Abstract
The gravitational instability of a thermally conducting self-gravitating system permeated by a uniform and oblique magnetic field has been analyzed in the framework of Tsallis’ nonextensive theory for possible mod-ifications in the Jeans’ instability criterion. It is concluded that the instability criterion is indeed modified into one that depends explicitly on the nonextensive parameter. The influence of thermal conductivity on the system stability is also examined.
Highlights
In any subject of astrophysics and cosmology, manybody gravitating systems play an essential role
The Jeans’ gravitational instability of a thermally conducting self-gravitating fluid permeated by a uniform and oblique magnetic field has been analyzed in the framework of nonextensive theory
We have studied the stability of a large-scale self- gravitating system in the framework of Tsallis’ Nonextensive Statistical Mechanics (NSM)
Summary
In any subject of astrophysics and cosmology, manybody gravitating systems play an essential role. In view of the role played by thermally conducting fluids in various astrophysical and geophysical phenomena as well as industrial and engineering processes, the stability of such fluids has been the center of numerous analyses (Kumar [9],Chhajlani and Vaghela [10], Mehta and Bhatia [11]). In all these investigations, the Boltzmann-Gibbs statistical mechanics have been employed to study the thermodynamics of the system. The influence of thermal conductivity on the growth rate of the system is examined
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