Distribution of the number of electrons in electron avalanches at voltages in excess of the sparking value

Kondo, Y.

doi:10.1063/1.334538

Cited by 2 publications

(1 citation statement)

References 11 publications

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“…Kondo and Miyoshi [23] presented a theoretical study on the statistical distribution function of the number of electrons in a series of electron avalanches at a high-energy particle initiation. Also, in the papers by Kondo et al [24,25], a statistical theory of the total number of electrons in electron avalanches is presented and compared with Monte Carlo simulation results for times greater than the electron transit time.…”

Section: Introductionmentioning

confidence: 99%

Generalization of electron avalanche statistics based on negative binomial distribution—multielectron initiation and Gaussian approximation

Stamenković¹,

Marković²,

Jovanović

et al. 2018

J. Inst.

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The electron avalanche statistics was mainly developed in the approximation of a single electron initiation, following Furry and exponential distributions. The electron avalanche statistics is now generalized relying on the multielectron initiation and the negative binomial distribution (NBD). In an extreme case, for the probability of finding n electrons in an avalanche, the following approximations are applied: a) a Furry/exponential distribution for a single initiating electron (k = 1); b) a Gaussian distribution for the multielectron initiation (k 1). The multielectron initiation leads to a deviation of electron number distributions from exponential ones (i.e. an underpopulation at low electron numbers). In this case, the avalanche statistics is successfully described by NBDs. Statistical models based on NBDs are supported by a Monte Carlo simulation of the avalanche size distributions. K: Charge transport and multiplication in gas; Ionization and excitation processes; Analysis and statistical methods; Detector modelling and simulations II (electric fields, charge transport, multiplication and induction, pulse formation, electron emission, etc) 1Corresponding author.

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Section: Introductionmentioning

confidence: 99%

Generalization of electron avalanche statistics based on negative binomial distribution—multielectron initiation and Gaussian approximation

Stamenković¹,

Marković²,

Jovanović

et al. 2018

J. Inst.

View full text Add to dashboard Cite

show abstract

Statistical and numerical analysis of secondary electron avalanches with ion-induced electron emission in air

et al. 2020

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Distribution of the number of electrons in electron avalanches at voltages in excess of the sparking value

Abstract: For times greater than the electron transit time, a suitable statistical theory of the total number of electrons in avalanches is presented, and compared with the results simulated by the Monte Carlo method.

Cited by 2 publications

References 11 publications

Generalization of electron avalanche statistics based on negative binomial distribution—multielectron initiation and Gaussian approximation

Generalization of electron avalanche statistics based on negative binomial distribution—multielectron initiation and Gaussian approximation

Statistical and numerical analysis of secondary electron avalanches with ion-induced electron emission in air

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