Shafranov shift: Difference between revisions
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The Shafranov shift<ref>V.D. Shafranov, Atomnaya Énergiya '''13''' (1962) 521, [http://dx.doi.org/10.1007/BF01312317 Translated ''Equilibrium of a toroidal pinch in a magnetic field'', At. Energy '''13''', 6 (1963) 1149]</ref> is the outward radial displacement ''Δ(r)'' of the centre of [[Flux surface|flux surfaces]] with [[Toroidal coordinates|minor radius]] ''r'', induced by plasma pressure and the hoop force <ref>John Wesson, ''Tokamaks'', Clarendon Press (2004) ISBN 9780198509226</ref>. | The Shafranov shift<ref>V.D. Shafranov, Atomnaya Énergiya '''13''' (1962) 521, [http://dx.doi.org/10.1007/BF01312317 Translated ''Equilibrium of a toroidal pinch in a magnetic field'', At. Energy '''13''', 6 (1963) 1149]</ref> is the outward radial displacement ''Δ(r)'' of the centre of [[Flux surface|flux surfaces]] with [[Toroidal coordinates|minor radius]] ''r'', induced by plasma pressure and the hoop force <ref>John Wesson, ''Tokamaks'', Clarendon Press (2004) {{ISBN|9780198509226}}</ref>. | ||
Typically, the shift is linear <ref>J.P. Freidberg, ''Plasma physics and fusion energy'', Cambridge University Press (2007) ISBN 0521851076</ref> in [[Beta|beta (β)]], and it tends to be more important for [[Tokamak|tokamaks]] than [[Stellarator|stellarators]], | Typically, the shift is linear <ref>J.P. Freidberg, ''Plasma physics and fusion energy'', Cambridge University Press (2007) {{ISBN|0521851076}}</ref> in [[Beta|beta (β)]], and it tends to be more important for [[Tokamak|tokamaks]] than [[Stellarator|stellarators]], | ||
due to the fact that the magnetic configuration is largely or partly imposed externally in the latter case. | due to the fact that the magnetic configuration is largely or partly imposed externally in the latter case. | ||
<ref>[http://dx.doi.org/10.1088/0741-3335/48/6/006 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]</ref> | <ref>[http://dx.doi.org/10.1088/0741-3335/48/6/006 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]</ref> | ||
Latest revision as of 12:28, 26 January 2023
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]
References
- ↑ V.D. Shafranov, Atomnaya Énergiya 13 (1962) 521, Translated Equilibrium of a toroidal pinch in a magnetic field, At. Energy 13, 6 (1963) 1149
- ↑ John Wesson, Tokamaks, Clarendon Press (2004) ISBN 9780198509226
- ↑ J.P. Freidberg, Plasma physics and fusion energy, Cambridge University Press (2007) ISBN 0521851076
- ↑ 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