Statistical Mechanics of Self--Gravitating System : Cluster Expansion Method
Astrophysics
2009-10-30 v1 General Relativity and Quantum Cosmology
Abstract
We study statistical mechanics of the self--gravitating system applying the cluster expansion method developed in solid state physics. By summing infinite series of diagrams, we derive a complex free energy whose imaginary part is related to the relaxation time of the system. Summation of another series yields two--point correlation function whose correlation length is essentially given by the Jeans wavelength of the system.
Keywords
Cite
@article{arxiv.astro-ph/9808160,
title = {Statistical Mechanics of Self--Gravitating System : Cluster Expansion Method},
author = {Osamu Iguchi and Tomomi Kurokawa and Masahiro Morikawa and Akika Nakamichi and Yasuhide Sota and Takayuki Tatekawa and Kei--ichi Maeda},
journal= {arXiv preprint arXiv:astro-ph/9808160},
year = {2009}
}
Comments
4 pages including 2 eps figures, RevTex