[SLAC] [SLAC Pubs and Reports]
SLAC-PUB-7818
Resistive Hose Instability for Arbitrary Skin Depth
Abstract
Resistive hose growth for moderate or large skin-depth differs from
that derived from a conductivity model. Asymptotic growth is
calculated for the Bennett equilibrium, incorporating the inductive
component in the plasma return current, with phase-mixing accounted
for via the "distributed-mass" model. Analytic scalings are checked
with numerical solutions of the linearized model. For a ratio of
skin-depth to beam radius less than 1/10 the conductivity model
appears quite adequate. When this ratio exceeds 1/4 inductive
corrections appear.
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