Consider a weakly ionized plasma immersed in a uniform magnetostatic field B₀ oriented along the z axis of a Cartesian coordinate system.

(a) Show that the diffusion equation for the electrons (with Du_e/Dt = 0) in the presence of the space charge electric field is given by

with D_e⊥, D_eH, and D_e∥ given by (9.5), (9.6), and (9.7), respectively, and  where

(b) Deduce the corresponding equation for the ions in the presence of the space charge electric field E. Combine the equations for the electrons and for the ions in order to eliminate the space charge electric field. Then, assuming that the electron and ion fluxes are equal, Г_e = Г_i, and that their number densities are also equal, n_e = n_i, determine the ambipolar diffusion coefficient. Verify that it is not affected by the presence of the magnetostatics field.

Equations.

Transcribed Image Text:

where TeV (Dene) + ne Me. E = De = Del DeH -DeH Del 0 0 0 0 Dell