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Magnetic well: Difference between revisions
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The plasma will therefore prefer to move to a location where the volume to flux ratio (the ''specific volume'') is maximum. | The plasma will therefore prefer to move to a location where the volume to flux ratio (the ''specific volume'') is maximum. | ||
Assuming the existence of nested (toroidal) flux surfaces, labelled by | Assuming the existence of nested (toroidal) flux surfaces, labelled by <math>\psi</math>, and with volume <math>V(\psi)</math> and toroidal flux <math>\Phi(\psi)</math>, this specific volume is | ||
:<math>U = \frac{dV}{d\Phi}</math> | :<math>U = \frac{dV}{d\Phi}</math> | ||
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where ''dl'' is an [[:Wikipedia:Arc_(geometry)|arc segment]] along the field line. | where ''dl'' is an [[:Wikipedia:Arc_(geometry)|arc segment]] along the field line. | ||
The magnetic well is related to the average [[Magnetic curvature|magnetic field line curvature κ]]. | The magnetic well is related to the average [[Magnetic curvature|magnetic field line curvature κ]]. | ||
<ref>M. Wakatani, ''Stellarator and Heliotron devices'', Oxford University Press, New York and Oxford (1998) ISBN 0-19-507831-4</ref> | <ref>M. Wakatani, ''Stellarator and Heliotron devices'', Oxford University Press, New York and Oxford (1998) {{ISBN|0-19-507831-4}}</ref> | ||
The relative magnetic well depth is defined as: | The relative magnetic well depth is defined as: | ||