Characterization of admissible quasisymmetries

Burby, J. W.; Kallinikos, N.; MacKay, R. S.; Perrella, D.; Pfefferlé, D.

doi:10.1017/S0022377824001478

Characterization of admissible quasisymmetries

Journal Article · Mon Feb 10 00:00:00 EST 2025 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/S0022377824001478· OSTI ID:2513530

; Kallinikos, N.; ; Perrella, D.;

We solve ‘half’ the problem of finding three-dimensional quasisymmetric magnetic fields that do not necessarily satisfy magnetohydrostatic force balance. This involves determining which hidden symmetries are admissible as quasisymmetries, and then showing explicitly how to construct quasisymmetric magnetic fields given an admissible symmetry. The admissibility conditions take the form of a system of overdetermined nonlinear partial differential equations involving second derivatives of the symmetry's infinitesimal generator.

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Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: FG05-80ET53088

OSTI ID:: 2513530

Journal Information:: Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 1 Vol. 91; ISSN 0022-3778

Publisher:: Cambridge University Press (CUP)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

References (21)

Introduction to Smooth Manifolds Lee, John M. Graduate Texts in Mathematics https://doi.org/10.1007/978-1-4419-9982-5	book	August 2012
Exterior Differential Systems Bryant, Robert L.; Chern, S. S.; Gardner, Robert B. Mathematical Sciences Research Institute Publications https://doi.org/10.1007/978-1-4613-9714-4	book	January 1991
Flexibility and Rigidity in Steady Fluid Motion Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel Communications in Mathematical Physics, Vol. 385, Issue 1 https://doi.org/10.1007/s00220-021-04048-4	journal	March 2021
Variational principles of guiding centre motion Littlejohn, Robert G. Journal of Plasma Physics, Vol. 29, Issue 1 https://doi.org/10.1017/S002237780000060X	journal	February 1983
Constructing stellarators with quasisymmetry to high order Landreman, Matt; Sengupta, Wrick Journal of Plasma Physics, Vol. 85, Issue 6 https://doi.org/10.1017/S0022377819000783	journal	November 2019
On quasisymmetric plasma equilibria sustained by small force Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel Journal of Plasma Physics, Vol. 87, Issue 1 https://doi.org/10.1017/S0022377820001610	journal	February 2021
Measures of quasisymmetry for stellarators Rodríguez, E.; Paul, E. J.; Bhattacharjee, A. Journal of Plasma Physics, Vol. 88, Issue 1 https://doi.org/10.1017/S0022377821001331	journal	January 2022
Existence of weakly quasisymmetric magnetic fields without rotational transform in asymmetric toroidal domains Sato, Naoki Scientific Reports, Vol. 12, Issue 1 https://doi.org/10.1038/s41598-022-15594-9	journal	July 2022
Toroidal Containment of a Plasma Grad, Harold Physics of Fluids, Vol. 10, Issue 1 https://doi.org/10.1063/1.1761965	journal	January 1967
Toroidal precession as a geometric phase Burby, J. W.; Qin, H. Physics of Plasmas, Vol. 20, Issue 1 https://doi.org/10.1063/1.4789377	journal	January 2013
Some mathematics for quasi-symmetry Burby, J. W.; Kallinikos, N.; MacKay, R. S. Journal of Mathematical Physics, Vol. 61, Issue 9 https://doi.org/10.1063/1.5142487	journal	September 2020
Hamiltonian perturbation theory in noncanonical coordinates Littlejohn, Robert G. Journal of Mathematical Physics, Vol. 23, Issue 5 https://doi.org/10.1063/1.525429	journal	May 1982
Magnetic field strength of toroidal plasma equilibria Garren, D. A.; Boozer, A. H. Physics of Fluids B: Plasma Physics, Vol. 3, Issue 10 https://doi.org/10.1063/1.859915	journal	October 1991
Existence of quasihelically symmetric stellarators Garren, D. A.; Boozer, A. H. Physics of Fluids B: Plasma Physics, Vol. 3, Issue 10 https://doi.org/10.1063/1.859916	journal	October 1991
Hamiltonian formulation of guiding center motion Littlejohn, Robert G. Physics of Fluids, Vol. 24, Issue 9 https://doi.org/10.1063/1.863594	journal	January 1981
Transport and isomorphic equilibria Boozer, Allen H. Physics of Fluids, Vol. 26, Issue 2 https://doi.org/10.1063/1.864166	journal	January 1983
Necessary and sufficient conditions for quasisymmetry Rodríguez, E.; Helander, P.; Bhattacharjee, A. Physics of Plasmas, Vol. 27, Issue 6 https://doi.org/10.1063/5.0008551	journal	June 2020
Precise stellarator quasi-symmetry can be achieved with electromagnetic coils Wechsung, Florian; Landreman, Matt; Giuliani, Andrew Proceedings of the National Academy of Sciences, Vol. 119, Issue 13 https://doi.org/10.1073/pnas.2202084119	journal	March 2022
Approximate symmetries of guiding-centre motion Burby, J. W.; Kallinikos, N.; MacKay, R. S. Journal of Physics A: Mathematical and Theoretical, Vol. 54, Issue 12 https://doi.org/10.1088/1751-8121/abe58a	journal	March 2021
Fluids and Plasmas: Geometry and Dynamics Marsden, Jerrold E. https://doi.org/10.1090/conm/028/751980	book	January 1984
Magnetic Fields with Precise Quasisymmetry for Plasma Confinement Landreman, Matt; Paul, Elizabeth Physical Review Letters, Vol. 128, Issue 3 https://doi.org/10.1103/PhysRevLett.128.035001	journal	January 2022

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