Linear stability of an accelerated wire array

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The linear stability of an array of a large number of thin wires is considered. The wires form a cylindrical surface which is accelerated towards the axis under the action of a current excited in the array by an external source. General equations governing stability of this system are derived and a complete classification of all the modes present in such a system is presented. In agreement with an earlier analysis by Felber and Rostoker, it is shown that there exist two types of modes: medial modes, in which the wires experience deformation in the rz plane, and lateral modes, ... continued below

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Hammer, J H & Ryutov, D D October 15, 1998.

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The linear stability of an array of a large number of thin wires is considered. The wires form a cylindrical surface which is accelerated towards the axis under the action of a current excited in the array by an external source. General equations governing stability of this system are derived and a complete classification of all the modes present in such a system is presented. In agreement with an earlier analysis by Felber and Rostoker, it is shown that there exist two types of modes: medial modes, in which the wires experience deformation in the rz plane, and lateral modes, in which only a purely azimuthal deformation is present. For a given axial wave number k, the maximum growth rate for medial perturbations corresponds to a mode in which all the wires move �in phase� (an analog of an axisymmetric mode for a continuous cylindrical shell), whereas for the lateral perturbations the maximum growth rate corresponds to the opposite displacements of the neighboring wires. Numerical analysis of a dispersion relation for a broad range of modes is presented: Some limiting cases are discussed. In particular, it is shown that a traditional k�� scaling holds until surprisingly high wave numbers, even exceeding the inverse inter- wire distance. In the limit of long-wavelength perturbations, a model of a continuous shell becomes valid; the presence of the wires manifests itself in this model by a strong anisotropy of electrical conductivity, high along the wires and vanishing across the wires. The resulting modes differ considerably from the modes of a thin perfectly conducting shell. In particular, a new mode of �zonal flows� is identified.

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  • American Physical Society 40th Annual Meeting of the Division of Plasma Physics, New Orleans, LA, November 16-20, 1998

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  • Other: DE00005776
  • Report No.: UCRL-JC-132255
  • Grant Number: W-7405-Eng-48
  • Office of Scientific & Technical Information Report Number: 5776
  • Archival Resource Key: ark:/67531/metadc697099

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  • October 15, 1998

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  • Aug. 14, 2015, 8:43 a.m.

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  • May 6, 2016, 11:27 p.m.

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Hammer, J H & Ryutov, D D. Linear stability of an accelerated wire array, article, October 15, 1998; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc697099/: accessed November 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.