Weakly quasisymmetric near-axis solutions to all orders

Journal Article · 19 January 2022 · Physics of Plasmas

DOI: https://doi.org/10.1063/5.0076583 · OSTI ID:1889110

Rodríguez, E.  ^[1]; Sengupta, W.  ^[1]; Bhattacharjee, A.  ^[1]

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1. Princeton University, NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Here, we show that the equations satisfied by weakly quasisymmetric magnetic fields can be solved to arbitrarily high order in powers of the distance from the magnetic axis. This demonstration does not consider force balance. The existence of solutions requires an appropriate choice of parameters, most notably the toroidal current or rotational transform profiles. We do not prove that the expansion converges (it is likely divergent but asymptotic), and thus, the demonstration here should not be taken as definitive proof of the existence of global solutions. Instead, we provide a systematic construction of solutions to an arbitrarily high order.

• Research Organization: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
• Sponsoring Organization: Princeton University; Simons Foundation; USDOE
• Grant/Contract Number: AC02-09CH11466
• OSTI ID: 1889110
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 29; ISSN 1070-664X
• Publisher: American Institute of Physics (AIP)Copyright Statement
• Country of Publication: United States
• Language: English