Computer Science – Numerical Analysis
Scientific paper
Feb 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...277....1k&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 277, Feb. 1, 1984, p. 1-18. Research supported by the Robert A. Welch Found
Computer Science
Numerical Analysis
8
Correlation, Cosmology, Distribution Functions, Galactic Clusters, Debye-Huckel Theory, Hubble Constant, Liouville Equations, Markov Processes, Numerical Analysis, Perturbation Theory
Scientific paper
Projection techniques are used to formulate exact non-Markovian equations for the cosmological pair correlation which involve only the reduced one- and two-particle distribution functions. In a limiting case one recovers the linear theory considered by Fall and Saslaw. Alternatively, by exploiting, to a fuller degree, the symmetries of the problem, one obtains a description which isolates, in a natural way, upon a gravitational analog of electrostatic shielding. This analogy suggests the possibility that, on certain scales, one should observe a distinct anticorrelation. A study of these exact equations should serve to improve one's understanding of the evolution of the pair correlation and, as such, may suggest a new perturbation expansion. Alternatively, these equations may, at least in principle, be subjected to a brute-force numerical analysis.
Kandrup Henry E.
Kandrup S. H.
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