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The Relationship Between ∫dl/B and dV/dΨtor

  • William Denis D’haeseleer
  • William Nicholas Guy Hitchon
  • James D. Callen
  • J. Leon Shohet
Part of the Springer Series in Computational Physics book series (SCIENTCOMP)

Abstract

In many elementary discussions it is “proved” in an intuitive manner that the specific volume \( \dot V(\Psi _{tor} ) \equiv dV/d\Psi _{tor} \) equals the closed line integral ∮dl/B. That this is true only in an approximate sense, and that a distinction is to be made between rational and irrational surfaces is discussed in the authoritative review paper by Solov’ev and Shafranov (1970). For completeness, we reproduce their arguments in this Chapter albeit converted to our notation.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • William Denis D’haeseleer
    • 1
    • 2
  • William Nicholas Guy Hitchon
    • 3
  • James D. Callen
    • 4
  • J. Leon Shohet
    • 3
  1. 1.School of EngineeringKatholieke Universiteit LeuvenLeuvenBelgium
  2. 2.The NET TeamMax-Planck-Institut für PlasmaphysikGarching bei MünchenFed. Rep. of Germany
  3. 3.Department of Electrical and Computer EngineeringUniversity of Wisconsin-MadisonMadisonUSA
  4. 4.Departments of Nuclear Engineering & Engineering Physics and PhysicsUniversity of Wisconsin-MadisonMadisonUSA

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