Abstract—

Within the framework of Tsallis nonextensive statistics, the criteria for the Jeans gravitational instability are derived for a self-gravitating protoplanetary disk, whose substance consists of a mixture of a conducting ideal q-gas and modified radiation of a photon gas. The instability criteria are derived from the corresponding dispersion relations written for both neutral disk matter and magnetized plasma with modified blackbody radiation. The thermodynamics of a photon gas are constructed based on the nonextensive Tsallis quantum entropy, which depends on the deformation parameter. It is shown that blackbody q-radiation can stabilize the state of a nonextensive medium for a purely gaseous disk, and for an electrically conducting disk, the Jeans instability criterion is modified by the magnetic field and radiation pressure only in the transverse propagation mode of the disturbance wave.

中文翻译：

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考虑到非张性Tsallis动力学中的磁场和辐射，原行星圆盘的牛仔裤不稳定性

摘要-

在Tsallis非广义统计的框架内，Jeans引力不稳定性的标准是针对自引力原行星盘导出的，其物质由导电的理想q气体和改良的光子气体辐射组成。不稳定性标准是从为中性圆盘物质和具有改良黑体辐射的磁化等离子体编写的相应色散关系得出的。光子气体的热力学是基于非扩展的Tsallis量子熵构造的，该熵取决于变形参数。证明黑体q辐射可以稳定纯气体盘的非膨胀介质的状态，而对于导电盘，仅在扰动波的横向传播模式下，磁场和辐射压力会修改让斯不稳定性判据。