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

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[[File:Photo_2018-07-20_09-33-36.jpg |thumb|right|500px| Figure 1.  
[[File:Photo_2018-07-20_09-32-57.jpg |thumb|right|500px| Figure 1.  
Numerical vs Experiment electron-root #45477 discharge:
Numerical vs Experiment electron-root #45477 discharge:
(a,b) Numerical impurity density asymmetry parameter <math>\alpha_{nZ}</math> and the
(a,b) Numerical impurity density asymmetry parameter <math>\alpha_{nZ}</math> and the
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modelling with experimental comparison for TJ-II'' Master Thesis (2018)</ref>]]
modelling with experimental comparison for TJ-II'' Master Thesis (2018)</ref>]]


[[File:Photo_2018-07-20_09-32-57.jpg |thumb|right|500px| Figure 2. Same as in figure 1. but considering the ion-root discharge #45477 <ref> M. Ezzat ''Advanced neoclassical impurity transport
[[File:Photo_2018-07-20_09-33-36.jpg |thumb|right|500px| Figure 2. Same as in figure 1. but considering the ion-root discharge #45469 <ref> M. Ezzat ''Advanced neoclassical impurity transport
modelling with experimental comparison for TJ-II'' Master Thesis (2018)</ref>]]
modelling with experimental comparison for TJ-II'' Master Thesis (2018)</ref>]]


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with <math>\theta</math> and <math>\phi</math> the poloidal and toroidal angular coordinates.  
with <math>\theta</math> and <math>\phi</math> the poloidal and toroidal angular coordinates.  
When this is taken into account the equilibrium density of the different species ''a'' present in the plasma  
When this is taken into account the equilibrium density of the different species ''a'' present in the plasma  
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  
varies according to their adiabatic response and can be written as: <math>n_{a0}=\langle n\rangle\exp\left(-Z_{a}e\Phi_1/T_{a}\right)</math>, with  
<math>\left<...\right></math> the flux-surface-average. In TJ-II plasmas experiments and simulations  
<math>\langle...\rangle</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>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>B Liu ''et al.'' ''Direct experimental evidence of potential asymmetry in magnetic flux surfaces in stellarators'' to be submitted (2017) </ref>
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* The time evolution of the plasma emissivity radial profile via tomographic reconstructions of the bolometry system signals.
* The time evolution of the plasma emissivity radial profile via tomographic reconstructions of the bolometry system signals.
* The time evolution of the plasma floating potential at the outer core region (<math>r/a\sim 0.9</math>).
* The time evolution of the plasma floating potential at the outer core region (<math>r/a\sim 0.9</math>).
* The time evolution of the line-averaged density <math>\left<n_e(t)\right></math> with interferometry.
* The time evolution of the line-averaged density <math>\langle n_e(t)\rangle</math> with interferometry.
* The radial profiles of electron density <math>n_{e}(r, t_0)</math> and temperature at one time instant <math>t_0</math> using Thomson Scattering (TS).
* The radial profiles of electron density <math>n_{e}(r, t_0)</math> and temperature at one time instant <math>t_0</math> using Thomson Scattering (TS).
* The time evolution of the electron temperature profile <math>T_{e}(r,t)</math> with Electron Cyclotron Emission (ECE), when available, calibrated with TS.  
* The time evolution of the electron temperature profile <math>T_{e}(r,t)</math> with Electron Cyclotron Emission (ECE), when available, calibrated with TS.