The statistical distribution of the number of electrons in avalanches followed by successors

Kondon, Y; Kajita, Shin; Ushiroda, Sumio

doi:10.1088/0022-3727/17/7/010

Cited by 3 publications

(3 citation statements)

References 7 publications

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“…[7,8] In order to explain this deviation, numerous statistical models were proposed. [14][15][16][17][18][19][20][21][22][23] A kinetic model for the evolution of electron population, accompanied by measurements of electron avalanches at a constant electric field and pressure and at different gap lengths, in methane was presented in ref. [13] Besides the statistical models, other models for the description of avalanche development have been proposed.…”

Section: Introductionmentioning

confidence: 99%

“…[13] Besides the statistical models, other models for the description of avalanche development have been proposed. [15] Kondo et al [16] developed a statistical theory for electron avalanches with successors and compared it with the results obtained by Monte Carlo simulation. [14] It was shown that the shape of the reduced avalanche size distribution (n × P(n∕n), where n is the mean avalanche size) is independent of the inter-electrode distance, that the electron multiplication process is non-Markovian, and that the distributions comply with the similarity principle.…”

Section: Introductionmentioning

confidence: 99%

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Monte Carlo simulation of electron avalanches and avalanche size distributions in methane

Jovanović

Stamenković

Stankov

et al. 2018

Contributions to Plasma Physics

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The simulation of electron avalanches and avalanche size distributions in methane is presented in this paper. A model for electron transport under the influence of a constant electric field based on the Monte Carlo method is described in detail. The model is verified and then used to simulate the avalanche development, to calculate the number of electrons in the avalanche (avalanche size), and to determine the avalanche size distribution. The simulated avalanche size distributions in methane are compared with the experimental results, and a good agreement is observed. The influence of inter-electrode distance, pressure, and reduced electric field on the shape of the avalanche size distribution is discussed. The assumption from the literature that for a constant reduced electric field the shape of the reduced avalanche size distribution is independent of the mean size of the avalanche is confirmed for a wide range of experimental conditions. The simulations have shown that avalanche size distributions depend only on the reduced electric field, confirming the similarity principle. KEYWORDSavalanche size distribution, electron avalanche, Monte Carlo simulation, similarity principle 1

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Monte Carlo simulation of electron avalanches and avalanche size distributions in methane

Jovanović

Stamenković

Stankov

et al. 2018

Contributions to Plasma Physics

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

et al. 2020

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The statistical distribution of the number of electrons in avalanches followed by successors

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 a Monte Carlo method.

Cited by 3 publications

References 7 publications

Monte Carlo simulation of electron avalanches and avalanche size distributions in methane

Monte Carlo simulation of electron avalanches and avalanche size distributions in methane

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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