Abstract
This article presents a formulation for the dielectric permittivity tensor in a long column of warm drift homogeneous plasma taking into account the drift velocity of the particles, the rotating magnetic field and the effects of the electron-ion collisions. In this formulation, the study of the waves propagating along the cylindrical axis is employed, in the case for which the ions and electrons are described by the different drift velocities. Using the fundamental electromagnetic equations and the fluid equations in a cylindrical coordinate system, the time variable dielectric permittivity tensor is obtained and the coupling equations of the fields will be derived. It is shown that in the absence of the thermal and the collisional effects the limiting special cases will be satisfied.
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