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Finite beta correction to the magnetic flux tube ellipticity of the straight field line mirror
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Division for Electricity and Lightning Research.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Division for Electricity and Lightning Research.
2006 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 13, no 12, 122504- p.Article in journal (Refereed) Published
Abstract [en]

A marginal minimum B mirror magnetic field has been proposed as an external plasma confining magnetic field for a single cell open magnetic mirror trap. An analytical expression for the flux tube ellipticity of this magnetic field has in a previous study been derived with a zero plasma Β approximation. This mirror field, which consists of straight nonparallel field lines in the confinement region, has a particular interest since it is likely to correspond to the smallest possible ellipticity for a magnetohydrodynamic stable mirror confinement. The plasma current is in this paper taken into account to the first order in Β and the influence of the plasma magnetic field on the magnetic flux surface geometry is studied.

Place, publisher, year, edition, pages
2006. Vol. 13, no 12, 122504- p.
National Category
Physical Sciences Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-94159DOI: 10.1063/1.2401153ISI: 000243158800024OAI: oai:DiVA.org:uu-94159DiVA: diva2:167913
Available from: 2006-03-21 Created: 2006-03-21 Last updated: 2017-12-14Bibliographically approved
In thesis
1. MHD Stability and Confinement of Plasmas in a Single Mirror Cell
Open this publication in new window or tab >>MHD Stability and Confinement of Plasmas in a Single Mirror Cell
2006 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Thermonuclear fusion is a promising energy source for the future. If an economically efficient thermonuclear reactor would be built it has to be a cheap, safe, and highly productive electric power plant, or, a heating plant.

The emphasis of this thesis is on the single cell mirror trap with a marginally stable minimum B vacuum magnetic field, the straight field line mirror field, which provides MHD stability of the system, absence of the radial drift even to the first order in plasma β , and a reduced magnetic flux tube ellipticity. Strong density depletion at the mirrors is proposed as a mean to build up a strong potential barrier for the electrons and thereby increase the electron temperature. Conditions to obtain an energy gain factor Q>10 are briefly analyzed. Current coils which could generate the derived magnetic field are proposed. A sloshing ion distribution function is constructed for the three dimensional ‘straight line mirror field’. The gyro centre Clebsch coordinates are found to be a new pair of motional invariants for this magnetic field. The gyro centre Clebsch coordinate invariants can be used to obtain complete solutions of the Vlasov equation, including the diamagnetic drift. These solutions show that the equilibria satisfy the locally omniginuity criterion to the first order in β .

Contributions of the plasma diamagnetism to the magnetic flux tube ellipticity are studied for the straight field line mirror vacuum magnetic field and a sloshing ion distribution. Computations employing ray tracing have shown that there is a modest increase in the ellipticity, but the effect is small if β <0.2 .

Adiabatic charged particle motion in general field geometry has been studied. A set of four independent stationary invariants, the energy, the magnetic moment, the radial drift invariant, and the bounce average parallel velocity is proposed to describe adiabatic equilibria.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2006. xii + 100 p.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 155
Keyword
Engineering physics, MHD, plasma confinement, magnetic mirror, adiabatic particle motion, adiabatic invariants, Teknisk fysik
National Category
Other Engineering and Technologies
Identifiers
urn:nbn:se:uu:diva-6637 (URN)91-554-6497-1 (ISBN)
Public defence
2006-04-12, Polhemsalen, Ångström Laboratory, Uppsala, 10:15
Opponent
Supervisors
Available from: 2006-03-21 Created: 2006-03-21 Last updated: 2011-02-18Bibliographically approved

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Ågren, Olov

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