The electrodynamics of beam/return current systems. The effect on the accelerator.

Astronomy and Astrophysics – Astrophysics

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Acceleration Of Particles, Magnetic Fields, Mhd, Plasmas, Sun: Flares

Scientific paper

The initial value problem of the injection of an electron beam into a plasma cylinder is investigated. Emphasis is put on the effect of the return current on the acceleration region. The full set of Maxwell's equations is solved in combination with Ohm's law. By splitting all vector fields into their solenoidal and irrotational components, the inductive and electrostatic response of the plasma electrons to the beam injection can be described separately. It is found that the effect of the return current on the beam acceleration region, located somewhere in the plasma cylinder, is negligible on time scales shorter than the time scale for magnetic diffusion. In realistic circumstances the duration of the acceleration process is much shorter than this time scale so that the accelerator does not experience any influence of the return current. Several cylinder radii from the accelerator site our solutions approach those obtained in earlier work where a self-similar approach was used. The energy partitioning in the beam/return current system is discussed.

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