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Equilibrium of a toroidal pinch in a magnetic field

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Abstract

We obtain the equilibrium conditions for an axially symmetric toroidal pinch by expanding in powers of a/R (a and R are the minor and major radii of the toms) without specifying the distribution of current or longitudinal magnetic field over the cross section of the pinch. The only assumption is that the pinch exhibits cylindrical symmetry in the zeroth approximation (R = 8).

We present relations for the displacement of a pinch in a conducting chamber that are correct to second order, i.e., terms of order b2/R2 are taken into account, whereb is the chamber radius.

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Authors
  1. V. D. Shafranov
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Additional information

Translated from Atomnaya Énergiya, Vol. 13, No. 6, pp. 521–529, December, 1962.

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Shafranov, V.D. Equilibrium of a toroidal pinch in a magnetic field. At Energy 13, 1149–1158 (1963). https://doi.org/10.1007/BF01312317

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  • DOI: https://doi.org/10.1007/BF01312317

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