MHD Equilibrium Equation in Symmetric Systems

Details MHD Equilibrium Equation in Symmetric Systems MHD Equilibrium Equation in Symmetric Systems

2011-03-25

arxiv.org/abs/1103.5063v1

Physics

Plasma Physics

5 pages, 1 figure

Scientific paper

In MHD symmetric systems the equilibrium physical quantities are dependent on two variables only. In this cases it is possible to find a magnetic surface function that has the same symmetry. Under the assumption that the metric determinant is also independent of a third, ignorable coordinate, a general MHD equilibrium equation in curvilinear coordinates is deduced. This equation is specially useful when non-orthogonal generalized coordinates are used.

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