TJ-II:Impurity density and potential asymmetries - Revision history

Admin at 10:37, 4 December 2023

2023-12-04T10:37:18Z

← Older revision		Revision as of 12:37, 4 December 2023
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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.

Jose.regana at 08:35, 20 July 2018

2018-07-20T08:35:01Z

← Older revision		Revision as of 10:35, 20 July 2018
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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_09-33-36.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>]]

Jose.regana at 08:34, 20 July 2018

2018-07-20T08:34:44Z

← Older revision		Revision as of 10:34, 20 July 2018
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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 #45477 <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>]]

Jose.regana at 08:33, 20 July 2018

2018-07-20T08:33:25Z

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 Spring
 == Proposal title ==
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 == Description of required resources ==

Jose.regana at 08:32, 20 July 2018

2018-07-20T08:32:53Z

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 == Description of required resources ==
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 == Results ==
 == References ==

Jose.regana: /* Results */

2018-07-20T08:32:16Z

Results

← Older revision		Revision as of 10:32, 20 July 2018
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	== Results ==		== Results ==

	[[File:Photo_2018-07-20_09-33-36.jpg \|thumb\|light\|~~600px~~\| Figure 1.		[[File:Photo_2018-07-20_09-33-36.jpg \|thumb\|light\|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\|~~900px~~\| Figure 1. ~~SXR radiation for~~ the ion-root discharge ~~45469~~ <ref> M. Ezzat ''Advanced neoclassical impurity transport		[[File:Photo_2018-07-20_09-32-57.jpg \|thumb\|right\|500px\| Figure 1. Same as in figure 1. but considering the ion-root discharge #45477 <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>]]

Jose.regana at 08:31, 20 July 2018

2018-07-20T08:31:18Z

← Older revision		Revision as of 10:31, 20 July 2018
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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 \|thumb\|right\|900px\| Figure 1. SXR radiation for the ion-root discharge 45469 <ref> M. Ezzat ''Advanced neoclassical impurity transport		[[File:Photo_2018-07-20_09-32-57.jpg \|thumb\|right\|900px\| Figure 1. SXR radiation for 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>]]

Jose.regana: /* Results */

2018-07-20T08:29:50Z

Results

← Older revision		Revision as of 10:29, 20 July 2018
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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 \|thumb\|right\|~~300px~~\| Figure 1. SXR radiation for the ion-root discharge 45469 <ref> M. Ezzat ''Advanced neoclassical impurity transport		[[File:photo_2018-07-20_09-32-57 \|thumb\|right\|900px\| Figure 1. SXR radiation for 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>]]

Jose.regana at 08:28, 20 July 2018

2018-07-20T08:28:52Z

← Older revision		Revision as of 10:28, 20 July 2018
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	== Results ==		== Results ==

	[[File:Photo_2018-07-20_09-33-36.jpg \|thumb\|~~right~~\|~~300px~~\| Figure 1.		[[File:Photo_2018-07-20_09-33-36.jpg \|thumb\|light\|600px\| 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

Jose.regana at 08:28, 20 July 2018

2018-07-20T08:28:06Z

← Older revision		Revision as of 10:28, 20 July 2018
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	== Results ==		== Results ==

	[[File:~~Ion~~-~~root~~-~~SXR_gimp~~.jpg \|thumb\|right\|300px\| Figure 1. SXR radiation ~~for~~ the ~~ion~~-~~root discharge 45469~~ <ref> M. Ezzat ''Advanced neoclassical impurity transport		[[File:Photo_2018-07-20_09-33-36.jpg \|thumb\|right\|300px\| Figure 1.
			Numerical vs Experiment electron-root #45477 discharge:
			(a,b) Numerical impurity density asymmetry parameter <math>\alpha_{nZ}</math> and the
			experimental radiation asymmetry parameter <math>\alpha_{rad}</math> respectively at the toroidal plane
			<math>\phi=14.5^{\circ}</math> that corresponds the SXR toroidal measurement plane. (c,d) Numerical
			impurity density asymmetry parameter <math>\alpha_{nZ}</math> and the experimental radiation asymmetry
			parameter <math>\alpha_{rad}</math> respectively at the toroidal plane <math>\phi=75.5^{\circ}</math> that corresponds
			the Bolometery toroidal position. Note the numerical and experimental scale sare
			the same <math>[-0.38, 0.38]</math>. Since neon impurities were puffed at trave levels during the discharges, the numerical
			results in (a,c) have considered <math>Z_{I}=10</math>, i.e. they have assumed fully ionization of Ne on the whole
			effective radius <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>]]

	[[File:~~Ion~~-~~root~~-~~SXR_gimp.jpg~~ \|thumb\|right\|300px\| Figure 1. SXR radiation for the ion-root discharge 45469 <ref> M. Ezzat ''Advanced neoclassical impurity transport		[[File:photo_2018-07-20_09-32-57 \|thumb\|right\|300px\| Figure 1. SXR radiation for 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>]]