A Statistical Model for the Dynamics of Single Cathode Spot in Vacuum Cylindrical Cathode

Dynamics of cathode spot has become a major part
of vacuum arc discharge with its high academic interest and
wide application potential. In this article, using a three-dimensional
statistical model, we simulate the distribution of the ignition
probability of a new cathode spot occurring in different magnetic
pressure on old cathode spot surface and at different arcing time.
This model for the ignition probability of a new cathode spot was
proposed in two typical situations, one by the pure isotropic random
walk in the absence of an external magnetic field, other by the
retrograde motion in external magnetic field, in parallel with the
cathode surface. We mainly focus on developed relationship between
the ignition probability density distribution of a new cathode spot and
the external magnetic field.

Authors:

• Po-Wen Chen
• Jin-Yu Wu
• Md. Manirul Ali
• Yang Peng
• Chen-Te Chang
• Der-Jun Jan

Keywords:

• Cathode spot
• vacuum arc discharge
• transverse magnetic field
• random walk.

References:

[1] R. L. Boxman, P. J. Martin, and D. M. Sanders, Handbook of Vacuum
Arc Science and Technology (Park Ridge, NJ: Noyes, 1995).
[2] A. Anders, Cathodic Arcs: From Fractal Spot to Energetic Condendension
(Spring, 2008).
[3] J. E. Daalder, “Random walk of cathode arc spots in vacuum”, J. Phys.
D, Appl. Phys., 16, 17 (1983).
[4] I. I. Beilis, IEEE Trans Plasma Sci, Vol. 30, pp. 2124 (2002).
[5] Z. Shi, J. Xiao, S. Jia, Y. Zhang, and L. Wang, in Proc. 22nd Int. Symp.
Discharges Elect. Insul. Vac., Sep., pp. 337-340 (2006).
[6] Cong Wang, Zongqian Shi and Lijun Wang, IEEE, 99,0093 (2015).
[7] B. J¨uttner, Beitr¨age Plasmaphys., 19, 25 (1979).