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Toroidal momentum transport in a tokamak caused by symmetry breaking parallel derivatives
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10.1063/1.4799750
/content/aip/journal/pop/20/4/10.1063/1.4799750
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/4/10.1063/1.4799750
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

[solid (blue) line with symbol “+”], [dashed (blue) line with symbol ‘x’], [solid (red) line with symbol “o”], and Im[w] [dashed (red) line with symbol “*”]. The top figure gives and wA , while the bottom figure gives and wS . All functions shown in the lower figure are zero in the absence of finite terms.

Image of FIG. 2.
FIG. 2.

calculated directly from the eigenfunction [solid (blue) line with symbol “+”], calculated directly from the eigenfunction [dashed (blue) line with symbol “x”], calculated through numerical differentiation of [solid (green) line with symbol “ ”], and calculated through numerical differentiation of [dashed (green) line with symbol “ ”].

Image of FIG. 3.
FIG. 3.

The momentum flux expressed in the equilibrium as a function of . The letters on the right relate to the symmetry breaking mechanism identified in Eqs. (37)–(43) A: red line with symbol “+,” B1: light blue line with symbol “*,” B2: dark green with symbol “ ,” D: black line with symbol “ ,” E: magenta line with symbol “ .” Additionally, the sum of all individual contributions is given by the (green) curve with the symbol “o,” and the momentum flux calculated including all finite terms is given by the (blue) curve with symbol “x.” The axis contains typical values of three machines: ITER, 52 AUG, 53 and TCV. 54

Image of FIG. 4.
FIG. 4.

Equilibrium value of as a function of different plasma parameters. From left to right: magnetic shear ( ), safety factor (q), poloidal wave vector ( ), density gradient length , and temperature gradient length . The three curves that are shown in each of the graphs correspond to different values of the inverse aspect ratio: solid (red) line with symbol “x,” dashed-dotted (green) line with symbol “+,” and dashed (blue) line with symbol “o.”

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/content/aip/journal/pop/20/4/10.1063/1.4799750
2013-04-10
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Toroidal momentum transport in a tokamak caused by symmetry breaking parallel derivatives
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/4/10.1063/1.4799750
10.1063/1.4799750
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