Jeans criterion and nonextensive velocity distribution function in kinetic theory
Astrophysics
2015-08-10 v1 Statistical Mechanics
Abstract
The effect of nonextensivity of self-gravitating systems on the Jeans criterion for gravitational instability is studied in the framework of Tsallis statistics. The nonextensivity is introduced in the Jeans problem by a generalized q-nonextensive velocity distribution function through the equation of state of ideal gas in nonextensive kinetic theory. A new Jeans criterion is deduced with a factor that, however, differs from that one in Ref.[21] and new results of gravitational instability are analyzed for the nonextensive parameter q. An understanding of physical meaning of q and a possible seismic observation to find astronomical evidence for a value of q different from unity are also discussed.
Keywords
Cite
@article{arxiv.astro-ph/0404464,
title = {Jeans criterion and nonextensive velocity distribution function in kinetic theory},
author = {Jiulin Du},
journal= {arXiv preprint arXiv:astro-ph/0404464},
year = {2015}
}
Comments
10 pages, 27 references