<RESEARCH REPORT>Elctron Current Effect on Stability of Plasma Channel

概要

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We investigate the density profile of each species when the beam propagates in a plasma channel. Assuming the cylindrical symmetry and uniformity in the z-direction for the ion beam and the plasma channel, the profile depends only on the radial distance from the axis of symmetry. We treat the channel ion is at rest, and there are two flow in the channel, electron return current and beam flow. They build the magnetic field. Only this field contributes to the density profile because of charge neutrality. We consider the two cases, one is that the pressure balances with Lorentz force (in equilibrium) and the other is that the profile is constant (before equilibrium). So the considerable combination of the electron and the beam profile is as follows. (1) Both the ion beam and the electron current are in equilibrium. (2) The ion beam is in equilibrium and the electron density profile is constant. (3) The beam density profile is constant and the electron is in equilibrium. (4) Both profiles are constant. Case (1) is mentioned by Bennett^<1)>, and case (4) by Alfven^<2)>. Then we investigate case (2) and (3) in Sec. §2. In Sec. §3,we discuss the validity of the assumption of thermal equilibrium.
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