We have studied in this paper, investigated the influence of an electron beam on a
dense warm inhomogeneous plasma, and the instability resulting in this system, through
studying of the influence of plasma density variation on the beam-plasma insta
bility
growth. Where we considered the plasma density is in the same order of Fermi gas, and we
considered the model of homogeneous cold beam-inhomogeneous warm plasma system,
with small phase velocity in compared with the case of existence of an external magnetic
field. We derived the differential equations that describe this system in the case of collision
plasma because of its high density, and we derived the differential equation that expresses
the energy absorbed in the wholesale and we solved this equation then we drew the
suitable graphics using Mathcad program, discussed, and analyzed the results that we
reached. Results indicated an amplification of outcome waves in wholesale because of the
absorbed energy and instability increasing in the system.
We investigate the influence of the variable plasma density on the
spatial growth of the beam-plasma instability, considering the
model of homogeneous cold beam-inhomogeneous warm plasma
system under the condition of the smallness of phase velocit
y of
waves compared to the beam velocity. We determine a direction
of the beam with unmagnatized plasma. Considering a one –
dimensional electrostatic oscillation when the directions of beam
propagation, plasma density gradient and wave electric field
coincide with X-axis. To formulate mathematical equation of beam
and plasma then we make studying equation linearized, and then
study the continuity equation and boundary conditions.
Formulating electric field density then study a case in which a
plasma is collisional because of its high density and the
temperature .Finally we drive absorbent energy and find solutions
of these equations then draw it.
