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Transverse Two-Stream Instability of a Beam with a Bennett Profile
A relativistic electron beam magnetically self-focused in a plasma is
subject to an electrostatic hose instability. A linear theory of hose
growth is formulated taking into account nonlinear focusing of the
beam and collisionless damping due to a plasma gradient. Theory is
compared to particle-in-cell simulations of three-dimensional
transport of a beam with a Bennett profile, through a broad uniform
plasma, as well as a plasma channel matched to the beam.
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