Stellarator symmetry: Difference between revisions

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Stellarator symmetry is a property of typical [[Stellarator|stellarator]] magnetic configurations.
Stellarator symmetry is a property of typical [[stellarator]] magnetic configurations.
It is important 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>R.L. Dewar, S.R. Hudson, ''Stellarator symmetry'', [[doi:10.1016/S0167-2789(97)00216-9|Physica D, '''112''' (1998) 275]]</ref>
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: