Dark matter vorticity and velocity dispersion from truncated Dyson$\unicode{x2013}$Schwinger equations

Abstract

Large-scale structure formation is studied in a kinetic theory approach, extending the standard perfect pressureless fluid description for dark matter by including the velocity dispersion tensor as a dynamical degree of freedom. The evolution of power spectra for density, velocity and velocity dispersion degrees of freedom is investigated in a non-perturbative approximation scheme based on the Dyson$\unicode{x2013}$Schwinger equation. In particular, the generation of vorticity and velocity dispersion is studied and predictions for the corresponding power spectra are made, which qualitatively agree well with results obtained from $N$-body simulations. It is found that velocity dispersion grows strongly due to non-linear effects and at late times its mean value seems to be largely independent of the initial conditions. By taking this into account, a rather realistic picture of non-linear large-scale structure formation can be obtained, albeit the numerical treatment remains challenging, especially for very cold dark matter models.

arXiv comment43 pages, 15 figures

References in corpus (56)

• Planck 2015 results. XIII. Cosmological parameters
• The cosmological simulation code GADGET-2
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• Renormalized Cosmological Perturbation Theory
• Nonlinear Evolution of Baryon Acoustic Oscillations
• Memory of Initial Conditions in Gravitational Clustering
• Correcting for the alias effect when measuring the power spectrum using FFT
• Primordial Magnetic Fields and Causality
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• The Lagrangian-space Effective Field Theory of Large Scale Structures
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Resumming Cosmic Perturbations
• Tracing the Dark Matter Sheet in Phase Space
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Non-linear Evolution of Baryon Acoustic Oscillations from Improved Perturbation Theory in Real and Redshift Spaces
• The Cosmic Web, Multi-Stream Flows, and Tessellations
• Dark matter clustering: a simple renormalization group approach
• The Properties of Cosmic Velocity Fields
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
• The New Horizon Run Cosmological N-Body Simulations
• GOTPM: A Parallel Hybrid Particle-Mesh Treecode
• Large-N expansions applied to gravitational clustering
• Coarse-Grained Cosmological Perturbation Theory
• Path integral methods for the dynamics of stochastic and disordered systems
• Resummed propagators in multi-component cosmic fluids with the eikonal approximation
• Baryonic Acoustic Oscillations via the Renormalization Group
• A new approach to gravitational clustering: a path-integral formalism and large-N expansions
• Large scale structure from viscous dark matter
• Small scale aspects of warm dark matter : power spectra and acoustic oscillations
• Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
• Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
• The Generation of Vorticity in Cosmological N-body Simulations
• Power spectra in the eikonal approximation with adiabatic and non-adiabatic modes
• How to generate a significant effective temperature for cold dark matter, from first principles
• Using the Zeldovich dynamics to test expansion schemes
• Statistical Cosmology with Quadratic Density Fields
• Large-scale structure perturbation theory without losing stream crossing
• Expansion schemes for gravitational clustering: computing two-point and three-point functions
• Next-to-leading resummations in cosmological perturbation theory
• Large-Scale Velocity Dispersion and the Cosmic Web
• A New Angle on Gravitational Clustering
• Vorticity generation in the Universe: A perturbative approach
• Renormalization-group flow of the effective action of cosmological large-scale structures
• Perturbation theory with dispersion and higher cumulants: non-linear regime
• Perturbation theory with dispersion and higher cumulants: framework and linear theory
• The dark matter dispersion tensor in perturbation theory
• Finding closure: approximating Vlasov-Poisson using finitely generated cumulants
• Eulerian and Lagrangian propagators for the adhesion model (Burgers dynamics)
• Evolution of dark matter velocity dispersion
• The Helmholtz Hierarchy: Phase Space Statistics of Cold Dark Matter
• The dark matter bispectrum from effective viscosity and one-particle irreducible vertices
• Cosmological functional renormalisation group, extended Galilean invariance and the sweeping effect

Cited by in corpus (2)

• Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
• Phase-space perturbation theory for cosmic large-scale structure