# Plasma and Fusion Research

## Volume 11, 1401116 (2016)

# Regular Articles

- Joint Institute for High Temperatures of the Russian Academy of Sciences, Moscow, Russia

### Abstract

Reflex discharge has a large number of applications. However, there is no analytical formula allowing for the specified geometry to calculate the current or spatial characteristics of the discharge a priori. To do this, we create two-component model of the discharge in a diffusion-drift approximation in a magnetic field. The conditions of breakdown have been investigated in the framework of the Townsend mechanism. Current-voltage (I-V) characteristics, temporal variation of the discharge current and average ion density, and spatial distributions of ions and electrons have been calculated. I-V discharge characteristics in the absence of magnetic field have been measured. Experiments have been carried out in the discharge with a cylindrical anode with a length of 180 cm, diameter of 90 cm and a flat circular cathode with a diameter of 4 cm. The dependence of discharge current on the applied magnetic field has been determined. The dependence of steady-state discharge current on the order of electric and magnetic field switching has been studied. Comparison of theory with experiment provides qualitative agreement and it confirms the adequacy of the created model.

### Keywords

gas discharge, reflex discharge, penning discharge, diffusion-drift approximation, magnetic field

### Full Text

### References

- [1] G.E. Ozur, D.I. Proskurovsky and K.V. Karlik, Instrum. Exp. Tech. 48, 753 (2005).
- [2] A.I. Morozov, Introduction to Plasma Dynamics (CRC Press, Boca Raton, 2012).
- [3] V.P. Smirnov, A.A. Samokhin, N.A. Vorona et al., Plasma Phys. Rep. 39, 456 (2013).
- [4] Y.V. Kovtun, E.I. Skibenko, A.I. Skibenko et al., Tech. Phys. 56, 5, 623 (2011).
- [5] E.B. Hooper Jr., Advances in Electronics and Electron Physics (L. Marton and M. Claire, Academic Press, New York, 1970) pp.295-343.
- [6] Y.P. Raizer, V.I. Kisin and J.E. Allen, Gas Discharge Physics (Springer Berlin Heidelberg, 2011).
- [7] A.N. Tkachev and S.I. Yakovlenko, Tech. Phys. Lett. 29, 683 (2003).
- [8] A.Y. Sonin, Tech. Phys. Lett. 32, 208 (2006).
- [9] D. Marić, M. Savić, J. Sivoš et al., Eur. Phys. J. D 68, 155 (2014).
- [10] S.-Z. Li and H.S. Uhm, Phys. Plasmas 11, 3443 (2004).
- [11] S. Dujko, R. White, Z.L. Petrović et al., Phys. Rev. E 81, 046403 (2010).
- [12] H. Blevin and S. Haydon, Aust. J. Phys. 11, 18 (1958).
- [13] A. Heylen and K. Bunting, Int. J. Electronics Theoretical and Experimental 27, 1 (1969).
- [14] A. Heylen, IEE Proceedings A (Physical Science, Measurement and Instrumentation, Management and Education, Reviews) 127, 221 (1980).
- [15] S. Sen and A. Ghosh, Proceedings of the Physical Society 80, 909 (1962).
- [16] A. Heylen, Int. J. Electronics Theoretical and Experimental 41, 209 (1976).
- [17] L. Dobretsov and M.V. Gomoyunova, Emission electronics (Nauka, Moscow, 1966). [in Russian]
- [18] M. Mitchner and C.H. Kruger, Partially ionized gases (Wiley, New York, 1973).
- [19] W. Schuurman, Physica 36, 136 (1967).