From binomial distribution of electron occurrence to Gauss and Gauss-exponential distribution of the statistical time delay: Analytical transition and simulations
1 Department of Physics, Faculty of Sciences and Mathematics, University of Niš - PO Box 224, 18001 Niš, Serbia
2 Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš PO Box 224, 18001 Niš, Serbia
Received: 3 September 2012
Accepted: 6 November 2012
Starting from the binomial distribution for the electron occurrence in the interelectrode space, the Gaussian and mixed Gauss-exponential distribution for the statistical time delay are theoretically derived based on physical grounds. The analytical transition from discrete (number) representation to continuous (time) representation is accompanied by the Monte Carlo simulation of the statistical time delay distributions.
PACS: 51.50.+v – Electrical properties (ionization, breakdown, electron and ion mobility, etc.) / 52.80.-s – Electric discharges / 02.50.Ng – Distribution theory and Monte Carlo studies
© EPLA, 2012