We propose a simplified model of the positive column of a strongly anisothermal plasma, based on the assumption of ion drift in strong fields, while the inertia of the ions is formally taken into account by limiting the velocity of ambipolar drift at the boundary of the plasma to the ionic speed of sound. This permits finding simple relations for the ionization frequency and boundary concentration of the plasma as functions of the similarity parameter of the discharge. It is shown that the region of applicability of the simplified model on the side of high gas pressures borders the region of applicability of Schottky theory.
Department of Electronics
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