Current Density and Plasma Displacement Near Perturbed Rational Surface

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The current density in the vicinity of a rational surface of a force-free magnetic field subjected to an ideal perturbation is shown to be the sum of both a smooth and a delta-function distribution, which give comparable currents. The maximum perturbation to the smooth current density is comparable to a typical equilibrium current density and the width of the layer in which the current flows is shown to be proportional to the perturbation amplitude. In the standard linearized theory, the plasma displacement has an unphysical jump across the rational surface, but the full theory gives a continuous displacement.

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Boozer, A. H. & Pomphrey, N. October 10, 2010.

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The current density in the vicinity of a rational surface of a force-free magnetic field subjected to an ideal perturbation is shown to be the sum of both a smooth and a delta-function distribution, which give comparable currents. The maximum perturbation to the smooth current density is comparable to a typical equilibrium current density and the width of the layer in which the current flows is shown to be proportional to the perturbation amplitude. In the standard linearized theory, the plasma displacement has an unphysical jump across the rational surface, but the full theory gives a continuous displacement.

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202Kb

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  • Physics of Plasmas (October 2010)

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  • October 10, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Dec. 28, 2017, 10:14 p.m.

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Boozer, A. H. & Pomphrey, N. Current Density and Plasma Displacement Near Perturbed Rational Surface, report, October 10, 2010; Princeton, New Jersey. (https://digital.library.unt.edu/ark:/67531/metadc1014318/: accessed April 23, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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