Effect of magnetic field on transports of charged particles in the weakly ionized plasma with power-law q-distributions in nonextensive statistics

Abstract

By using the generalized Boltzmann equation of transport in nonextensive statistics, we study transport properties of the diffusion flux and the heat flux of charged particles in the weakly ionized plasma with the power-law q-distributions under the magnetic field. We derive the tensor expressions of diffusion coefficient, thermal diffusion coefficient, mobility and thermal conductivity of electrons and ions in the q-distributed plasma under magnetic field. We show that the tensors of the diffusion coefficient, the thermal diffusion coefficient and the thermal conductivity are strongly depend on the q-parameters in nonextensive statistics, and so they are generally not the same as those in the magnetized plasma with a Maxwell distribution.

The collision frequency of electron-neutral-particle in weakly ionized plasmas with non-Maxwellian velocity distributions

“…Based on equation (25), figure 3 numerically shows the effects of spectral indices r and q on the average collision frequency in equation (20). In figure 3(a) we took q as three fixed values of 1.5, 2.2 and 5.4, respectively, and then changed the parameter r. It can be seen that as the value of r increases, n r q en, , ¯( ) increases for the low values of r (viz, r<5), and for large values of r with different q values, all n r q en, , ¯( ) will approach a same constant.…”

“…The weakly ionized plasma is the plasma with an ionization degree of less than 1%, so the plasma temperature is about (0.5-3.0) × 10 4 K [13,[16][17][18][19][20][21][22][23]. In the weakly ionized plasma, the number of charged particles (electrons, ions) is relatively few.…”

“…The research on the average collision frequency of plasma systems has always been one of the hot issues in plasma physics. The collision phenomenon is one of the most basic characteristics of gas kinetics in plasmas, and transport phenomenon in plasmas is usually related to collision effects [13,[15][16][17][18][19][20][21][22][23], such as the diffusion, the heat conduction and migration and the particle drift in a magnetic field, etc. According to the degree of ionization in a plasma system, it can be divided into weakly ionized plasma, partially ionized plasma and fully ionized plasma.…”

“…In a fully ionized plasma system, usually we think that electrons and ions are completely separated out and so the collisions of the plasma system are mainly taken place between the charged particles [15]. In a weakly ionized plasma system [13,[16][17][18][19][20][21][22][23], there are neutral particles, ions and electrons, so there are electron-neutral particle collisions, ion-neutral particle collisions, and extremely few charged particle collisions such as electron-ion collisions and electron-electron collisions and ionion collisions. Since the collisions between electrons and neutral particles are the main kinetic mechanism for the weakly ionized plasma, it is of great significance to study the average collision frequency of electron-neutral particle collisions [7].…”