Abstract
view Abstract Citations (15) References (9) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Correlation dynamics in an expanding Newtonian cosmology - The derivation of an exact equation Kandrup, H. E. Abstract This paper presents a new, exact equation appropriate for the discussion of correlations and irregularities in an expanding universe. The starting point of the analysis is an N-particle Liouville equation for the evolution of an N-particle distribution function, reformulated in a suitably defined 'average comoving' frame. A projection operator formalism is used to eliminate explicit reference to unwanted details so as to permit the derivation of an exact nonlinear, integro-differential equation for a reduced one-particle distribution. In the limit that detailed fluctuations or correlations may be completely neglected, one recovers Gilbert's collisionless Boltzmann equation. In the weak coupling approximation, one obtains a simple expression which, for the special case of a uniform spatial density, reduces to Fall and Severne's evolution equation. Publication: The Astrophysical Journal Pub Date: August 1982 DOI: 10.1086/160139 Bibcode: 1982ApJ...259....1K Keywords: Correlation Coefficients; Cosmology; Distribution Functions; Hydrodynamics; Liouville Equations; Universe; Maxwell-Boltzmann Density Function; Numerical Analysis; Astrophysics full text sources ADS |
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