Galaxy Distributions and Tsallis Statistical Mechanics
Astrophysics
2007-05-23 v1 Statistical Mechanics
General Relativity and Quantum Cosmology
Abstract
Large-scale astrophysical systems are non-extensive due to their long-range force of gravity. Here we show an approach toward the statistical mechanics of such self-gravitating systems (SGS). This is a generalization of the standard statistical mechanics based on the new definition of entropy; Tsallis statistical mechanics. Developing the composition of entropy and the generalized Euler relation, we investigate the galaxy distributions in count-in-cell method. This is applied to the data of CfA II South redshift survey.
Cite
@article{arxiv.astro-ph/0004004,
title = {Galaxy Distributions and Tsallis Statistical Mechanics},
author = {Akika Nakamichi and Izumi Joichi and Osamu Iguchi and Masahiro Morikawa},
journal= {arXiv preprint arXiv:astro-ph/0004004},
year = {2007}
}
Comments
8 pages including 2 eps figures