Jeans criterion and nonextensive velocity distribution function in kinetic theory

Details Jeans criterion and nonextensive velocity distribution function in kinetic theory Jeans criterion and nonextensive velocity distribution function in kinetic theory

2004-04-23

arxiv.org/abs/astro-ph/0404464v1

Phys.Lett.A320:347-351,2004

Astronomy and Astrophysics

Astrophysics

10 pages, 27 references

Scientific paper

10.1016/j.physleta.2003.11.047

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.

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