The nonextensive parameter and Tsallis distribution for self-gravitating systemsDu Jiulin
Department of Physics, School of Science, Tianjin University Tianjin 300072, PRC
(Received 6 April 2004; accepted in final form 9 July 2004)
The properties of the nonextensive parameter q and the Tsallis distribution for self-gravitating systems are studied. A mathematical expression of q is deduced based on the generalized Boltzmann equation, the q- H theorem and the generalized Maxwellian q-velocity distribution in the framework of Tsallis statistics. We obtain a clear understanding of the physics of with regard to the temperature gradient and the gravitational potential of the self-gravitating systems. It is suggested that the Tsallis statistics could be statistics suitable for describing the nonequilibrium systems with inhomogeneous temperature and long-range interactions.
05.20.-y - Classical statistical mechanics.
95.30.Lz - Hydrodynamics.
© EDP Sciences 2004