A theoretical model for the behaviour of the positive column of a low-pressure arc discharge in a magnetic field has been developed. The model is applicable to `free-fall' conditions, in which ions are assumed to fall freely from their point of generation under the influence of a radial electrostatic potential gradient. For the case of a cylindrical plasma column, predictions are made for the variation with magnetic field of radial electron number-density profile, radial potential profile, wall number density, electron temperature and radial light emission profile. The constriction of a plasma column in a magnetic field is considered, and predictions from the above model are compared with measured radial light emission profiles from a mercury discharge, and also with the experimental results of previous authors.
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Forrest et al. (1966) studied this question.
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