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Stellarator symmetry: Difference between revisions
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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, | |||
reflecting the symmetry of the design of the external magnetic field coils generating the configuration, and | |||
not an ''inherent'' (natural) symmetry of stellarator plasmas. | |||
<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: | ||
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:<math>\left ( B_R, B_\phi, B_Z \right )_{(R,\phi,Z)} = \left ( -B_R, B_\phi, B_Z \right )_{(R,-\phi,-Z)}</math> | :<math>\left ( B_R, B_\phi, B_Z \right )_{(R,\phi,Z)} = \left ( -B_R, B_\phi, B_Z \right )_{(R,-\phi,-Z)}</math> | ||
With ''N''-fold rotation symmetry around the ''Z'' axis, there are ''2N'' such planes. | With ''N''-fold rotation symmetry around the ''Z'' axis, there are ''2N'' such planes. | ||
== References == | == References == | ||
<references/> | <references/> | ||