Greatly enhanced stopping powers result from the interaction of sufficiently dense charged particle beams with matter. Stopping power is proportional to a well-defined number of beam particles that interact coherently. The effect is not due to turbulence, but relies on a phase mixing of the polarization wakes produced by the beam particles. The beam-density effect can drive a self-dissipative instability.
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McCorkle et al. (1977) studied this question.
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