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dc.contributor.authorHutchinson, Ian Horner
dc.date.accessioned2020-03-27T20:41:37Z
dc.date.available2020-03-27T20:41:37Z
dc.date.issued2018-11
dc.date.submitted2018-04
dc.identifier.issn1469-7807
dc.identifier.issn0022-3778
dc.identifier.urihttps://hdl.handle.net/1721.1/124399
dc.description.abstractThe stability of an initially one-dimensional electron hole to perturbations varying sinusoidally transverse to its trapping direction is analysed in detail. It is shown that the expected low-frequency eigenmode of the linearized Vlasov-Poisson system consists of a shift mode, proportional to the gradient of the equilibrium potential. The resulting dispersion relation is that the total jetting force exerted by a perturbed hole on the particles balances the electric restoring tension of the hole. The tension is quantitatively small and can often be ignored. The particle force is expressed as integrals of equilibrium parameters over the hole and is shown at low frequency to be exactly equal to what has recently been found (by different analysis) to express 'kinematic' hole momentum conservation. The mechanism of instability has nothing to do with the previously hypothesized transverse electron focusing. The unmagnetized growth rate γ (k) is found numerically and is in excellent agreement with recent kinematic estimates. Magnetic field stabilization of the transverse mode is also evaluated. The resulting stability boundary for Maxwellian holes is in reasonable agreement with previously published criteria based on particle simulation. It arises from a change of trapped force sign across the resonance between bounce and cyclotron frequencies. ©2018en_US
dc.description.sponsorshipNASA (Grant NNX16AG82G)en_US
dc.language.isoen
dc.publisherCambridge University Press (CUP)en_US
dc.relation.isversionof10.1017/S0022377818000909en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleTransverse instability of electron phase-space holes in multi-dimensional Maxwellian plasmasen_US
dc.typeArticleen_US
dc.identifier.citationHutchinson, I.H., "Transverse instability of electron phase-space holes in multi-dimensional Maxwellian plasmas." Journal of Plasma Physics 84, 4 (November 2018): no. 905840411 doi 10.1017/S0022377818000909 ©2018 Authoren_US
dc.contributor.departmentMassachusetts Institute of Technology. Plasma Science and Fusion Centeren_US
dc.relation.journalJournal of Plasma Physicsen_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dc.date.updated2020-02-27T15:17:57Z
dspace.date.submission2020-02-27T15:17:59Z
mit.journal.volume84en_US
mit.journal.issue4en_US
mit.licenseOPEN_ACCESS_POLICY
mit.metadata.statusComplete


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