Four motional invariants in adiabatic equilibria
Recently published derivations of four stationary motional invariants in adiabatic equilibria are presented. The four invariants contains a radial drift invariant, which determines the density radial profile and the diamagnetic drift, and an additional parallel invariant that determines the pla...
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| Veröffentlicht in: | Вопросы атомной науки и техники |
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| Datum: | 2006 |
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| Sprache: | English |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2006
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Four motional invariants in adiabatic equilibria / O. Ågren, V.E. Moiseenko1 // Вопросы атомной науки и техники. — 2006. — № 6. — С. 89-93. — Бібліогр.: 8 назв. — англ. |
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Ågren, O. Moiseenko, V.E. 2015-05-20T16:48:03Z 2015-05-20T16:48:03Z 2006 Four motional invariants in adiabatic equilibria / O. Ågren, V.E. Moiseenko1 // Вопросы атомной науки и техники. — 2006. — № 6. — С. 89-93. — Бібліогр.: 8 назв. — англ. 1562-6016 PACS: 52.50.Lp, 52.55.Jd, 52.55.Ez https://nasplib.isofts.kiev.ua/handle/123456789/81790 Recently published derivations of four stationary motional invariants in adiabatic equilibria are presented. The four invariants contains a radial drift invariant, which determines the density radial profile and the diamagnetic drift, and an additional parallel invariant that determines the plasma current along the magnetic field. Thus, there are in general more than three stationary invariants for the adiabatic motion of a gyrating particle. The result is valid to first order in the gyro radius, and is applicable to geometries with adiabatic fields, including toroidal as well as open trap geometry. In axisymmetric tori, the toroidal invariant can replace the longitudinal invariant in the analysis and the radial invariant can be determined from the projected gyro center motion. The four invariants is determined for passing as well as trapped particles. For equilibria with sufficiently small banana widths, the radial invariant can to lowest order be approximated by the gyro center value of the radial Clebsch coordinate. To this lowest order, the gyro centers drift on a magnetic flux surface. Prof. Mats Leijon is acknowledged for support. The Swedish Institute has provided Vladimir Moiseenko with a grant to do studies at Uppsala University. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Basic plasma physics Four motional invariants in adiabatic equilibria Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Four motional invariants in adiabatic equilibria |
| spellingShingle |
Four motional invariants in adiabatic equilibria Ågren, O. Moiseenko, V.E. Basic plasma physics |
| title_short |
Four motional invariants in adiabatic equilibria |
| title_full |
Four motional invariants in adiabatic equilibria |
| title_fullStr |
Four motional invariants in adiabatic equilibria |
| title_full_unstemmed |
Four motional invariants in adiabatic equilibria |
| title_sort |
four motional invariants in adiabatic equilibria |
| author |
Ågren, O. Moiseenko, V.E. |
| author_facet |
Ågren, O. Moiseenko, V.E. |
| topic |
Basic plasma physics |
| topic_facet |
Basic plasma physics |
| publishDate |
2006 |
| language |
English |
| container_title |
Вопросы атомной науки и техники |
| publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| format |
Article |
| description |
Recently published derivations of four stationary motional invariants in adiabatic equilibria are presented. The four
invariants contains a radial drift invariant, which determines the density radial profile and the
diamagnetic drift, and an additional parallel invariant that determines the plasma current along the magnetic field.
Thus, there are in general more than three stationary invariants for the adiabatic motion of a gyrating particle. The
result is valid to first order in the gyro radius, and is applicable to geometries with adiabatic fields, including toroidal
as well as open trap geometry. In axisymmetric tori, the toroidal invariant can replace the longitudinal invariant in the
analysis and the radial invariant can be determined from the projected gyro center motion. The four invariants is
determined for passing as well as trapped particles. For equilibria with sufficiently small banana widths, the radial
invariant can to lowest order be approximated by the gyro center value of the radial Clebsch coordinate.
To this lowest order, the gyro centers drift on a magnetic flux surface.
|
| issn |
1562-6016 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/81790 |
| citation_txt |
Four motional invariants in adiabatic equilibria / O. Ågren, V.E. Moiseenko1 // Вопросы атомной науки и техники. — 2006. — № 6. — С. 89-93. — Бібліогр.: 8 назв. — англ. |
| work_keys_str_mv |
AT agreno fourmotionalinvariantsinadiabaticequilibria AT moiseenkove fourmotionalinvariantsinadiabaticequilibria |
| first_indexed |
2025-12-07T21:11:06Z |
| last_indexed |
2025-12-07T21:11:06Z |
| _version_ |
1850885397768306688 |