Journals / Turkish Journal of Physics / 2007 / Cilt: 31 - Sayı: 2
The Fluctuation theory and Gravitational Galaxy Clustering
- Journal
- Turkish Journal of Physics
- Pages
- 67–76
- 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.
Özet
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.