Synthesizing the observed distribution of galaxies

Details Synthesizing the observed distribution of galaxies Synthesizing the observed distribution of galaxies

Dec 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...437...35s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 437, no. 1, p. 35-55

Mathematics

Probability

11

Astronomical Models, Density Distribution, Distribution Functions, Galactic Clusters, Poisson Density Functions, Statistical Correlation, Universe, Mathematical Models, Statistical Distributions

Scientific paper

We develop a technique, based on the galaxy distribution function, to synthesize the observed distribution of galaxies. It populates space with a Poisson distribution of cluster centers and places particles around each center according to a specific prescription. We specify each cluster, assumed to be spherical, by three quantites: the number of particles in the cluster, its radius, and its radial density profile. The observed galaxy distribution function and its scale dependence gives the probablility that a cluster has N associated particles and also constrains the distribution of cluster radii and the radial density profiles. In our most successful models, identical particles are arranged in Poisson distributed spherical clusters that do not overlap, the radial density profile of any cluster resembles an isothermal sphere, and the probability that a cluster has N associated particles is given by the observed gravitational quasi-equilibrium distribution function. Various statistical analyses (two-point correlation function, counts-in-cells distribution funcitons, percolation) all show that this model is remarkably similar to the observed distribution of galaxies. This technique also illustrates the constraints that galaxy distribution functions place on models of large-scale structure. All these models should be tested against the observed galaxy distribution function over a wide range of scales.

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