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Stellarator symmetry is a property of typical [[ | Stellarator symmetry is a property of typical [[stellarator]] magnetic configurations. | ||
It is important to be aware that it is an ''imposed'' (artificial) symmetry, | It is important to be aware that it is an ''imposed'' (artificial) symmetry, | ||
reflecting the symmetry of the design of the external magnetic field coils generating the configuration, and | reflecting the symmetry of the design of the external magnetic field coils generating the configuration, and | ||
not an ''inherent'' (natural) symmetry of stellarator plasmas. | not an ''inherent'' (natural) symmetry of stellarator plasmas. | ||
<ref>[http://dx.doi.org/10.1016/S0167-2789(97)00216-9 R.L. Dewar, S.R. Hudson, ''Stellarator symmetry'', Physica D, '''112''' (1998) 275]</ref> | <ref>[http://dx.doi.org/10.1016/S0167-2789(97)00216-9 R.L. Dewar, S.R. Hudson, ''Stellarator symmetry'', Physica D, '''112''' (1998) 275]</ref> | ||
Therefore, it has the same status as [[ | Therefore, it has the same status as [[axisymmetry]] in [[tokamak]]s. | ||
In a [[Toroidal coordinates|cylindrical coordinate system]], it is expressed as follows for a scalar field: | In a [[Toroidal coordinates|cylindrical coordinate system]], it is expressed as follows for a scalar field: |