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Scaling law: Difference between revisions
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=== Size scaling === | === Size scaling === | ||
It is convenient to express the diffusivities in dimensionless form: | |||
<ref name="ITER" /> | |||
:<math>D = c_s \rho_s (\rho^*)^\alpha F(\nu^*,\beta,q, ...)\,</math> | :<math>D = c_s \rho_s (\rho^*)^\alpha F(\nu^*,\beta,q, ...)\,</math> | ||
When α = 0, the scaling is said to be of the Bohm type, and when α = 1, of the gyro-Bohm type. | When α = 0, the scaling is said to be of the Bohm type, and when α = 1, of the gyro-Bohm type. | ||
The L-mode scaling is of the Bohm type, while the ELMy H-mode scaling is of the gyro-Bohm type. | The L-mode scaling is of the Bohm type, while the ELMy H-mode scaling is of the gyro-Bohm type. | ||
Gyro-Bohm scaling is what one would expect for diffusive transport based on a diffusive scale length proportional to ρ<sub>i</sub> (the ion gyroradius). Bohm scaling, however, suggests that transport may not be diffusive and may not characterized by a typical scale length. | Gyro-Bohm scaling is what one would expect for diffusive transport based on a diffusive scale length proportional to ρ<sub>i</sub> (the ion gyroradius). Bohm scaling, however, suggests that transport may [[Non-diffusive transport|not be diffusive]] and may not characterized by a typical scale length. | ||
(''More detail needed'') | (''More detail needed'') | ||
== References == | == References == | ||
<references /> | <references /> | ||