Electron and ion transport in dense rare gases

Borghesani, A. F.

doi:10.1109/tdei.2006.1657960

Cited by 8 publications

(12 citation statements)

References 40 publications

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“…This is a true multi-term solution of Boltzmann's equation, whereby the upper bound in each of the l-summations are truncated at a value l max , and this value is until some convergence criteria is met on the distribution function or its velocity moments. By setting l max = 1 we obtain the two-term approximation commonly used in all electron transport theory in liquids [6,8,10], which enforces a quasi-isotropic distribution. The current theory does not make the quasi-isotropic assumption for the velocity distribution function a priori.…”

Section: Kinetic Theory and Transport Properties A Multi-term Solutio...mentioning

confidence: 99%

“…However, a few alternative theories exist that have explored liquids in different ways. Borghesani et al [6] have heuristically combined the liquid effects identified above to obtain an effective cross-section. When used in the standard equations from kinetic theory for mobility in a non-zero field, their results have been shown to be remarkably accurate.…”

Section: Introductionmentioning

confidence: 99%

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Electron scattering and transport in liquid argon

Boyle

McEachran

Cocks

et al. 2015

The Journal of Chemical Physics

102

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The transport of excess electrons in liquid argon driven out of equilibrium by an applied electric field is revisited using a multi-term solution of Boltzmann's equation together with ab initio liquid phase cross-sections calculated using the Dirac-Fock scattering equations. The calculation of liquid phase cross-sections extends previous treatments to consider multipole polarisabilities and a non-local treatment of exchange, while the accuracy of the electron-argon potential is validated through comparison of the calculated gas phase cross-sections with experiment. The results presented highlight the inadequacy of local treatments of exchange that are commonly used in liquid and cluster phase cross-section calculations. The multi-term Boltzmann equation framework accounting for coherent scattering enables the inclusion of the full anisotropy in the differential cross-section arising from the interaction and the structure factor, without an a priori assumption of quasi-isotropy in the velocity distribution function. The model, which contains no free parameters and accounts for both coherent scattering and liquid phase screening effects, was found to reproduce well the experimental drift velocities and characteristic energies.

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Section: Kinetic Theory and Transport Properties A Multi-term Solutio...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electron scattering and transport in liquid argon

Boyle

McEachran

Cocks

et al. 2015

The Journal of Chemical Physics

102

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“…It has been shown [1] that this simplistic approach cannot explain the non-linearities seen in the experiments . As we have described in Boyle et al [1], there are other theoretical approaches to exploring the effect of liquid correlations on the transport of light particles [10][11][12][13][14][15], however these either require empirical inputs, are applicable only close to equilibrium, or have heuristically combined the liquid effects identified above to obtain an effective cross-section.…”

Section: Introductionmentioning

confidence: 99%

Ab initioelectron scattering cross-sections and transport in liquid xenon

Boyle¹,

McEachran²,

Cocks³

et al. 2016

J. Phys. D: Appl. Phys.

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Ab-initio fully differential cross-sections for electrons scattering in liquid xenon are developed from a solution of the Dirac-Fock scattering equations, using a recently developed framework [1] which considers multipole polarizabilities, a non-local treatment of exchange, and screening and coherent scattering effects. A multi-term solution of Boltzmann's equation accounting for the full anisotropic nature of the differential cross-section is used to calculate transport properties of excess electrons in liquid xenon. The results were found to agree to within 25% of the measured mobilities and characteristic energies over the reduced field range of 10 −4 -1 Td. The accuracies are comparable to those achieved in the gas phase. A simple model, informed by highly accurate gas-phase crosssections, is presented to improve the liquid cross-sections, which was found to enhance the accuracy of the transport coefficient calculations. arXiv:1603.04157v1 [physics.atom-ph]

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“…Electron and positron transport in dense gaseous and liquid systems has long been studied through * ronald.white@jcu.edu.au kinetic theory, by solving the classical Boltzmann equation as modified by Cohen and Lekner [15,16], to take into account the effects of coherent scattering from background material and associated multiple scattering effects. For a review of the status of electron transport in liquid and dense gaseous systems, the reader is referred to the recent review of Sakai [16] and other prominent authors in the field [17,18]. However, Cohen and Lekner's kinetic equation is derived and utilized explicitly within the context of the "two-term" representation of the electron velocity distribution function, in which the spherical harmonic representation in velocity space is limited to two terms and is thus limited to situations of quasi-isotropy.…”

Section: Introductionmentioning

confidence: 99%

Multiterm solution of a generalized Boltzmann kinetic equation for electron and positron transport in structured and soft condensed matter

White

Robson

2011

Phys. Rev. E

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In this paper, we generalize the semiclassical Boltzmann kinetic equation for dilute gases to consider highly nonequilibrium electrons and positrons in soft condensed matter, accounting rigorously for all types of interactions, including positronium formation, and allowing for both coherent and incoherent scattering processes. The limitations inherent in the seminal paper of Cohen and Lekner [M. H. Cohen and J. Lekner, Phys. Rev. 158, 305 (1967); Y. Sakai, J. Phys. D 40, R441 (2007)] are avoided by solving the kinetic equation using a "multiterm" spherical harmonic representation of the velocity distribution function, as well as formulating a necessarily nonperturbative treatment of nonconservative collisional processes such as positronium formation. Numerical calculations of transport properties are carried out for a Percus-Yevick model of a hard-sphere system, and for positrons in liquid argon. New phenomena are predicted, including structure-induced negative conductivity and anisotropic diffusion.

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Electron and ion transport in dense rare gases

Cited by 8 publications

References 40 publications

Electron scattering and transport in liquid argon

Electron scattering and transport in liquid argon

Ab initioelectron scattering cross-sections and transport in liquid xenon

Multiterm solution of a generalized Boltzmann kinetic equation for electron and positron transport in structured and soft condensed matter

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