Analytic approach to glow discharge theory: Result and analysis

Abstract

Using the analytic expressions given in the preceding article, S. T. Pai [J. Appl. Phys. 71, 5820 (1992)] the concerned physical quantities n, N, V, Ez, Γ−, Γ+, and Jz and many others for dc glow discharges were calculated and systematically analyzed under various conditions. Several physically significant points have been brought forward via the analysis. Comparisons between the present results and the corresponding ones obtained by previous investigators showed similarities between them in many aspects. Such similarities signify the wide range applicability of the present model. The builtin feature of mode indexing in the model has been quantitatively demonstrated. Results yielded from such a demonstration are consistent with the corresponding physical situations.

Charged particle distributions and heat transfer in a discharge between geometrically dissimilar electrodes: From breakdown to steady state

“…The wire diameter is taken to be 25. 4 m. The initial potential distributions are given in Fig. 3, where the wire surface is an equipotential line of 0 V and the cathode surface is an equipotential line of Ϫ3000 V. The equipotential lines are concentrated around the wire tip, so the electric field is much stronger near the wire than close to the cathode.…”

“…For current flow to the wire, Ramakrishna 14 calculated the nondimensional current for 2500 V between the wire and the wand to be around 10 4 , with the normalization current ͑p. 80 in his thesis͒ at 2.8ϫ10 Ϫ9 A, which results in a current less than 10 Ϫ2 mA.…”

“…A summary of numerical simulations of electric breakdown was given by Davis. 1 Numerical simulations of the glow discharge between parallel plate electrodes were reported by Novak and Bartnikas, 2 Pai, 3 Pai and Guo, 4 Meyyappan and Kreskovsky, 5 and Graves and Jensen. 6 In some of the works mentioned above, only the conservation equations for charged particles and Poisson's equation are solved.…”

DC Glow Discharge in Axial Magnetic Field at Low Pressures

“…Moreover, relationship between the various physical quantities is not readily apparent. In order to avoid these shortcomings, some of the early researchers sought analytic expression of the relevant parameters from the relevant classic discharge equation with applied analytic methods and actual boundary conditions and the theoretical model of glow discharge plasma under no magnetic field is established [15][16][17][18][19].…”