Gravitational clustering for a multicomponent system with a distribution of temperatures

Statistics – Computation

Scientific paper

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Computational Astrophysics, Galactic Clusters, Galactic Evolution, Gravitational Effects, Nonlinear Systems, Temperature Distribution, Cosmology, Jeans Theory, Mass Distribution, Maxwell-Boltzmann Density Function, Newton Theory

Scientific paper

This paper examines the onset of gravitational clustering, in the context of a homogeneous and isotropic Newtonian cosmology, for a complicated system of point-mass 'particles' e.g., galaxies, characterized by a distribution of masses and temperatures. The principal conclusion is that, to the extent that nonlinear and collective effects may be neglected, the spatial clustering of any two species of particles may be described as if the two constituents were characterized by a single effective temperature, the value of which depends only upon the temperatures of the two constituents, and the ratio of their masses. It is also seen that the 'natural' scale on which collective effects will be manifest is in fact the Jeans length appropriate for a multicomponent system.

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