Flux surface: Difference between revisions

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This fact lies at the basis of the design of magnetic confinement devices.
This fact lies at the basis of the design of magnetic confinement devices.


If a single vector field ''B'' has several such toroidal flux surfaces, they must necessarily be ''nested'' (since they cannot intersect) or be disjoint. Ignoring the latter possibility, it then makes sense to use the function ''f'' to label the flux surfaces, so ''f'' may be used as an effective "radial" coordinate. Each toroidal surface ''f'' encloses a volume ''V(f)''.
The function ''f'' defines a set of ''nested'' surfaces, so it makes sense to use this function to label the flux surfaces, i.e., ''f'' may be used as an effective "radial" coordinate. Each toroidal surface ''f'' encloses a volume ''V(f)''.
The surface corresponding to an infinitesimal volume ''V'' is essentially a line that corresponds to  
The surface corresponding to an infinitesimal volume ''V'' is essentially a line that corresponds to  
the ''toroidal axis'' (called ''magnetic axis'' when ''B'' is a magnetic field).
the ''toroidal axis'' (called ''magnetic axis'' when ''B'' is a magnetic field).

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