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 de...
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| Published in: | Вопросы атомной науки и техники |
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| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/81790 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862751446700654592 |
|---|---|
| author | Ågren, O. Moiseenko, V.E. |
| author_facet | Ågren, O. Moiseenko, V.E. |
| 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. |
| collection | DSpace DC |
| container_title | Вопросы атомной науки и техники |
| 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.
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| first_indexed | 2025-12-07T21:11:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-81790 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T21:11:06Z |
| publishDate | 2006 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Four motional invariants in adiabatic equilibria Ågren, O. Moiseenko, V.E. Basic plasma physics |
| title | 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_short | Four motional invariants in adiabatic equilibria |
| title_sort | four motional invariants in adiabatic equilibria |
| topic | Basic plasma physics |
| topic_facet | Basic plasma physics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/81790 |
| work_keys_str_mv | AT agreno fourmotionalinvariantsinadiabaticequilibria AT moiseenkove fourmotionalinvariantsinadiabaticequilibria |