Scaling law: Difference between revisions

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=== Size scaling ===
=== Size scaling ===


Expressing the diffusivities in dimensionless form<ref name="ITER" />
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 &alpha; = 0, the scaling is said to be of the Bohm type, and when &alpha; = 1, of the gyro-Bohm type.
When &alpha; = 0, the scaling is said to be of the Bohm type, and when &alpha; = 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 &rho;<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 &rho;<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 />