Based on the framework of nonextensive statistics and its related kinetic theory, the Jeans instability in a self-gravitational system composed of dark and bright matters is restudied. The results show that the nonextensivity, the presence of dark matter, has significant effects on the dynamics of Jeans modes. With the increase in the q parameter and the ratio of dispersion velocities, as well as the decreased ratio of densities of dark to bright matters, both critical wave-numbers and growth rates of the instabilities are increased. In addition, as expected, when q → 1, the corresponding results for Maxwellian velocity distribution are recovered. The present results may shed new light on the comprehension of the intrinsic physical mechanism responsible for the collapse of interstellar gas clouds.

中文翻译：

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暗物质对q不扩张速度分布下的牛仔裤不稳定性的影响

基于非广义统计的框架及其相关的动力学理论，对由暗物质和亮物质组成的自重系统中的吉恩斯不稳定性进行了重新研究。结果表明，非延展性，暗物质的存在对Jeans模态的动力学有显着影响。随着q参数的增加和分散速度的比率以及暗物质与亮物质的密度比率的降低，临界波数和不稳定性的增长率均增加。另外，如预期的那样，当q→1，恢复了麦克斯韦速度分布的相应结果。目前的结果可能为理解星际气云崩溃的内在物理机制提供了新的思路。