Electron inertia and quasi-neutrality in the Weibel instability
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Camporeale, E and Tronci, Cesare (2017) Electron inertia and quasi-neutrality in the Weibel instability Journal of Plasma Physics, 83 (3), 705830301.
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Abstract
While electron kinetic effects are well known to be of fundamental importance in several situations, the electron mean-flow inertia is often neglected when lengthscales below the electron skin depth become irrelevant. This has led to the formulation of different reduced models, where electron inertia terms are discarded while retaining some or all kinetic effects. Upon considering general full-orbit particle trajectories, this paper compares the dispersion relations emerging from such models in the case of the Weibel instability. As a result, the question of how lengthscales below the electron skin depth can be neglected in a kinetic treatment emerges as an unsolved problem, since all current theories suffer from drawbacks of different nature. Alternatively, we discuss fully kinetic theories that remove all these drawbacks by restricting to frequencies well below the plasma frequency of both ions and electrons. By giving up on the lengthscale restrictions appearing in previous works, these models are obtained by assuming quasi-neutrality in the full Maxwell-Vlasov system.
| Item Type: | Article | |||||||||
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| Subjects : | Mathematics | |||||||||
| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | |||||||||
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| Date : | 5 June 2017 | |||||||||
| DOI : | 10.1017/S0022377817000381 | |||||||||
| Copyright Disclaimer : | © 2017 Cambridge University Press. This article has been accepted for publication in a revised form in Journal of Plasma Physics: https://www.cambridge.org/core/journals/journal-of-plasma-physics. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. | |||||||||
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| Additional Information : | This is an arXiv version of the paper. | |||||||||
| Depositing User : | Symplectic Elements | |||||||||
| Date Deposited : | 09 May 2017 15:46 | |||||||||
| Last Modified : | 16 Jan 2019 17:14 | |||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/814136 |
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