A gravitational thermodynamic approach to probe the primordial spectrum of cosmological density fluctuations

Details A gravitational thermodynamic approach to probe the primordial spectrum of cosmological density fluctuations A gravitational thermodynamic approach to probe the primordial spectrum of cosmological density fluctuations

Feb 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...350..492s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 350, Feb. 20, 1990, p. 492-501. Research supported by the Itoh Science Foun

Statistics

Computation

33

Cosmology, Density (Mass/Volume), Gravitation Theory, Many Body Problem, Thermodynamics, Computational Astrophysics, Computerized Simulation, Dark Matter, Galactic Clusters, Spectral Methods

Scientific paper

Gravitational thermodynamic theory predicts the probability distribution function f(N) for finding N galaxies in a sampling volume V. The theoretical function f(N), which contains a single parameter b, is compared with the results of the N-body simulations emerging from various density perturbation spectra in a flat universe. It is shown, however, that the N-body results match the predicted function f(N) quite well only when the parameter b is regarded as scale-dependent, i.e., b = b(R), where R is a linear size of a sampling volume V. In fact, b(R), obtained by fitting the actual distribution to f(N), a turns out to be a useful measure to quantify the present clustering in the universe. This measure is very sensitive to linear structure on large scales.

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