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Title: 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.
Authors:
 [1] ;  [1] ;  [2] ;  [1]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences
  2. 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.
Publication Date:
OSTI Identifier:
1256344
Report Number(s):
PPPL-5193
Journal ID: ISSN 2470-0045; PLEEE8
DOE Contract Number:
AC02-09CH11466
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review E; Journal Volume: 93; Journal Issue: 2
Publisher:
American Physical Society (APS)
Research Org:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY pressure-induced islands; tied magnetic-fields; current sheets; coalescence instability; lagrangian-relaxation; equilibria