The diffusion and drift of electrons in gases a Monte-Carlo simulation

Braglia, G. L.

doi:10.1016/0378-4363(77)90153-x

Cited by 31 publications

(27 citation statements)

References 34 publications

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“…This probability is calculated for each electron in each time step, and decision about the occurrence of a collision is made by comparing P coll with a random number. Another random number is used to select that actual process to be executed, based on the values of the respective cross sections of the individual processes at the actual value of the relative energy of the collision partners [10]. Collisions are executed in the center-of-mass frame, and are considered to be isotropic.…”

Section: Particle Simulationmentioning

confidence: 99%

“…The computational methods of kinetic theory can be split into two major groups. Particle-based methods trace a large number of individual particles in the external field(s) [10] and via proper sampling schemes they allow the construction of f (r, v, t) and the computation of swarm transport parameters. Boltzmann equation (BE) approaches [11] use different types of expansions of the VDF and solve the set of the resulting differential equations.…”

Section: Introductionmentioning

confidence: 99%

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First-principles particle simulation and Boltzmann equation analysis of negative differential conductivity and transient negative mobility effects in xenon

Dyatko

2016

Eur. Phys. J. D

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The Negative Differential Conductivity and Transient Negative Mobility effects in xenon gas are analyzed by a first-principles particle simulation technique and via an approximate solution of the Boltzmann transport equation (BE). The particle simulation method is devoid of the approximations that are traditionally adopted in the BE solutions in which (i) the distribution function is searched for in a twoterm form, (ii) the Coulomb part of the collision integral for the anisotropic part of the distribution function is neglected, (iii) Coulomb collisions are treated as binary events, and (iv) the range of the electron-electron interaction is limited to a cutoff distance. The results obtained from the two methods are, for both effects, in good qualitative agreement, small differences are attributed to the approximations listed above.PACS. 52.25.Dg Plasma kinetic equations -52.65.-y Plasma simulation

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Section: Particle Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

First-principles particle simulation and Boltzmann equation analysis of negative differential conductivity and transient negative mobility effects in xenon

Dyatko

2016

Eur. Phys. J. D

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“…Good simulations for electrons in gases require extremely accurate calculations to avoid that cumulated errors lead to incorrect conclusions. But, even with this request clearly in mind, Montecarlo simulations can become inaccurate if the statistics is insufficient [8]. This, in practice, always forces one to follow electron motions for a high number of collisions and free paths under the action of the field.…”

Section: -The Problemmentioning

confidence: 99%

Montecarlo and boltzmann calculations of electron energy distributions in RF fields

Braglia

Ricci

Wilhelm³

et al. 1991

Nouv Cim D

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Summary. --Detailed comparisons between Montecarlo and Boltzmann calculations of electron energy distributions in gases acted upon by RF fields are presented. Attention is turned to model gases of special theoretical interest but various calculations have also been made for real gases such as pure CO and He-CO mixtures. The analysis has shown that large discrepancies exist between energy distributions obtained with the two mentioned techniques under conditions of particular physical interest. The discrepancies are found to be the consequence of the two-term approximation and are expected to disappear if an appropriate multiterm solution of the Boltzmann equation is adopted.PACS 51.50 -Electrical phenomena in gases.

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“…21 Os =2cos-J[O_r)l/(m+2l]. The randomly distributed scattering angle, Os is obtained from pee) by normalizing the differential scattering probability to unity for scattering in the range O<Os<1T, and inverting the integral.…”

Section: E+m+-m+ +E;mentioning

confidence: 99%

Application of a particle simulation to modeling commutation in a linear thyratron

Kushner

1987

Journal of Applied Physics

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Commutation is the period during which a thyratron makes the transition between an open state and a conducting state. During commutation the voltage across the thyratron decreases from the holdoffvoltage to the conduction value; 1O's ofkV to < 100 V. The time for commutation, as measured by the anode voltage fall time, is usually 10-100 ns, a value whi.ch depends on the holdoffvoltage, internal gas pressure, and grid geometry. In this paper, a model for commutation in a thyratron is described and its results are compared to experiment for a thyratron having a linear geometry. The model uses a Monte Carlo particle simulation for electrons and a continuum fluid representation for ions. A particle mUltiplication and renormalization scheme is used in the model to simulate electron avalanche so that only a moderate number of particles (4000-12000) need to be used. A modified null cross-section technique is used to account for large changes in the density of electron collision partners as a function of position or time. A model for the external circuit enables simulation of current and voltage. Results from the model for these quantities agree wen with experiment, and indicate that commutation occurs in two stages. A survey study contrasts the tradeoff between highvoltage holdoff and switching speed.

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The diffusion and drift of electrons in gases a Monte-Carlo simulation

Cited by 31 publications

References 34 publications

First-principles particle simulation and Boltzmann equation analysis of negative differential conductivity and transient negative mobility effects in xenon

First-principles particle simulation and Boltzmann equation analysis of negative differential conductivity and transient negative mobility effects in xenon

Montecarlo and boltzmann calculations of electron energy distributions in RF fields

Application of a particle simulation to modeling commutation in a linear thyratron

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