Abstract
In this paper, a two-dimensional statistical model for a single cathode spot of vacuum arc with copper cathode has been established to simulate its random walk and retrograde motion under external transverse magnetic field. A parameter, k, was used to denote the different probabilities of cathode spot motion in Amperes direction and retrograde direction. With this model, the distribution of the probability density of cathode spot occurring in different area on cathode surface was simulated at different arcing time.
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