Anomalous transport: Difference between revisions

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The difference between actual transport and the Neoclassical expectation is called "[[:Wiktionary:anomaly|anomalous]]" transport.
The difference between actual transport and the Neoclassical expectation is called "[[:Wiktionary:anomaly|anomalous]]" transport.
It is generally assumed that the anomalous component of transport is generated by turbulence driven by micro-instabilities.
It is generally assumed that the anomalous component of transport is generated by turbulence driven by micro-instabilities.
<ref>J.P. Freidberg, ''Plasma physics and fusion energy'', Cambridge University Press (2007) ISBN 0521851076</ref>
<ref name="Freidberg">J.P. Freidberg, ''Plasma physics and fusion energy'', Cambridge University Press (2007) ISBN 0521851076</ref>


== How important is turbulence? ==
== How important is turbulence? ==
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An important argument suggesting that anomalous transport is important to the degree that it often dominates the total transport is the [[Scaling law|scaling]] of transport with heating power and machine size. The phenomenon of [[Scaling law|power degradation]], universally observed in all devices, is an indication that standard transport theories are inadequate to explain all transport, since these would not predict power degradation.
An important argument suggesting that anomalous transport is important to the degree that it often dominates the total transport is the [[Scaling law|scaling]] of transport with heating power and machine size. The phenomenon of [[Scaling law|power degradation]], universally observed in all devices, is an indication that standard transport theories are inadequate to explain all transport, since these would not predict power degradation.
Following Freidberg,
Following Freidberg,
<ref>J.P. Freidberg, ''Plasma physics and fusion energy'', Cambridge University Press (2007) ISBN 0521851076</ref>
<ref name="Freidberg" />
the cited [[Scaling law|scaling laws]] can be rewritten in terms of the temperature dependence (eliminating the heating power dependence).  
the cited [[Scaling law|scaling laws]] can be rewritten in terms of the temperature dependence (eliminating the heating power dependence).  
Then, classical and neoclassical estimates would predict that the confinement increases with ''T'' (namely: ''&tau;<sub>E</sub>'' &prop; ''T<sup>0.5</sup>'', associated with collisionality).
Then, classical and neoclassical estimates would predict that the confinement increases with ''T'' (namely: ''&tau;<sub>E</sub>'' &prop; ''T<sup>0.5</sup>'', associated with collisionality).