On the Possible Equilibria in a Configuration of the Type of a Diffuse Pinch

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Consider an axisymmetric equilibrium in a configuration where the current density j has only r and z components, and the magnetic field, accordingly, has only the {var_phi} component. Such configurations are of interest for magnetized target fusion (MTF) [1]: they include a simple diffuse Z pinch configuration and a MAGO configuration. Both can be, in principle, imploded by conducting shells to create a plasma with fusion-grade parameters. To be of interest for fusion, these configurations have to provide MHD equilibria acceptable from the viewpoint of confinement requirements. In the present note the authors analyze possible equilibria and show that only ... continued below

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5 p.

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Siemon, R.E. & Ryutov, D. June 9, 1999.

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Description

Consider an axisymmetric equilibrium in a configuration where the current density j has only r and z components, and the magnetic field, accordingly, has only the {var_phi} component. Such configurations are of interest for magnetized target fusion (MTF) [1]: they include a simple diffuse Z pinch configuration and a MAGO configuration. Both can be, in principle, imploded by conducting shells to create a plasma with fusion-grade parameters. To be of interest for fusion, these configurations have to provide MHD equilibria acceptable from the viewpoint of confinement requirements. In the present note the authors analyze possible equilibria and show that only equilibria where the plasma pressure is a function of a radial coordinate (no axial dependence) are possible. A framework for such an analysis is outlined, e.g., in Shafranov's survey in ``Reviews of Plasma Physics''. In an arbitrary geometry the analysis may be quite cumbersome. What the authors show here is, that in the geometry of the type of an axisymmetric Z pinch equilibrium analysis is reduced to a set of simple algebraic relations, and allows one to come to very robust and reliable conclusions with regard to the possible equilibria.

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5 p.

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INIS; OSTI as DE00759126

Medium: P; Size: 5 pages

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  • Other Information: PBD: 9 Jun 1999

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  • Report No.: LA-UR-99-804
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/759126 | External Link
  • Office of Scientific & Technical Information Report Number: 759126
  • Archival Resource Key: ark:/67531/metadc709140

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  • June 9, 1999

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  • Sept. 12, 2015, 6:31 a.m.

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  • April 11, 2017, 12:27 p.m.

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Siemon, R.E. & Ryutov, D. On the Possible Equilibria in a Configuration of the Type of a Diffuse Pinch, report, June 9, 1999; New Mexico. (digital.library.unt.edu/ark:/67531/metadc709140/: accessed July 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.