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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}=\ | 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>\ | <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>\ | * 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. |