Quantitative descriptions of nonlinear gravitational galaxy clustering

Details Quantitative descriptions of nonlinear gravitational galaxy clustering Quantitative descriptions of nonlinear gravitational galaxy clustering

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990pasj...42..481i&link_type=abstract

Astronomical Society of Japan, Publications (ISSN 0004-6264), vol. 42, no. 4, 1990, p. 481-503. Research supported by the Yamada

Statistics

Computation

19

Computational Astrophysics, Galactic Clusters, Gravitational Effects, Astronomical Models, Many Body Problem, Nonlinear Equations, Probability Distribution Functions, Spatial Distribution

Scientific paper

Results are presented on three different quantitative analyses of nonlinear gravitational galaxy clustering, including determinations of two-point correlation function, xi(r); fractal dimensions, Dq; and f(N) statistics. The analyses show that, for models with n = 1 and n = 0, the exponent of the correlation function (which has a general form xi/r/ proportional to r exp -gamma) is about 2 in the nonlinear regime. It is shown that the thermodynamic f(N), which connnects the fractal dimensions with the exponent of xi(r) can describe the distribution of galaxies in the nonlinear regime.

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