Abstract
Spatial profiles of the plasma density and ion drift velocity in an infinite rectangular dc discharge positive column at intermediate pressures are obtained based on the quasi-neutral transition theory for two-dimensional geometry. Assuming that the ionization by electron impacts occurs at a constant ratio in the two directions, relevant differential equations for plasma parameters are solved by means of variable separation and the plasma profiles are determined as explicit functions of actual distances in the column. The results derived are an extension of the high-pressure Schottky theory to the low-pressure region.
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