Statistics – Computation
Scientific paper
Sep 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...248..885p&link_type=abstract
Astrophysical Journal, Part 1, vol. 248, Sept. 15, 1981, p. 885-897. NSF-supported research.
Statistics
Computation
63
Adiabatic Conditions, Big Bang Cosmology, Galactic Evolution, Mass Distribution, Perturbation Theory, Astronomical Models, Autocorrelation, Linear Equations, Power Spectra
Scientific paper
Assuming linear primeval adiabatic perturbations, the autocorrelation function of the mass distribution after decoupling of matter and radiation is computed by means of a new numerical method and the results are compared to what is inferred from the present galaxy distribution. The Friedmann-Lemaitre model computation, containing radiation, zero-mass neutrinos, hydrogen and helium, take the primeval power spectrum of density fluctuations to approximate a k-to-the-nu power law. It is shown that if nu is less than two, the coherence length of the residual mass distribution is too large, and that when the amplitude is adjusted to make the first generation of objects form at zeta values lower than two, there are unacceptably large fluctuations in the mass distributions that are put on scales between 12 and 40 Mpc.
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