S R Gocić et al 2009 J. Phys. D: Appl. Phys. 42 212001 doi:10.1088/0022-3727/42/21/212001
S R Gocić1, V Lj Marković and S N Stamenković
Show affiliationsThe determination of the correlation coefficient between the statistical and formative time delay of dc electrical breakdown in nitrogen is presented in this paper. Starting from a bivariate normal (Gaussian) distribution of two random variables, the analytical distribution of the electrical breakdown time delay is theoretically founded on correlation of the dependent statistical and formative time delay, contrary to convolution of independent variables. Within the limits, a Gaussian density distribution of the electrical breakdown time delay goes to a Gaussian of the formative time or to a Gaussian of the statistical time delay depending on electron yields (preionization level) in the interelectrode space, while the correlation coefficient is determined in the transition region from tf to ts dominated statistics.
51.50.+v Electrical properties (ionization, breakdown, electron and ion mobility, etc.)
02.50.Ng Distribution theory and Monte Carlo studies
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
Issue 21 (7 November 2009)
Received 31 July 2009, in final form 15 September 2009
Published 6 October 2009
S R Gocić et al 2009 J. Phys. D: Appl. Phys. 42 212001
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