A Constant Ratio Approximation Theory of the Positive Column of a Glow Discharge for the Schottky Model

抄録

A non-quasi-neutral theory of the positive column of a glow discharge has been presented, on the basis of the analysis of the transition from free to ambipolar diffusion of electrons. In order to facilitate the understanding, the usual ambipolar diffusion theory owing to Schottky has been modified. According to the present theory, the electron temperature or the axial electric field has varied with not only p₀R (p₀: the pressure, R: the tube radius) but the electron density or the discharge current, which has never been obtained by the original quasi-neutral theory. Additionally, the condition under which the quasi-neutrality becomes valid has been given in terms of various parameters in weakly ionized gases.