Formation of current singularity in a topologically constrained plasma
Recently a variational integrator for ideal magnetohydrodynamics in Lagrangian labeling has been developed. Its built-in frozen-in equation makes it optimal for studying current sheet formation. We use this scheme to study the Hahm-Kulsrud-Taylor problem, which considers the response of a 2D plasma magnetized by a sheared field under sinusoidal boundary forcing. We obtain an equilibrium solution that preserves the magnetic topology of the initial field exactly, with a fluid mapping that is non-differentiable. Unlike previous studies that examine the current density output, we identify a singular current sheet from the fluid mapping. These results are benchmarked with a constrained Grad-Shafranov solver. The same signature of current singularity can be found in other cases with more complex magnetic topologies.
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China.
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Journal ID: ISSN 2470-0045; PLEEE8
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- Resource Type:
- Journal Article
- Resource Relation:
- Journal Name: Physical Review E; Journal Volume: 93; Journal Issue: 2
- American Physical Society (APS)
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- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
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- United States
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY pressure-induced islands; tied magnetic-fields; current sheets; coalescence instability; lagrangian-relaxation; equilibria
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