Abstract—

In the framework of Tsallis statistics, we study the effect of medium nonextensivity on the Jeans gravitational instability criterion for a self-gravitating protoplanetary cloud, the substance of which consists of a mixture of perfect gas and blackbody radiation. Generalized Jeans instability criteria have been found from the corresponding dispersion relations obtained both for a uniform cloud with radiation and for a rotating protoplanetary cloud. An integral generalized Chandrasekhar stability criterion for a gravitating spherical cloud has also been obtained. The presented results are analyzed for various values of deformation parameters \(q,\) dimensionality \(D\) of the velocity space and coefficient \(\beta \), characterizing the fraction of radiation in the total pressure of the system. It is shown that radiation stabilizes the substance of nonextensive protoplanetary clouds, and for rotating clouds, the Jeans instability criterion is modified by the Coriolis force only in the transverse modes of perturbation wave propagation.

中文翻译：

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非扩展Tsallis动力学中带有辐射的原行星气云的牛仔裤不稳定性

摘要—

在Tsallis统计的框架中，我们研究了中等非扩张性对自引力原行星云的Jeans引力不稳定性判据的影响，该物质由完美气体和黑体辐射的混合物组成。从具有辐射的均匀云和旋转的原行星云获得的相应色散关系中，可以找到广义的Jeans不稳定性准则。还获得了引力球面云的积分广义Chandrasekhar稳定性判据。对于速度空间的变形参数\（q，\）维数\（D \）和系数\（\ beta \）的各种值，分析了给出的结果，表征辐射在系统总压力中所占的比例。结果表明，辐射稳定了未扩展的原行星云的物质，对于旋转云，仅在摄动波传播的横向模式中，通过科里奥利力修改了吉恩斯不稳定性判据。