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Title: Plasmoid solutions of the Hahm–Kulsrud–Taylor equilibrium model

The Hahm–Kulsrud (HK) [T. S. Hahm and R. M. Kulsrud, Phys. Fluids 28, 2412 (1985)] solutions for a magnetically sheared plasma slab driven by a resonant periodic boundary perturbation illustrate fully shielded (current sheet) and fully reconnected (magnetic island) responses. On the global scale, reconnection involves solving a magnetohydrodynamic (MHD) equilibrium problem. In systems with a continuous symmetry, such MHD equilibria are typically found by solving the Grad–Shafranov equation, and in slab geometry the elliptic operator in this equation is the 2-D Laplacian. Thus, assuming appropriate pressure and poloidal current profiles, a conformal mapping method can be used to transform one solution into another with different boundary conditions, giving a continuous sequence of solutions in the form of partially reconnected magnetic islands (plasmoids) separated by Syrovatsky current sheets. The two HK solutions appear as special cases.
Authors:
 [1] ; ;  [2] ;  [3]
  1. Plasma Research Laboratory, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200, Australia and Graduate School of Frontier Sciences, University of Tokyo, Kashiwa, Chiba 277-8561 (Japan)
  2. Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543 (United States)
  3. The Australian National University, Canberra ACT 0200 (Australia)
Publication Date:
OSTI Identifier:
22227857
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 8; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOUNDARY CONDITIONS; CONFORMAL MAPPING; DISTURBANCES; GRAD-SHAFRANOV EQUATION; LAPLACE EQUATION; LAPLACIAN; MAGNETIC ISLANDS; MAGNETIC RECONNECTION; MAGNETOHYDRODYNAMICS; MATHEMATICAL SOLUTIONS; MHD EQUILIBRIUM; PLASMA; PLASMA PRESSURE; PLASMA SHEET; PLASMA SIMULATION; PLASMOIDS; SHEAR; TEARING INSTABILITY