Flux surface: Difference between revisions

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everywhere on ''S''.  
everywhere on ''S''.  
In other words, the magnetic field does not ''cross'' the surface S anywhere, and the magnetic flux traversing ''S'' is zero.
In other words, the magnetic field does not ''cross'' the surface ''S'' anywhere, i.e., the magnetic flux traversing ''S'' is zero.
It is then possible to define a scalar ''flux function'' (''f'') such that its value is constant on the surface ''S'', and
It is then possible to define a scalar ''flux function'' (''f'') such that its value is constant on the surface ''S'', and


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[[File:Flux_definition.png|250px|thumb|right|Diagram showing the surfaces defining the poloidal (red) and toroidal (blue) flux]]
[[File:Flux_definition.png|250px|thumb|right|Diagram showing the surfaces defining the poloidal (red) and toroidal (blue) flux]]
When ''B'' is a magnetic field with toroidal nested flux surfaces, two magnetic fluxes can be defined from two corresponding surfaces.
When ''B'' is a magnetic field with toroidal nested flux surfaces, two magnetic fluxes can be defined from two corresponding surfaces.
<ref>R.D. Hazeltine, J.D. Meiss, ''Plasma Confinement'', Courier Dover Publications (2003) ISBN 0486432424</ref>
<ref>R.D. Hazeltine, J.D. Meiss, ''Plasma Confinement'', Courier Dover Publications (2003) {{ISBN|0486432424}}</ref>
The poloidal flux is defined by
The poloidal flux is defined by