Heat Conductivity And Dufour Effect In The Weakly Ionized,Magnetized And Kappa-distributed Plasma

Plasma is a multi-particle system,which exists widely in the universe.When the plasma system is in a non-equilibrium state,that is,when there are density gradients,temperature gradients and velocity gradients in the system,there will be corresponding particle flow,energy flow and momentum flow,which make the plasma undergo an irreversible process to reach equilibrium.This process is called the transportation process.The study of the transport properties of plasma is one of the key contents of plasma physics research.In the past,people studied plasma transport properties under the framework of classical Boltzmann-Gibbs statistical mechanics,and believed that the distribution function of particles in the plasma was Maxwell distribution.In fact,matter in cosmic space is always moving,which means that the plasma is generally in a non-equilibrium state,which exceeds the system range that Maxwell distribution can describe.And through research,it is found that there is a superheated particle in the plasma,and their velocity distribution function is a power law distribution function.The kappa distribution function in the power law distribution function is most suitable for studying space plasma,and its theoretical basis is non-extensive statistical mechanics.Since Tsallis proposed non-extensive entropy and established non-extensive statistical mechanics,it has been widely used in various non–equilibrium complex systems with long-range interaction.This paper mainly uses non-extensive statistics to study the thermal conductivity and Dufour effect of weakly ionized magnetized plasma with kappa distribution.In Chapter 2,we introduced the basic theoretical knowledge of non-extensive statistical mechanics.We introduced the application research of non-extensive statistical mechanics in plasma in Chapter 3.In Chapter 4,we mainly study the thermal conductivity and Dufour effect of weakly ionized plasma in a steady magnetic field.It is assumed that the particles in the plasma follow the power law kappa distribution,the neutral particles are stationary and uniformly distributed,and the electrons and ions move in the background of the neutral particles.We use the Boltzmann transport equation with the magnetic field and the Krook collision model to study the transport process of weakly ionized plasma.At the same time,the distribution function of the particles in the plasma is expanded to the first-order term according to Chapman-Enskok,and then it is brought into the transport equation and the microscopic expression of the heat flow vector to obtain the expression of the heat flow vector including ? parameter.Finally,compared with the macroscopic law,the thermal conductivity and Dufour coefficient of the weakly ionized plasma in the steady magnetic field are obtained.The relationship between these coefficients and the parameter ? and the magnetic field is drawn,and the variation of these coefficients with the magnetic field and the parameter ? is discussed.When taking the limit ???,these coefficients will return to the classical form of the plasma following the Maxwell distribution.