Scaling law: Difference between revisions
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Scaling laws are an engineering tool to predict the performance of a system as a function of some significant parameters. | Scaling laws are an engineering tool to predict the performance of a system as a function of some significant parameters. | ||
<ref>O.J.W.F. Kardaun, ''Classical methods of statistics: with applications in fusion-oriented plasma physics'', Springer Science & Business (2005) ISBN 3540211152</ref> | <ref>O.J.W.F. Kardaun, ''Classical methods of statistics: with applications in fusion-oriented plasma physics'', Springer Science & Business (2005) ISBN 3540211152</ref> | ||
Their extended use in magnetic confinement physics reflects the fact that detailed transport calculations or predictions on first principles are difficult in this field. In the latter context, they are mainly used to | |||
* predict the performance of new (larger) devices, such as [[ITER]] | * predict the performance of new (larger) devices, such as [[ITER]] | ||
* summarize large amounts of experimental data | * summarize large amounts of experimental data | ||
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Assuming quasi-neutrality, the relevant scaling laws can be cast into dimensionless forms that involve only three plasma parameters (apart from geometrical factors): | Assuming quasi-neutrality, the relevant scaling laws can be cast into dimensionless forms that involve only three plasma parameters (apart from geometrical factors): | ||
<ref name="ITER"/> | <ref name="ITER"/> | ||
<ref>B.B. Kadomtsev, Sov. J. Plasma Phys. '''1''' (1975)295</ref> | <ref>B.B. Kadomtsev, Sov. J. Plasma Phys. '''1''' (1975) 295</ref> | ||
:<math>\rho* = \frac{\rho_i}{a}</math> | :<math>\rho* = \frac{\rho_i}{a}</math> | ||