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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© 1991 Springer-Verlag Berlin Heidelberg
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D’haeseleer, W.D., Hitchon, W.N.G., Callen, J.D., Shohet, J.L. (1991). The Relationship Between ∫dl/B and dV/dΨtor. In: Flux Coordinates and Magnetic Field Structure. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75595-8_12
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DOI: https://doi.org/10.1007/978-3-642-75595-8_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-75597-2
Online ISBN: 978-3-642-75595-8
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