Solution of the Boltzmann equation with ionisation and attachment: application to SF<sub>6</sub>

Yousfi, M.; Ségur, P.; Vassiliadis, T

doi:10.1088/0022-3727/18/3/006

Cited by 64 publications

(34 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since .˛ Á/ is the rate of change of the number of electrons per length unity along the direction of the electron drift caused by the field, the diffusion terms in equations (5.7) and (5.8) for the isotropic f 0 e and anisotropic f 1 e components of the electron velocity distribution function, respectively, under the two term approximation, can be taken into account as in Yousfi et al (1985) and Itoh et al (1988) by making the replacements where .˛ Á/=n o is usually termed effective reduced Townsend ionization coefficient.…”

Section: Boltzmann Equation With Ionization and Attachmentmentioning

confidence: 99%

See 1 more Smart Citation

Kinetics and Spectroscopy of Low Temperature Plasmas

Loureiro

Amorim

2016

Graduate Texts in Physics

View full text Add to dashboard Cite

Graduate Texts in Physics publishes core learning/teaching material for graduateand advanced-level undergraduate courses on topics of current and emerging fields within physics, both pure and applied. These textbooks serve students at the MS-or PhD-level and their instructors as comprehensive sources of principles, definitions, derivations, experiments and applications (as relevant) for their mastery and teaching, respectively. International in scope and relevance, the textbooks correspond to course syllabi sufficiently to serve as required reading. Their didactic style, comprehensiveness and coverage of fundamental material also make them suitable as introductions or references for scientists entering, or requiring timely knowledge of, a research field.More information about this series at

show abstract

Section: Boltzmann Equation With Ionization and Attachmentmentioning

confidence: 99%

“…As pointed out in Yousfi et al (1985) the attachment coefficient may be very sensitive to the value assumed for the energy partition after an ionizing collision between the secondary and the scattered electrons, in particular as this share of …”

Section: Boltzmann Calculations For Sf 6 With a Buffer Gasmentioning

confidence: 99%

Kinetics and Spectroscopy of Low Temperature Plasmas

Loureiro

Amorim

2016

Graduate Texts in Physics

View full text Add to dashboard Cite

show abstract

“…The second term on the right-hand side of these equations describes the explicit contribution of the non-conservative collision processes by the velocity-space averaging over the product ofν eff (v) and the expansion coefficients of order 1 and 2, respectively. The effective or apparent Townsend ionization coefficient α, as determined in SST experiments, can be computed either from F (S) ( v), the distribution function at SST conditions obtained from the solution of an additional equation similar to the one for the expansion coefficient F (0) , as [46]…”

Section: Density Gradient Representationmentioning

confidence: 99%

“…In the case of the diffusion tensor, the comparison is more complex. Using the Boltzmann equation for each component of F (1) , we can rewrite equations (23) and (24) as [35,46]…”

Section: Density Gradient Representationmentioning

confidence: 99%

Electron transport parameters in CO₂: scanning drift tube measurements and kinetic computations

Vass

Korolov

Loffhagen

et al. 2017

Plasma Sources Sci. Technol.

View full text Add to dashboard Cite

This work presents transport coefficients of electrons (bulk drift velocity, longitudinal diffusion coefficient, and effective ionization frequency) in CO 2 measured under time-of-flight conditions over a wide range of the reduced electric field, 15 Td ≤ E/N ≤ 2660 Td in a scanning drift tube apparatus. The data obtained in the experiments are also applied to determine the effective steady-state Townsend ionization coefficient. These parameters are compared to the results of previous experimental studies, as well as to results of various kinetic computations: solutions of the electron Boltzmann equation under different approximations (multiterm and density gradient expansions) and Monte Carlo simulations. The experimental data extend the range of E/N compared with previous measurements and are consistent with most of the transport parameters obtained in these earlier studies. The computational results point out the range of applicability of the respective approaches to determine the different measured transport properties of electrons in CO 2 . They demonstrate as well the need for further improvement of the electron collision cross section data for CO 2 taking into account the present experimental data.

show abstract

“…Although several extensions to the definitions for D vʈ and D vЌ have been reported ͑Makabe and Mori, 10 Yousfi et al 11 ͒, the original definitions derived from Eq. ͑3͒ are considered in this study.…”

Section: ͑2͒mentioning

confidence: 99%

Electron swarm parameters in ramp electric fields

Date

Ventzek

Shimozuma

et al. 1996

Journal of Applied Physics

View full text Add to dashboard Cite

The behavior of electron swarms in gases in time-varying ramp electric fields is investigated using a Monte Carlo simulation. In particular, we consider the case of swarms in chlorine gas. Swarm parameters as a function of instantaneous E/N(E is the electric field and N is the gas number density͒ for different dE/dt are determined. At higher dE/dt, all the parameters as a function of E/N are shifted to larger E/N when compared to the steady-state case. The drift velocity curve develops a peak which shifts to higher E/N and increases in magnitude as dE/dt is increased. Next, we pay attention to the definition of the swarm parameters, where the parameters derived from kinetic theory and by analogy to experiment are compared. For the high dE/dt cases, differences in the swarm parameters at the same E/N values are caused by the inertia of the electrons and their transient beam-like high drift velocity, while discrepancies due to the difference between the definitions in the kinetic theory and in the analogy to experiment appear significantly.

show abstract

Solution of the Boltzmann equation with ionisation and attachment: application to SF₆

Cited by 64 publications

References 28 publications

Kinetics and Spectroscopy of Low Temperature Plasmas

Kinetics and Spectroscopy of Low Temperature Plasmas

Electron transport parameters in CO₂: scanning drift tube measurements and kinetic computations

Electron swarm parameters in ramp electric fields

Contact Info

Product

Resources

About

Solution of the Boltzmann equation with ionisation and attachment: application to SF6

Cited by 64 publications

References 28 publications

Kinetics and Spectroscopy of Low Temperature Plasmas

Kinetics and Spectroscopy of Low Temperature Plasmas

Electron transport parameters in CO2: scanning drift tube measurements and kinetic computations

Electron swarm parameters in ramp electric fields

Contact Info

Product

Resources

About

Solution of the Boltzmann equation with ionisation and attachment: application to SF₆

Electron transport parameters in CO₂: scanning drift tube measurements and kinetic computations