The Fluctuation theory and Gravitational Galaxy Clustering

Authors

SAJAD MASOOD
SHAKEEL A. SIMNANI
MANZOOR A. MALIK

DOI

-

Abstract

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.

Keywords

Cosmology - gravitation - galaxies: Clustering - method: Analytical.

First Page

67

Last Page

76

Recommended Citation

MASOOD, SAJAD; SIMNANI, SHAKEEL A.; and MALIK, MANZOOR A. (2007) "The Fluctuation theory and Gravitational Galaxy Clustering," Turkish Journal of Physics: Vol. 31: No. 2, Article 2. Available at: https://journals.tubitak.gov.tr/physics/vol31/iss2/2