Abstract
The time-dependent behavior of the resistive wall instability in a uniform charged beam is investigated by means of computer simulation. Results are compared with linear analytical results for a range of cases in which two parameters are varied: the resistive wall term and the initial thermal spread of the beam. In general, good agreement is found between simulation and theoretical results. The main conclusion is that the growth rate of any mode increases with the resistive term and decreases as a function of the thermal spread. There is always a maximum marginally unstable wavenumber k for any nonzero thermal spread. The linear growth rate is roughly the same for the thermal spread and for the electric field amplitude. An overshoot phenomenon is present, in the sense that the thermal spread continues to grow after the electric field has reached saturation.
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