Third-order transport properties of ion-swarms from mobility and diffusion coefficients

Koutselos, Andreas D.

doi:10.1016/j.chemphys.2005.03.026

Cited by 4 publications

(3 citation statements)

References 29 publications

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“…Vrhovac and co-workers investigated the third-order transport tensor for electrons in He, Ne and Ar by employing the momentum transfer theory [18]. Koutselos studied the third-order transport coefficients of ions in atomic gases by using the molecular dynamics simulations and a three-temperature method for solving Boltzmann's equation [21][22][23][24]. The equality of the higher-order transport coefficients between an electron swarm developing from multiple electron sources and another originating from a single electron source was investigated by Sugawara and Sakai [25].…”

Section: Introductionmentioning

confidence: 99%

Third-order transport coefficient tensor of electron swarms in noble gases

et al. 2020

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In this work we extend a multi term solution of the Boltzmann equation for electrons in neutral gases to consider the third-order transport coefficient tensor. Calculations of the third-order transport coefficients have been carried out for electrons in noble gases, including helium (He), neon (Ne), argon (Ar), krypton (Kr) and xenon (Xe) as a function of the reduced electric field, E/n0 (where E is the electric field while n0 is the gas number density). Three fundamental issues are considered: (i) the correlation between the longitudinal component of the third-order transport tensor and the longitudinal component of the diffusion tensor, (ii) the influence of the third-order transport coefficients on the spatial profile of electron swarm, and (iii) the errors associated with the two term approximation for calculating the thirdorder transport coefficients for electron swarms in noble gases. It is found that a very strong correlation exists between the longitudinal components of the third-order transport coefficient tensor and diffusion tensor for the higher values of E/n0. The effects of the third-order transport coefficients on the spatial profile of electron swarms are the most pronounced for noble gases with the Ramsauer-Townsend minimum in the cross sections for elastic scattering. The largest errors of two term approximation are observed in the off-diagonal elements of the third-order transport coefficient tensor in Ar, Kr and Xe for the higher values of E/n0.

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Section: Introductionmentioning

confidence: 99%

Third-order transport coefficient tensor of electron swarms in noble gases

et al. 2020

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“…Koutselos 34 has presented a similar relationship between the skewness tensor and lower-order transport coefficients for the case of the classical Boltzmann equation.…”

Section: Relating Skewness Mobility and Temperaturementioning

confidence: 80%

Third-order transport coefficients for localised and delocalised charged-particle transport

Stokes

Simonovic

Philippa

et al. 2018

Sci Rep

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We derive third-order transport coefficients of skewness for a phase-space kinetic model that considers the processes of scattering collisions, trapping, detrapping and recombination losses. The resulting expression for the skewness tensor provides an extension to Fick’s law which is in turn applied to yield a corresponding generalised advection-diffusion-skewness equation. A physical interpretation of trap-induced skewness is presented and used to describe an observed negative skewness due to traps. A relationship between skewness, diffusion, mobility and temperature is formed by analogy with Einstein’s relation. Fractional transport is explored and its effects on the flux transport coefficients are also outlined.

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“…Simonović and co-workers have determined the structure of this tensor in all configurations of electric and magnetic field, and they have investigated the physical interpretation of the individual components of this tensor [58]. Koutselos studied the third-order transport coefficients for ions in atomic gases, by employing molecular dynamics simulations and a three-temperature method for solving the Boltzmann equation [52,[66][67][68]. Third-order transport coefficients for electrons in noble gases were investigated by Penetrante and Bardsley [61], Vrhovac et al [56] and Simonović et al [69].…”

Section: Introductionmentioning

confidence: 99%

Third-order transport coefficients for electrons in N₂ and CF₄: effects of non-conservative collisions, concurrence with diffusion coefficients and contribution to the spatial profile of the swarm

Simonovic¹,

Bošnjaković²,

Petrović³

et al. 2022

Plasma Sources Sci. Technol.

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Using a multi-term solution of the Boltzmann equation and Monte Carlo simulation technique we study behaviour of the third-order transport coefficients for electrons in model gases, including the ionisation model of Lucas and Saelee and modified Ness-Robson model of electron attachment, and in real gases, including N2 and CF4. We observe negative values in the E/n 0-profiles of the longitudinal and transverse third-order transport coefficients for electrons in CF4 (where E is the electric field and n 0 is the gas number density). While negative values of the longitudinal third-order transport coefficients are caused by the presence of rapidly increasing cross sections for vibrational excitations of CF4, the transverse third-order transport coefficient becomes negative over the E/n 0-values after the occurrence of negative differential conductivity. It is found that the accuracy of the two-term approximation for solving the Boltzmann equation is sufficient to investigate the behaviour of the third-order transport coefficients in N2, while for electrons in CF4 it produces large errors and is not even qualitatively correct . The influence of implicit and explicit effects of electron attachment and ionisation on the third-order transport tensor is investigated. In particular, we discuss the effects of attachment heating and attachment cooling on the third-order transport coefficients for electrons in the modified Ness-Robson model, while the effects of ionisation are studied for electrons in the ionisation model of Lucas and Saelee, N2 and CF4. The concurrence between the third-order transport coefficients and the components of the diffusion tensor, and the contribution of the longitudinal component of the third-order transport tensor to the spatial profile of the swarm are also investigated. For electrons in CF4 and CH4, we found that the contribution of the component of the third-order transport tensor to the spatial profile of the swarm between approximately 50 Td and 700 Td, is almost identical to the corresponding contribution for electrons in N2. This suggests that the recent measurements of third-order transport coefficients for electrons in N2 may be extended and generalized to other gases, such as CF4 and CH4.

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Third-order transport properties of ion-swarms from mobility and diffusion coefficients

Cited by 4 publications

References 29 publications

Third-order transport coefficient tensor of electron swarms in noble gases

Third-order transport coefficient tensor of electron swarms in noble gases

Third-order transport coefficients for localised and delocalised charged-particle transport

Third-order transport coefficients for electrons in N₂ and CF₄: effects of non-conservative collisions, concurrence with diffusion coefficients and contribution to the spatial profile of the swarm

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Third-order transport properties of ion-swarms from mobility and diffusion coefficients

Cited by 4 publications

References 29 publications

Third-order transport coefficient tensor of electron swarms in noble gases

Third-order transport coefficient tensor of electron swarms in noble gases

Third-order transport coefficients for localised and delocalised charged-particle transport

Third-order transport coefficients for electrons in N2 and CF4: effects of non-conservative collisions, concurrence with diffusion coefficients and contribution to the spatial profile of the swarm

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Third-order transport coefficients for electrons in N₂ and CF₄: effects of non-conservative collisions, concurrence with diffusion coefficients and contribution to the spatial profile of the swarm