Resistive Magnetohydrodynamic Equilibria in a Torus

Details Resistive Magnetohydrodynamic Equilibria in a Torus Resistive Magnetohydrodynamic Equilibria in a Torus

1996-10-07

arxiv.org/abs/physics/9610005v1

Physics

Plasma Physics

17 pages, 4 figures

Scientific paper

10.1063/1.872195

It was recently demonstrated that static, resistive, magnetohydrodynamic equilibria, in the presence of spatially-uniform electrical conductivity, do not exist in a torus under a standard set of assumed symmetries and boundary conditions. The difficulty, which goes away in the ``periodic straight cylinder approximation,'' is associated with the necessarily non-vanishing character of the curl of the Lorentz force, j x B. Here, we ask if there exists a spatial profile of electrical conductivity that permits the existence of zero-flow, axisymmetric r esistive equilibria in a torus, and answer the question in the affirmative. However, the physical properties of the conductivity profile are unusual (the conductivity cannot be constant on a magnetic surface, for example) and whether such equilibria are to be considered physically possible remains an open question.

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