What does the nonextensive parameter q stand for in self-gravitating systems ?
Abstract
It is natural important question for us to ask what the nonextensive parameter stands for when Tsallis statistics is applied to the self-gravitating systems. In this paper, some properties of the nonextensive parameter and Tsallis equilibrium distribution for the self-gravitating system are discussed in the framework of nonextensive kinetic theory. On the basis of the solid mathematical foundation, the nonextensive parameter can be expressed by a formula with temperature gradient and the gravitational potential and can be presented the physical meaning with regard to the non-isothermal (nonequilibrium stationary state) nature of the systems with long-range interactions. We come to the conclusion that Tsallis equilibrium distribution is corresponding to the physical state of self-gravitating system at the hydrostatic equilibrium.
Keywords
Cite
@article{arxiv.nlin/0404039,
title = {What does the nonextensive parameter q stand for in self-gravitating systems ?},
author = {Jiulin Du},
journal= {arXiv preprint arXiv:nlin/0404039},
year = {2015}
}
Comments
11 pages, 25 references. The Twelfth United Nations/European Space Agency workshop on basic space science. May 24-28 2004, Beijing, China