Question

A uniform O+ plasma is placed in the two orthogonal E and B fields having a sharp boundary with a vacuum. The gravity g points downward. Assume that a sinusoidal density fluctuation occurs at the boundary. Consider two cases separately: (1) the plasma is above the vacuum, and (2) the vacuum is above the plasma. Use E x B drift to discuss if the sinusoidal fluctuation will be enlarged to cause an unstable condition in the plasma OR the sinusoidal fluctuation will be suppressed to yield a stable plasma condition.

Answer 1

Partial action CS-2) Cst2)Cs) cs D h+s +2Cs4A2)Cs)B E-2) Cst2) sto) s-2) Cst2) Cs s2) Cst2) s 4) Cs-2)Cs+2)cst 0)+s-2) Cs*+) B + (st2)CsA SAS8 +scsA- 2s'6+sp sA +4 SB -usc +A -86 - 4D CAt6tcsC 24 -26+D) SGA46-4c)+ 8A -SB-D AtB+C = 0 Solvin UA t4B-czo 8A SB-D A = / 3 2 S-2 S+ 2 htS gin (2t) Sin h C2t) +