lensing of 21cm Absorption "Halos" of $z\sim$20-30 First Galaxies
• Cosmological simulations of structure formation and the Vlasov equation
• Universality of power law correlations in gravitational clustering
• The Standard Model, Dark Matter, and Dark Energy: From the Sublime to the Ridiculous
• Isodensity Statistics on Clustering of High-z Objects in Cosmological Redshift-spaces
• The pair-wise velocity dispersion of galaxies: effects of non radial motions
• Quasi-self-similar evolution of the two-point correlation function: strongly nonlinear regime in Omega_0 < 1 universes
• CMB B-mode polarization from Thomson scattering in the local universe
• DESI forecast for Dark Matter-Neutrino interactions using EFTofLSS
• Numerical Simulations of the Dark Universe: State of the Art and the Next Decade
• Neutrino Masses, Dark Energy and the Gravitational Lensing of Pregalactic HI
• Models for the Clustering of Far-Infrared and Sub-millimetre selected Galaxies
• Towards a Gravity Dual for the Large Scale Structure of the Universe
• The clustering properties of high-redshift passive galaxies
• Cluster Correlation in Mixed Models
• On the origin of transient features in cosmological N-Body Simulations
• Scalar-field quintessence by cosmic shear: CFHT data analysis and forecasts for DUNE
• Self-similarity and stable clustering in a family of scale-free cosmologies
• Correlation between the Mean Matter Density and the Width of the Saturated Lyman Alpha Absorption
• On the Cross-Correlation between Dark Matter Distribution and Secondary CMB Anisotropies by Ionized Intergalactic Medium
• Constraints on the birth of the universe and origin of cosmic dark flow
• Probing Density Fluctuations using the FIRST Radio Survey
• Nonlinear Cosmological Structure Formation
• Dark energy constraints and correlations with systematics from CFHTLS weak lensing, SNLS supernovae Ia and WMAP5
• The power spectrum of the Lyman-alpha clouds
• Mapping the dark matter using weak lensing
• Aletheia: Emulating the non-linear matter power spectrum in the context of evolution mapping
• Probing the Dark Side of Gravitational Clustering: Weak Lensing Statistics at Large Smoothing Angle
• Cosmological constraints from clustering properties of galaxy clusters
• Cosmology from Large Scale Structure