Diffusion And Heat Conductivityin The Weakly Ionized Plasmawith Power-law Q-distributions

The transport process of charged particles is an important part of the study of plasma physics.Under the traditional statistical theory,the Maxwell-Boltzmann distribution function is usually used to describe the particle velocity distribution in this process.However,observation results show that there is often a kind of superheated particles in astrophysics and complex plasma in space,and their velocity distribution law meets the non-Maxwell distribution or power law distribution,so the traditional Boltzmann-Gibbs statistics is no longer applicable.The transport process in complex plasma with power law distribution can be studied by using the theory of nonextensive statistics.In this thesis,the diffusion process and thermal conductivity process in weakly ionized plasma with power-law q distribution are studied by using the theory of nonextensive statistics.Firstly,the Boltzmann transport equation in the framework of nonextensive statistics is introduced.Since the weak ionization case is studied,the generalized Krook model is adopted for the collision term.In this way,the velocity distribution function of weakly ionized plasma based on q distribution is obtained using the first order approximation of Chapman-Enskog expansion.On this basis,the diffusion and heat conduction properties of charged particles in weakly ionized plasma without magnetic field are studied.We derive expressions of the diffusion,thermal diffusion,thermal conductivity and thermoelectric coefficients of electrons and ions respectively in the plasma.Numerical analysis shows that in weakly ionized plasma with power law q distribution,these transport coefficients are obviously dependent on q parameters,and thus have different properties from the transport process of plasma under the Maxwell distribution.