The dispersion laws for the waves propagating in a magnetoactive plasma are obtained, using the Boltzmann equation with a collision term representative of isotropic, recoilless, elstic, binary scattering of the electrons. In the work, the two cases (I) M; k||B
o and (II); k1B
o are studied, where k and B
o are the wave vector and the uniform external magnetic field.
Assuming a δ-function for the velocity distribution function the dispersion laws for a long wavelength limit are clasified as follows :
A……ω (ω+iv)
2=ω
p2 (ω+iv-iV/3·dv/dV) B……ω (ω±ω
c+iv)
2=ω
p2 (ω±ω
c+iv-iV/3·dv/dV) where ω
c, ω
p and v are the cyclotron, the plasma, the collision frequency respectively. After some calculations under the assumption v (V) =const×V
h, it is found that the initial disturbance grows for h>3 and Im (ω) attains its maximum value at Re (ω) =ω
c.
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