Nonlinear evolution of current driven instabilities in a reversed field pinch configuration

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Plasmas can be confined in a toroidal configuration using magnetic fields generated by external coils and internal plasma currents. In a toroidal configuration, the magnetic field line equations constitute a Hamiltonian system with one and one-half degrees of freedom. This fact establishes a simple correspondence between a toroidal magnetic field and a nonlinear Hamiltonian system. This correspondence equates magnetic field lines in real space to orbits of the Hamiltonian system in phase space, and the magnetic field line arc length to time. For the plasma to be well confined the magnetic field lines should form nested flux surfaces, corresponding to ... continued below

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Pages: 4

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Carreras, B.A.; Holmes, J.A. & Diamond, P.H. January 1, 1986.

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Description

Plasmas can be confined in a toroidal configuration using magnetic fields generated by external coils and internal plasma currents. In a toroidal configuration, the magnetic field line equations constitute a Hamiltonian system with one and one-half degrees of freedom. This fact establishes a simple correspondence between a toroidal magnetic field and a nonlinear Hamiltonian system. This correspondence equates magnetic field lines in real space to orbits of the Hamiltonian system in phase space, and the magnetic field line arc length to time. For the plasma to be well confined the magnetic field lines should form nested flux surfaces, corresponding to constant energy surfaces for the Hamiltonian system. For a magnetic system invariant under a uniparametric group of transformations, such as rotations around the axis of the torus, nested flux surfaces exist. That is, the Hamiltonian is integrable. However, in a more general case without a symmetry, the existence of flux surfaces is not assured. In practice, the symmetry of a magnetic configuration may be broken by the intrinsic character of the configuration (no symmetry in the coil system) or by the dynamical behavior of the system manifested in the appearance of a symmetry-breaking instability. The purpose of this paper is to investigate the latter situation.

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Pages: 4

Notes

NTIS, PC A02/MF A01.

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  • American Nuclear Society and Atomic Industrial Forum joint meeting, Washington, DC, USA, 16 Nov 1986

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  • Other: DE86013260
  • Report No.: CONF-861102-14
  • Grant Number: AC05-84OR21400
  • Office of Scientific & Technical Information Report Number: 5137958
  • Archival Resource Key: ark:/67531/metadc1052358

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • January 1, 1986

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  • Jan. 22, 2018, 7:23 a.m.

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  • Feb. 1, 2018, 6:32 p.m.

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Carreras, B.A.; Holmes, J.A. & Diamond, P.H. Nonlinear evolution of current driven instabilities in a reversed field pinch configuration, article, January 1, 1986; Tennessee. (digital.library.unt.edu/ark:/67531/metadc1052358/: accessed October 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.