Jeans' criterion and nonextensive velocity distribution function in kinetic theory
Jeans' criterion and nonextensive velocity distribution function in kinetic theory
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DOI：
10.1016/j.physleta.2003.11.047
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发表时间：
2004-01-12
影响因子：
2.6
通讯作者：
Du, JL
中科院分区：
文献类型：
--
作者：
Du, JL
在Tsallis统计的框架下，研究了自引力系统的非广泛性对引力不稳定的Jeans判据的影响。通过非扩展运动论中理想气体的状态方程，将广义的q-非扩展速度分布函数引入到Jeans问题中。一个新的金斯标准被推断为一个因子root2/(5- 3q)，然而，它与[Astron]中的标准不同。本文分析了非扩展参数q的引力不稳定性的新结果。还讨论了对q的物理意义的理解和为不同于单位的q值找到天文证据的可能的地震观测。(C) 2003 Elsevier B.V.版权所有
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 root2/(5- 3q) that, however, differs from that one in [Astron. Astrophys. 396 (2002) 309] 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. (C) 2003 Elsevier B.V. All rights reserved.