Weakly quasisymmetric near-axis solutions to all orders

E. Rodríguez, W. Sengupta, A. Bhattacharjee

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish (US)
Article number012507
JournalPhysics of Plasmas
Issue number1
StatePublished - Jan 1 2022

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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