Dependence of the transition from Townsend to glow discharge on secondary emission

Details Dependence of the transition from Townsend to glow discharge on secondary emission Dependence of the transition from Townsend to glow discharge on secondary emission

2004-03-02

arxiv.org/abs/physics/0403025v1

Phys.Rev.E 70, 017401 (2004)

Physics

Plasma Physics

3 pages, 2 figures, submited as a brief report to Phys.Rev.E

Scientific paper

10.1103/PhysRevE.70.017401

In a recent paper Sijacic and Ebert have systematically studied the transition from Townsend to glow discharge, refering to older work from von Engel (1934) up to Raizer (1991), and they stated a strong dependendence on secondary emission $\gamma$ from the cathode. We here show that the earlier results of von Engel and Raizer on the small current expansion about the Townsend limit actually are the limit of small $\gamma$ of the new expression; and that for larger $\gamma$ the old and the new results vary by no more than a factor of 2. We discuss the $\gamma$-dependence of the transition which is rather strong for short gaps.

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