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Title: A phenomenological model on the kink mode threshold varying with the inclination of sheath boundary

In nature and many laboratory plasmas, a magnetic flux tube threaded by current or a flux rope has a footpoint at a boundary. The current driven kink mode is one of the fundamental ideal magnetohydrodynamic instabilities in plasmas. It has an instability threshold that has been found to strongly depend on boundary conditions (BCs). We provide a theoretical model to explain the transition of this threshold dependence between nonline tied and line tied boundary conditions. We evaluate model parameters using experimentally measured plasma data, explicitly verify several kink eigenfunctions, and validate the model predictions for boundary conditions BCs that span the range between NLT and LT BCs. Based on this model, one could estimate the kink threshold given knowledge of the displacement of a flux rope end, or conversely estimate flux rope end motion based on knowledge of it kink stability threshold.
Authors:
 [1] ;  [2] ; ; ;  [3] ;  [1]
  1. Department of Modern Physics, University of Science and Technology of China, Hefei 23 0026 (China)
  2. (United States)
  3. Los Alamos National Laboratory, Mail Stop E526, Los Alamos, New Mexico 87 545 (United States)
Publication Date:
OSTI Identifier:
22218406
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 11; 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; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; EIGENFUNCTIONS; EIGENVALUES; ELECTRIC CURRENTS; KINK INSTABILITY; MAGNETIC FLUX; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; PLASMA; PLASMA SHEATH; PLASMA SIMULATION