Computer Science – Numerical Analysis
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...383l..33r&link_type=abstract
Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 383, Dec. 20, 1991, p. L33-L36. Research sponsored by AN SSSR and
Computer Science
Numerical Analysis
38
Cosmology, Galactic Clusters, Many Body Problem, Perturbation Theory, Phase Shift, Space Density, Analytic Functions, Density Distribution, Numerical Analysis, Power Spectra
Scientific paper
The phases of the Fourier components of an initially Gaussian density field are examined to see how the phases are shifted away from their initial values as the field evolves gravitationally. The analytic expression for the phase shift, in second-order perturbation theory, is presented. To investigate the fully nonlinear regime, 2D N-body simulations were run. The power spectra used were of the form P(k) varies as k exp n, with n = -1 and n = 0. The numerical results show that second-order perturbation theory soon breaks down when computing the phase shifts. As a function of the expansion factor, the wavenumber k-phi at which the mean magnitude of the phase shift is equal to pi/4 is found. The wavenumber k-phi is proportional to the wavenumber kw at which the peculiar velocity goes nonlinear. For n = -1, k-phi is approximately equal to 0.2kw; for n = 0, k-phi is approximately equal to 0.3 kw. The phases of the Fourier components are significantly shifted from their initial values at a scale on which their amplitudes are still in the linear stage of growth.
Gramann Mirt
Ryden Barbara S.
No associations
LandOfFree
Phase shifts in gravitationally evolving density fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Phase shifts in gravitationally evolving density fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase shifts in gravitationally evolving density fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1536907