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Isothermal tokamak

Phys. Plasmas 13, 122508 (2006); doi:10.1063/1.2403090

Published 19 December 2006

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Peter J. Catto
Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

R. D. Hazeltine
Institute for Fusion Studies and Department of Physics, The University of Texas at Austin, Austin, Texas 78712
An isothermal tokamak, Isomak, is investigated to demonstrate that nearly exact, rigidly toroidally rotating Maxwellian solutions exist for both the ions and the electrons. For the ions this Maxwellian solution is valid in the limit in which unlike collisions of the ions with the electrons are weak and the induced electric field unimportant, while for Maxwellian electrons unlike collisions can be retained as long as the friction with the ions is small (electron-ion collision frequency smaller than the electron gyrofrequency). In such cases magnetically confined, exponentially decaying density profiles are allowed, minimizing contact with the wall or limiter. Indeed, the near Maxwellian behavior assures that radial particle and heat fluxes are small. In fact, for specially tailored ion and electron current drives it is possible to maintain the Maxwellians as exact steady state solutions of the full ion and electron kinetic equations. Three reasons to consider an Isomak are its usefulness as an ideal tokamak reference, its possible relevance to lithium-walled tokamaks, and its value in checking codes in the isothermal limit. ©2006 American Institute of Physics
History: Received 11 October 2006; accepted 8 November 2006; published 19 December 2006
Permalink: http://link.aip.org/link/?PHPAEN/13/122508/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.55.Fa
    Tokamaks
  • 52.55.Wq
    Current drive; helicity injection in magnetic plasma confinement
  • 52.20.Fs
    Electron collisions in plasma
  • 52.20.Hv
    Atomic, molecular, ion, and heavy-particle collisions in plasma
  • 52.40.Hf
    Plasma–material interactions; boundary layer effects
  • 52.25.Fi
    Plasma transport properties
  • YEAR: 2006

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PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
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