The Fluctuation theory and Gravitational Galaxy Clustering

Authors : Sajad MASOOD, Shakeel A SIMNANI and Manzoor A MALIK

Pages : 67-76

Doi:10.3906/zoo-1209-28

View : 16 | Download : 10

Publication Date : 0000-00-00

Article Type : Research Paper

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 binsert ignore into journalissuearticles values(nT-3);, ratio of gravitational correlation energy to insert ignore into journalissuearticles values(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 finsert ignore into journalissuearticles values(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