Conclusion in the framework of nonextensive kinetics of the Jeans instability criterion for protoplanetary cloud taking into account radiation and magnetic field.
Abstract:
In the framework of Tsallis statistics, we study the effect nonintensity of medium on the Jeans gravitational instability criterion for a self-gravitating protoplanetary cloud, the substance of which consists of a mixture of ideal $q$-gas and blackbody radiation. The generalized criteria for Jeans's gravitational instability are found from the corresponding dispersion relations obtained for both neutral matter and plasma. A generalized integral Chandrasekhar stability criterion for a gravitating spherical cloud is also obtained. The presented results are analyzed for various values of the deformation parameters $q$, the fractional dimension $D$ of the velocity space and the coefficient $\beta$, characterizing the fraction of radiation in the total pressure of the system. It is shown that radiation can stabilize the considered nonextensive pure gas systems, and for a plasma the Jeans instability criterion is modified by the magnetic field and radiation pressure only in the transverse mode of propagation of the perturbation wave.
Keywords:Jeans and Chandrosikhar criteria, self-gravitating protoplanet cloud, blackbody radiation, non-extensive kinetics of Tsallis.
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