TJ-II:Magnetic field - Revision history

Admin at 10:24, 12 October 2009

2009-10-12T10:24:47Z

← Older revision		Revision as of 12:24, 12 October 2009
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	[[File:TJ-II Curvature.jpg\|800px\|thumb\|center\|TJ-II: Curvature κ<sub>N</sub>]]		[[File:TJ-II Curvature.jpg\|800px\|thumb\|center\|TJ-II: Curvature κ<sub>N</sub>]]
	Normal [[Magnetic curvature\|magnetic curvature]] of the magnetic field, κ<sub>N</sub>.		Normal [[Magnetic curvature\|magnetic curvature]] of the magnetic field, κ<sub>N</sub>.
	Positive values of κ<sub>N</sub> are regions where curvature-driven modes are stable.		Positive values of κ<sub>N</sub> are regions where curvature-driven modes are expected to be stable (note that this figure corresponds to the ''vacuum'' magnetic field -without plasma- so that strictly speaking it is not correct to speak about plasma stability).

	[[File:TJ-II Local shear.jpg\|800px\|thumb\|center\|TJ-II: Local shear, ''s''<sub>local</sub>]]		[[File:TJ-II Local shear.jpg\|800px\|thumb\|center\|TJ-II: Local shear, ''s''<sub>local</sub>]]

Admin at 10:14, 12 October 2009

2009-10-12T10:14:51Z

← Older revision		Revision as of 12:14, 12 October 2009
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	[[File:TJ-II Curvature.jpg\|800px\|thumb\|center\|TJ-II: Curvature κ<sub>N</sub>]]		[[File:TJ-II Curvature.jpg\|800px\|thumb\|center\|TJ-II: Curvature κ<sub>N</sub>]]
	Normal [[Magnetic curvature\|magnetic curvature]] of the magnetic field, κ<sub>N</sub>. ~~Definition:~~		Normal [[Magnetic curvature\|magnetic curvature]] of the magnetic field, κ<sub>N</sub>.
	~~:<math>\kappa_N = \kappa \cdot \frac{\nabla \psi}{\|\nabla \psi\|}</math>~~		Positive values of κ<sub>N</sub> are regions where curvature-driven modes are stable.
	~~With this definition, positive~~ values of κ<sub>N</sub> are regions where curvature-driven modes are stable.

	[[File:TJ-II Local shear.jpg\|800px\|thumb\|center\|TJ-II: Local shear, ''s''<sub>local</sub>]]		[[File:TJ-II Local shear.jpg\|800px\|thumb\|center\|TJ-II: Local shear, ''s''<sub>local</sub>]]

Admin at 08:55, 12 October 2009

2009-10-12T08:55:23Z

← Older revision		Revision as of 10:55, 12 October 2009
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	The complexity of the [[TJ-II]] magnetic field is patent from the following ~~two~~ examples, in which a magnetic field property is mapped onto the last closed [[Flux surface\|flux surface]] (configuration 100_44_64). The influence of the [[TJ-II:Coil system\|toroidal field coils]] is clearly visible (there are 32 toroidal field coils, leading to the striped pattern), as well as that of the [[TJ-II:Coil system\|circular/helical coils]] (continuous red stripe in the toroidal direction in the first two figures below).		The complexity of the [[TJ-II]] magnetic field is patent from the following examples, in which a magnetic field property is mapped onto the last closed [[Flux surface\|flux surface]] (configuration 100_44_64). The influence of the [[TJ-II:Coil system\|toroidal field coils]] is clearly visible (there are 32 toroidal field coils, leading to the striped pattern), as well as that of the [[TJ-II:Coil system\|circular/helical coils]] (continuous red stripe in the toroidal direction in the first two figures below).

	[[File:TJ-II AbsB.jpg\|800px\|thumb\|center\|TJ-II: Abs(B)]]		[[File:TJ-II AbsB.jpg\|800px\|thumb\|center\|TJ-II: Abs(B)]]

Admin at 08:54, 12 October 2009

2009-10-12T08:54:57Z

← Older revision		Revision as of 10:54, 12 October 2009
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	The complexity of the [[TJ-II]] magnetic field is patent from the following two examples, in which a magnetic field property is mapped onto the last closed [[Flux surface\|flux surface]] (configuration 100_44_64). The influence of the [[TJ-II:Coil system\|toroidal field coils]] is clearly visible (there are 32 toroidal field coils, leading to the striped pattern), as well as that of the [[TJ-II:Coil system\|circular/helical coils]] (continuous red stripe in the toroidal direction in ~~both~~ figures).		The complexity of the [[TJ-II]] magnetic field is patent from the following two examples, in which a magnetic field property is mapped onto the last closed [[Flux surface\|flux surface]] (configuration 100_44_64). The influence of the [[TJ-II:Coil system\|toroidal field coils]] is clearly visible (there are 32 toroidal field coils, leading to the striped pattern), as well as that of the [[TJ-II:Coil system\|circular/helical coils]] (continuous red stripe in the toroidal direction in the first two figures below).

	[[File:TJ-II AbsB.jpg\|800px\|thumb\|center\|TJ-II: Abs(B)]]		[[File:TJ-II AbsB.jpg\|800px\|thumb\|center\|TJ-II: Abs(B)]]
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	Normal [[Magnetic curvature\|magnetic curvature]] of the magnetic field, κ<sub>N</sub>. Definition:		Normal [[Magnetic curvature\|magnetic curvature]] of the magnetic field, κ<sub>N</sub>. Definition:
	:<math>\kappa_N = \kappa \cdot \frac{\nabla \psi}{\|\nabla \psi\|}</math>		:<math>\kappa_N = \kappa \cdot \frac{\nabla \psi}{\|\nabla \psi\|}</math>
	With this definition, positive values of κ<sub>N</sub> are stable.		With this definition, positive values of κ<sub>N</sub> are regions where curvature-driven modes are stable.

			[[File:TJ-II Local shear.jpg\|800px\|thumb\|center\|TJ-II: Local shear, ''s''<sub>local</sub>]]
			[[Magnetic shear\|Local shear]] of the magnetic field. TJ-II is a low-shear device, meaning the [[Magnetic shear\|global shear]] is small; however, the value of the local shear can be quite large.

	== See also ==		== See also ==
	* [[TJ-II:Magnetic coordinates]]		* [[TJ-II:Magnetic coordinates]]

Admin at 12:20, 11 October 2009

2009-10-11T12:20:05Z

← Older revision		Revision as of 14:20, 11 October 2009
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	The complexity of the TJ-II magnetic field is patent from the following two examples, in which a magnetic field property is mapped onto the last closed [[Flux surface\|flux surface]] (configuration 100_44_64). The influence of the [[TJ-II:Coil system\|toroidal field coils]] is clearly visible (there are 32 toroidal field coils, leading to the striped pattern), as well as that of the [[TJ-II:Coil system\|circular/helical coils]] (continuous red stripe in the toroidal direction in both figures).		The complexity of the [[TJ-II]] magnetic field is patent from the following two examples, in which a magnetic field property is mapped onto the last closed [[Flux surface\|flux surface]] (configuration 100_44_64). The influence of the [[TJ-II:Coil system\|toroidal field coils]] is clearly visible (there are 32 toroidal field coils, leading to the striped pattern), as well as that of the [[TJ-II:Coil system\|circular/helical coils]] (continuous red stripe in the toroidal direction in both figures).

	[[File:TJ-II AbsB.jpg\|800px\|thumb\|center\|TJ-II: Abs(B)]]		[[File:TJ-II AbsB.jpg\|800px\|thumb\|center\|TJ-II: Abs(B)]]

Admin at 10:13, 11 October 2009

2009-10-11T10:13:57Z

← Older revision		Revision as of 12:13, 11 October 2009
Line 1:		Line 1:
	The complexity of the TJ-II magnetic field is patent from the following two examples, in which a magnetic field property is mapped onto the last closed [[Flux surface\|flux surface]] (configuration 100_44_64).		The complexity of the TJ-II magnetic field is patent from the following two examples, in which a magnetic field property is mapped onto the last closed [[Flux surface\|flux surface]] (configuration 100_44_64). The influence of the [[TJ-II:Coil system\|toroidal field coils]] is clearly visible (there are 32 toroidal field coils, leading to the striped pattern), as well as that of the [[TJ-II:Coil system\|circular/helical coils]] (continuous red stripe in the toroidal direction in both figures).

	[[File:TJ-II AbsB.jpg\|800px\|thumb\|center\|TJ-II: Abs(B)]]		[[File:TJ-II AbsB.jpg\|800px\|thumb\|center\|TJ-II: Abs(B)]]
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	== See also ==		== See also ==
	* [[TJ-II:Magnetic coordinates]]		* [[TJ-II:Magnetic coordinates]]
	* [[TJ-II:Coil system]]

Admin: Created page with 'The complexity of the TJ-II magnetic field is patent from the following two examples, in which a magnetic field property is mapped onto the last closed [[Flux surface|flux surfac…'

2009-10-11T10:09:54Z

Created page with 'The complexity of the TJ-II magnetic field is patent from the following two examples, in which a magnetic field property is mapped onto the last closed [[Flux surface|flux surfac…'

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The complexity of the TJ-II magnetic field is patent from the following two examples, in which a magnetic field property is mapped onto the last closed [[Flux surface|flux surface]] (configuration 100_44_64).

[[File:TJ-II AbsB.jpg|800px|thumb|center|TJ-II: Abs(B)]]
Absolute value of the magnetic field, |B| (T).

[[File:TJ-II Curvature.jpg|800px|thumb|center|TJ-II: Curvature κN]]
Normal [[Magnetic curvature|magnetic curvature]] of the magnetic field, κN. Definition:
:<math>\kappa_N = \kappa \cdot \frac{\nabla \psi}{|\nabla \psi|}</math>
With this definition, positive values of κN are stable.

== See also ==
* [[TJ-II:Magnetic coordinates]]
* [[TJ-II:Coil system]]

← Older revision		Revision as of 12:14, 12 October 2009
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	[[File:TJ-II Curvature.jpg\|800px\|thumb\|center\|TJ-II: Curvature κ<sub>N</sub>]]		[[File:TJ-II Curvature.jpg\|800px\|thumb\|center\|TJ-II: Curvature κ<sub>N</sub>]]
	Normal [[Magnetic curvature\|magnetic curvature]] of the magnetic field, κ<sub>N</sub>. ~~Definition:~~		Normal [[Magnetic curvature\|magnetic curvature]] of the magnetic field, κ<sub>N</sub>.
	~~:<math>\kappa_N = \kappa \cdot \frac{\nabla \psi}{\|\nabla \psi\|}</math>~~		Positive values of κ<sub>N</sub> are regions where curvature-driven modes are stable.
	~~With this definition, positive~~ values of κ<sub>N</sub> are regions where curvature-driven modes are stable.

	[[File:TJ-II Local shear.jpg\|800px\|thumb\|center\|TJ-II: Local shear, ''s''<sub>local</sub>]]		[[File:TJ-II Local shear.jpg\|800px\|thumb\|center\|TJ-II: Local shear, ''s''<sub>local</sub>]]