Quasi-isodynamic stellarator

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A quasi-isodynamic (QI) stellarator is a type of stellarator (a magnetic confinement fusion reactor) that satisfies the property of omnigeneity, avoids the potentially hazardous toroidal bootstrap current, and has minimal neoclassical transport in the collisionless regime. [1]

Wendelstein 7-X, the largest stellarator in the world, was designed to be roughly quasi-isodynamic (QI).

In contrast to quasi-symmetric fields, [2] exactly QI fields on flux surfaces cannot be expressed analytically. [3] However, it has been shown that nearly-exact QI can be extremely well approximated through mathematical optimization, [4] and that the resulting fields enjoy the aforementioned properties.

In a QI field, level curves of the magnetic field strength on a flux surface close poloidally (the short way around the torus), and not toroidally (the long way around), causing the stellarator to resemble a series of linked magnetic mirrors.

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<span class="mw-page-title-main">Flux surface</span>

In magnetic confinement fusion, a flux surface is a surface on which magnetic field lines lie. Since the magnetic field is divergence-free, the Poincare-Hopf theorem implies that such a surface must be either a torus, or a knot. In the tokamak and the stellarator flux surfaces have toroidal shapes, whereas the more exotic knotatron has a knotted flux surface. Flux surfaces are typically characterized by the poloidal magnetic flux or the toroidal magnetic flux. The poloidal flux is the magnetic flux passing through a ribbon going from the magnetic axis to the flux surface, and the toroidal flux is the magnetic flux passing through a circle which encloses the magnetic axis. The total flux passing through flux surface itself is zero, as magnetic field lines are everywhere tangent to the surface.

<span class="mw-page-title-main">Quasisymmetry</span>

In magnetic confinement fusion, quasisymmetry is a type of continuous symmetry in the magnetic field strength of a stellarator. Quasisymmetry is desired, as Noether's theorem implies that there exists a conserved quantity in such cases. This conserved quantity ensures that particles stick to the flux surface, resulting in better confinement and neoclassical transport.

References

  1. Helander, Per; Nührenberg, Jurgen (February 2009). "Bootstrap current and neoclassical transport in quasi-isodynamic stellarators". Plasma Physics and Controlled Fusion. 51 (5): 055004. Bibcode:2009PPCF...51e5004H. doi:10.1088/0741-3335/51/5/055004. hdl: 11858/00-001M-0000-0026-F470-B . S2CID   250779652.
  2. Boozer, Allen H. (1983). "Transport and isomorphic equilibria". Physics of Fluids. 26 (2): 496–499. Bibcode:1983PhFl...26..496B. doi:10.1063/1.864166.
  3. Cary, John R.; Shasharina, Svetlana G. (September 1997). "Omnigenity and quasihelicity in helical plasma confinement systems". Physics of Plasmas. 4 (9): 3323–3333. Bibcode:1997PhPl....4.3323C. doi:10.1063/1.872473. ISSN   1070-664X.
  4. Goodman, Alan; et al. (September 2023). "Constructing precisely quasi-isodynamic magnetic fields". Journal of Plasma Physics. 89 (5): 905890504. arXiv: 2211.09829 . Bibcode:2023JPlPh..89e9004G. doi: 10.1017/S002237782300065X . S2CID   253708037.