The Diffusion Of Charged Particles In The Weakly Ionized Plasma With Power-Law Kappa-Distributions

Plasma system is a kind of ionized gas which includes electrons,ions and neutral particles.The total charge of electrons and ions is basically equal,so the plasma system maintains electrical neutrality.In recent years it has become a focus of research in physics community.The research on plasma physics over the years mainly includes plasma wave,the instability of plasma,the radiation of plasma and the transport process of plasma.And transport process is very complex but common in nature and daily life.The particles will move and react with others because of the nonuniformity of space which lead to the changing of characteristic quantities of particles.So it is greatly significant to discuss the transport process of plasma system.Various observations show that there is often a kind of superthermal particle in the space plasma which obeys the non-Maxwell velocity distribution function,so the traditional Boltzmann Gibbs statistics will no longer apply for it.Besides the generalized power-law Kappa distribution was found in the observations of Magnetospheric plasma sheath in 1968 by Vasyliunas which can well imitate this unusual phenomenon in the plasma physics,and its theoretical basis is non-extensive statistical mechanics.In this paper,the diffusion process of plasma system with power-law Kappa distribution is studied under non-extensive statistical mechanics.In chapter 2,we will introduce the theoretical background of non-extensive statistics mechanics.In chapter 4,we make use of the power-law kappa distribution function to study the diffusion process of plasma system.Besides we will combine the macroscopic law and the Boltzmann equation in the plasma transport process.Finally,we obtain the diffusion coefficient and the mobility of weakly ionized plasma without magnetic field.Besides,the key to solving the Boltzmann equation is selecting the proper collision term,and for the weakly ionized plasma,the Krook collision model can approximately describe the change of distribution function caused by the collision of particles in the plasma system.In order to simplify the problem we need to expand the power-law kappa distribution function to the first order and take it into the Boltzmann equation.Finally by comparing the solution of this equation with the macroscopic law,we will obtain the diffusion coefficient and the mobility with parameter ?,and aftertaking the limit ???,our result will return to the classical model.This has also successfully confirmed the correctness of non-extensive statistics.