Eigenvalue problems for Beltrami fields arising in a three-dimensional toroidal magnetohydrodynamic equilibrium problem

@inproceedings{Hudsona2007EigenvaluePF,
  title={Eigenvalue problems for Beltrami fields arising in a three-dimensional toroidal magnetohydrodynamic equilibrium problem},
  author={S. R. Hudsona and Matthew J. Hole and Robert L. Dewar},
  year={2007}
}
A generalized energy principle for finite-pressure, toroidal magnetohydrodynamic MHD equilibria in general three-dimensional configurations is proposed. The full set of ideal-MHD constraints is applied only on a discrete set of toroidal magnetic surfaces invariant tori , which act as barriers against leakage of magnetic flux, helicity, and pressure through chaotic field-line transport. It is argued that a necessary condition for such invariant tori to exist is that they have fixed, irrational… CONTINUE READING

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