Inhomogeneous distribution of particles and temperature in self-gravitating system
Statistical Mechanics
2016-04-12 v1
Abstract
Self-gravitating system are non-equilibrium a priory. A new approach is proposed, which employs a non-equilibrium statistical operator into account inhomogeneous distribution of particles and temperature. The method involves the saddle - point procedure to find the dominant contribution to the partition function and thus to obtain all thermodynamic parameters of the system. Probable peculiar features in the behavior of self-gravitating system are considered for various condition. The equation of state for self-gravitating system has been obtained. A new length of statistical instability and parameter of the spatial inhomogeneous distribution of particles and temperature are obtained for real gravitating system.
Keywords
Cite
@article{arxiv.1604.02900,
title = {Inhomogeneous distribution of particles and temperature in self-gravitating system},
author = {B. I. Lev},
journal= {arXiv preprint arXiv:1604.02900},
year = {2016}
}
Comments
10 pages, no figures