Nonlinear tearing mode interactions and mode locking in reversed field pinches

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Description

The nonlinear interaction of a set of tearing instabilities and plasma flow is studied in a cylindrical plasma. An analytic theory of mode locking is developed which includes the effects of the localized electromagnetic torques, plasma inertia and cross-field viscosity. The calculation is specialized for the case of mode locking on the Madison Symmetric Torus (MST) reversed field pinch. In MST plasmas, a set of m = 1 tearing instabilities become phase locked and form a toroidally localized, rotating magnetic disturbance. An evolution equation for the phase velocity of this magnetic disturbance is derived which accounts for two types of ... continued below

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Medium: P; Size: 41 p.

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Hegna, C.C. June 1, 1996.

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Description

The nonlinear interaction of a set of tearing instabilities and plasma flow is studied in a cylindrical plasma. An analytic theory of mode locking is developed which includes the effects of the localized electromagnetic torques, plasma inertia and cross-field viscosity. The calculation is specialized for the case of mode locking on the Madison Symmetric Torus (MST) reversed field pinch. In MST plasmas, a set of m = 1 tearing instabilities become phase locked and form a toroidally localized, rotating magnetic disturbance. An evolution equation for the phase velocity of this magnetic disturbance is derived which accounts for two types of electromagnetic torques. The external torques describe the interaction of the tearing modes with static magnetic perturbations located outside the plasma region. The interior torques describe the nonlinear interaction of three tearing modes which satisfy a wave number resonance condition. For conditions typical of MST, the internal torques dominate the external torques, which suggest the nonlinear interaction of tearing instabilities play a prominent role in the momentum degradation and mode locking.

Physical Description

Medium: P; Size: 41 p.

Notes

INIS; OSTI as DE96015001

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  • Other Information: PBD: Jun 1996

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  • Other: DE96015001
  • Report No.: UW-CPTC--96-3
  • Grant Number: FG02-85ER53212;FG02-86ER53218
  • DOI: 10.2172/369657 | External Link
  • Office of Scientific & Technical Information Report Number: 369657
  • Archival Resource Key: ark:/67531/metadc677197

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  • June 1, 1996

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • Nov. 24, 2015, 5:46 p.m.

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Hegna, C.C. Nonlinear tearing mode interactions and mode locking in reversed field pinches, report, June 1, 1996; United States. (digital.library.unt.edu/ark:/67531/metadc677197/: accessed September 26, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.