Correlation functions in statistical mechanics and astrophysics

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Astrophysics, Correlation, Galaxies, Statistical Mechanics, Distribution Functions, Liquids, Radial Distribution

Scientific paper

A general review of distribution functions reveals that the two- and three-point correlation functions familiar to galaxy studies may be identified with the total correlation functions relevant to the study of liquids. In this context the Peebles-Groth three-point correlation function is discussed. A recently derived two-point corelation function in polynomial form (Guillen and Liboff, 1988) is reviewed. Renormalization of this expression is found to bring it into very good agreement with the well-established r exp -gamma form (where r is intergalaxy displacement and gamma is a constant).

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