TJ-II:Impurity density and potential asymmetries: Difference between revisions

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(Created page with "== Experimental campaign == 2017 Spring == Proposal title == '''Impurity density and potential asymmetries''' == Name and affiliation of proponent == Jose M Garc\'ia Rega\~n...")
 
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Neoclassical theory predicts a non-constant portion of the electrostatic potential over the flux surfaces
Neoclassical theory predicts a non-constant portion of the electrostatic potential over the flux surfaces
<ref>H. Mynick, Phys. Fluids 27 (8) (1984)</ref>, usually denoted by $\Phi_1=\Phi_1(\theta,\phi)$,  
<ref>H. Mynick ''Calculation of the poloidal ambipolar field in a stellarator
with $\theta$ and $\phi$ the poloidal and toroidal angular coordinates.  
and its effect on transport'' Phys. Fluids '''27'''(8) 2086 (1984)</ref>, usually denoted by $\Phi_1=\Phi_1(\theta,\phi)$,  
When this is taken into account the equilibrium density of the different species $a$ present in the plasma  
with <math>\theta</math> and </math>\phi</math> the poloidal and toroidal angular coordinates.  
varies according to their adiabatic response and can be written as: $n_{a0}=\left<n\right>\exp\left(-Z_{a}e\Phi_1/T_{a}\right)$, with  
When this is taken into account the equilibrium density of the different species ''a'' present in the plasma  
$\left<...\right>$ the flux-surface-average. In TJ-II plasmas experiments and simulations  
varies according to their adiabatic response and can be written as: </math>n_{a0}=\left<n\right>\exp\left(-Z_{a}e\Phi_1/T_{a}\right)</math>, with  
have shown that $e\Phi_1/T_{a}$ can take values from $O(0.01)$ to $O(0.1)$. Variations are predicted to be  
</math>\left<...\right></math> the flux-surface-average. In TJ-II plasmas experiments and simulations  
<ref>M A Pedrosa ''et al.'', ''Electrostatic potential variations along flux surfaces in stellarators'' Nucl. Fusion '''55''' 052001 (2015) </ref>
<ref>B Liu ''et al.'' ''Direct experimental evidence of potential asymmetry in magnetic flux surfaces in stellarators'' to be submitted (2017) </ref>
<ref>J M Garcı́a-Regaña ''et al.'' ''Electrostatic potential variation on the flux surface and its impact on impurity transport'' Nuclear Fusion submitted (2017)</ref>
have shown that </math>e\Phi_1/T_{a}</math> can take values from $O(0.01)$ to $O(0.1)$. Variations are predicted to be  
larger at the outer radii than at the inner core, and stronger in ECRH plasmas than in NBI plasmas. Under
larger at the outer radii than at the inner core, and stronger in ECRH plasmas than in NBI plasmas. Under
conditions with large $\Phi_1$ the impurities of moderate to high $Z$ should experience strong variations of their densities over the flux surfaces,  
conditions with large </math>\Phi_1</math> the impurities of moderate to high </math>Z</math> should experience strong variations of their densities over the flux surfaces,  
increasing with $Z$.
increasing with </math>Z</math>.
These, in turn, should result in an anisotropic radiation over each flux surface and consequently
These, in turn, should result in an anisotropic radiation over each flux surface and consequently
a radially asymmetric radiation pattern should follow.\\
a radially asymmetric radiation pattern should follow.


== If applicable, International or National funding project or entity ==
== If applicable, International or National funding project or entity ==
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