Other
Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983mnras.205..207e&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 205, Oct. 1983, p. 207-229.
Other
42
Cosmology, Density Wave Model, Galactic Clusters, Galactic Evolution, Gravitational Collapse, Mass Distribution, Extremum Values, Fluctuation Theory, Mass Spectra, Perturbation Theory, Space Density
Scientific paper
A region with a significantly perturbed mean density or velocity field is the precursor of a galaxy or cluster of galaxies according to the gravitational instability picture of galaxy formation. In relating the early perturbations to the currently observable structures, it is necessary to distinguish between perturbations that merge with other perturbations and those which form galaxies by themselves. It is noted that the latter can be construed as 'isolated' fluctuations; they conserve mass during their evolution so that the present distribution of over-dense regions provides a direct record of these fluctuations at earlier epochs. The relationship between isolated fluctuations and current observations is outlined. Particular attention is given to computing the mass spectra of 'extremal mass' fluctuations for a Poisson distribution of point masses. The spectra of isolated fluctuations can be derived from the spectra of extremal fluctuations once a determination is made of the dynamics of small perturbations in a uniform background. The space density of extremal perturbations is found to be nearly constant per logarithmic mass interval at low masses; it then falls off sharply.
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