The Fluctuation theory and Gravitational Galaxy Clustering

Details The Fluctuation theory and Gravitational Galaxy Clustering The Fluctuation theory and Gravitational Galaxy Clustering

Mar 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007tjph...31...67m&link_type=abstract

Turkish Journal of Physics, vol. 31, Issue 2, p.67-76

Physics

Cosmology - Gravitation - Galaxies: Clustering - Method: Analytical.

Scientific paper

The description of gravitational galaxy clustering evolving through quasi-equilibrium thermodynamics is examined on the basis of thermodynamic fluctuations and statistical mechanical ensemble techniques. Second order fluctuation moments lead to an ordinary differential equation for b(nT-3), ratio of gravitational correlation energy to (twice) the kinetic energy of peculiar velocities. The general solution of the differential equation gives a functional form of b in terms of a scale invariant function nT-3, in conformity with the earlier results. A method for finding analytic expression for probability distribution function f(N) of gravitational clustering in a expanding universe is also developed on the basis of ensemble theory. The results can provide a deeper understanding of gravitational clustering on the basis of statistical mechanics.

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