Some properties of toroidal isodynamic magnetostatic equilibria

Aly, J.-J.
September 2011
Physics of Plasmas;Sep2011, Vol. 18 Issue 9, p094501
Academic Journal
We establish some general properties of a 3D isodynamic magnetostatic equilibrium admitting a family of nested toroidal flux surfaces. In particular, we use the virial theorem to prove a simple relation between the total pressure (magnetic + thermal) and the magnetic pressure on each flux surface, and we derive some useful consequences of the latter. We also show the constancy on each rational surface of two integrals along magnetic lines. As a simple application of our results, we show the nonexistence of an equilibrium with vanishing toroidal current, and of an equilibrium with closed lines.


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