Shafranov shift

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The Shafranov shift[1] is the outward radial displacement Δ(r) of the centre of flux surfaces with minor radius r, induced by plasma pressure and the hoop force [2]. Typically, the shift is linear [3] in beta (β), and it tends to be more important for tokamaks than stellarators, due to the fact that the magnetic configuration is largely or partly imposed externally in the latter case. [4]


  1. V.D. Shafranov, Atomnaya Énergiya 13 (1962) 521, Translated Equilibrium of a toroidal pinch in a magnetic field, At. Energy 13, 6 (1963) 1149
  2. John Wesson, Tokamaks, Clarendon Press (2004) ISBN 9780198509226
  3. J.P. Freidberg, Plasma physics and fusion energy, Cambridge University Press (2007) ISBN 0521851076
  4. T. Kobuchi, K. Ida, H. Yamada, M. Yokoyama, K.Y. Watanabe, S. Sakakibara, M. Yoshinuma and the LHD Experimental Group, Magnetic configuration dependence of the shafranov shift in the Large Helical Device, Plasma Phys. Control. Fusion 48 (2006) 789