Dispersion Relation And Jeans Gravitational Instability In ?-deformed Kaniadakis Distributed Plasmas

When the plasma collision frequency of charged particles is very small or the particle velocity is far greater than its thermal velocity, particle distribution will no longer satisfy the classical Maxwell distribution. At present, the non-Maxwell distributed plasma has become a hot topic in plasma physics. As the ?-deformed Kaniadakis distributed can be regarded as a more generalized result, it is basically important to study the collective modes in ? -deformed Kaniadakis distributed plasma system.First of all, the dispersions and Landau damping of the Langmuir waves and ion sound waves in an unmagnetized, collisionless, isotropic plasma system are investigated in the context of ?-deformed Kaniadakis distributed based on plasma kinetic theory regimes. The influence of the parameters of the ?-deformed Kaniadakis distributed function on the dispersions and Landau damping of the Langmuir waves and ion sound waves is analyzed. The results show that the variation tendency of the dispersions and Landau damping of the Langmuir waves and ion sound waves rest with the parameter ?. With the value of ? enhanced, the growth rate of the Langmuir waves and ion sound waves is more significant, Landau damping of the Langmuir wave decreases with the increase of ?, but Landau damping of ion acoustic waves with ? increases. As expected, the results of Maxwellian case are covered perfectly when ?=0.Secondly, the Jeans instabilities in an unmagnetized, collisionless, isotropic self-gravitating matter system are investigated in the context of ?-deformed Kaniadakis distribution based on plasma kinetic theory. The result shows that both the growth rates and critical wave numbers of Jeans instability are lower in the ?-deformed Kaniadakis distributed self-gravitating matter systems then the Maxwellian case. The standard Jeans instability for a Maxwellian case is recovered under the limitation ?=0.