Experimental measurements and numerical simulation show that relativistic electron beams propagating in a drift tube with a net current less than the Alfv\'en critical current assume an axially dependent equilibrium. The equilibrium of a 40-kA, 3-MeV electron beam propagating in air at 22.5 Torr has been studied analytically, numerically, and experimentally. Reasonable agreement among the results of the three approaches has been found.
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Poukey et al. (1971) studied this question.
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