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	<title>Detachment - Revision history</title>
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	<updated>2026-04-11T12:53:46Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>http://wiki.fusenet.eu/fusionwiki/index.php?title=Detachment&amp;diff=7676&amp;oldid=prev</id>
		<title>Admin: Admin moved page Detachment1 to Detachment without leaving a redirect</title>
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		<updated>2024-01-11T18:30:14Z</updated>

		<summary type="html">&lt;p&gt;Admin moved page &lt;a href=&quot;/fusionwiki/index.php?title=Detachment1&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Detachment1 (page does not exist)&quot;&gt;Detachment1&lt;/a&gt; to &lt;a href=&quot;/wiki/Detachment&quot; title=&quot;Detachment&quot;&gt;Detachment&lt;/a&gt; without leaving a redirect&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 20:30, 11 January 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
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		<author><name>Admin</name></author>
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	<entry>
		<id>http://wiki.fusenet.eu/fusionwiki/index.php?title=Detachment&amp;diff=7675&amp;oldid=prev</id>
		<title>Admin: Created page with &quot;== Summary ==  The plasma is said to be detached from the divertor target plate when the primary plasma-neutral interaction takes place away from the plate because a region of high neutral density buffers the plate from the plasma. Detachment happens when physical processes (e.g. radiation, charge exchange, recombination, ...) in the Scrape-Off Layer (SOL) dissipate enough energy and momentum upstream of the divertor target plate. These processes can be activated at...&quot;</title>
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		<updated>2024-01-11T18:25:20Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Summary ==  The plasma is said to be detached from the divertor target plate when the primary plasma-neutral interaction takes place away from the plate because a region of high neutral density buffers the plate from the plasma. Detachment happens when physical processes (e.g. radiation, charge exchange, recombination, ...) in the &lt;a href=&quot;/wiki/Scrape-Off_Layer&quot; title=&quot;Scrape-Off Layer&quot;&gt;Scrape-Off Layer&lt;/a&gt; (SOL) dissipate enough energy and momentum upstream of the divertor target plate. These processes can be activated at...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Summary ==&lt;br /&gt;
&lt;br /&gt;
The plasma is said to be detached from the divertor target plate when the primary plasma-neutral interaction takes place away from the plate because a region of high neutral density buffers the plate from the plasma.&lt;br /&gt;
Detachment happens when physical processes (e.g. radiation, charge exchange, recombination, ...) in the [[Scrape-Off Layer]] (SOL) dissipate enough energy and momentum upstream of the divertor target plate.&lt;br /&gt;
These processes can be activated at high density or with radiating impurities.&lt;br /&gt;
Intrinsic impurities can be sputtered from plasma facing components by the plasma fuel ions, and extrinsic impurities can be added to the plasma by gas puffing.&lt;br /&gt;
&lt;br /&gt;
== Motivation for detaching ==&lt;br /&gt;
Detachment is associated with reduced heat flux reaching the divertor target plate, which helps avoid melting and thermal stress, and reduced electron temperature &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt; at the divertor target, which reduces sputtering.&lt;br /&gt;
This is important for prolonging the lifetime of plasma facing components in the divertor.&lt;br /&gt;
The heat that would&amp;#039;ve reached the divertor is distributed across a wider wall area by radiation, instead of being concentrated in a small area, such as a narrow annulus near the [[magnetic strike point]] in the case of a tokamak.&lt;br /&gt;
&lt;br /&gt;
== Quantifying detachment ==&lt;br /&gt;
A common way of measuring detachment is the Degree of Detachment (DOD) metric, which is the ratio of expected particle flux for an attached plasma to measured particle flux.&amp;lt;ref name=loarte_1998_nf&amp;gt;[[doi:10.1088/0029-5515/38/3/303|A. Loarte, et al., Nucl. Fusion &amp;#039;&amp;#039;&amp;#039;38&amp;#039;&amp;#039;&amp;#039; (1998) 331]]&amp;lt;/ref&amp;gt;&lt;br /&gt;
Particle flux reaching the divertor target &amp;lt;math&amp;gt;\Gamma_t&amp;lt;/math&amp;gt; is proportional to the ion saturation current &amp;lt;math&amp;gt;I_{sat}&amp;lt;/math&amp;gt; measured by Langmuir probes, which is a straightforward measurement from a ubiquitous diagnostic.&lt;br /&gt;
So, DOD can be recast as the ratio of expected &amp;lt;math&amp;gt;I_{sat}&amp;lt;/math&amp;gt; to measured &amp;lt;math&amp;gt;I_{sat}&amp;lt;/math&amp;gt;.&lt;br /&gt;
Attached &amp;lt;math&amp;gt;I_{sat}&amp;lt;/math&amp;gt; vs. density can be fit with a simple empirical function, such as &amp;lt;math&amp;gt;I_{sat} = C n_e^2&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;C&amp;lt;/math&amp;gt; is the fitting coefficient.&lt;br /&gt;
Then expected attached &amp;lt;math&amp;gt;I_{sat}&amp;lt;/math&amp;gt; can be calculated later, when the plasma is detached, by just evaluating &amp;lt;math&amp;gt;C n_e^2&amp;lt;/math&amp;gt;.&lt;br /&gt;
Average density such as from an interferometer is often used in the scaling, although the [[two-point model]] indicates that density at the separatrix &amp;lt;math&amp;gt;n_{e,sep}&amp;lt;/math&amp;gt; would be better.&amp;lt;ref name=leonard_2018_ppcf&amp;gt;[[doi:doi.org/10.1088/1361-6587/aaa7a9|A.W. Leonard, Plasma Phys. Control. Fusion &amp;#039;&amp;#039;&amp;#039;60&amp;#039;&amp;#039;&amp;#039; (2018) 044001]]&amp;lt;/ref&amp;gt;&lt;br /&gt;
However, average density is much easier to obtain.&lt;br /&gt;
Then DOD is just&lt;br /&gt;
:&amp;lt;math&amp;gt;DOD=\frac{C n_e^2}{I_{sat}}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Detachment can be described as complete or total when the particle flux becomes negligible.&lt;br /&gt;
A plasma can be described as simply &amp;quot;detached&amp;quot; or &amp;quot;deeply detached&amp;quot; if it is detached enough, where enough is subjective but could mean &amp;lt;math&amp;gt;DOD\geq10&amp;lt;/math&amp;gt;.&lt;br /&gt;
Partial detachment refers to a state with &amp;lt;math&amp;gt;DOD&amp;lt;/math&amp;gt; greater than 1 but less than what would be considered deep detachment; this could mean &amp;lt;math&amp;gt;2\leq DOD \leq 10&amp;lt;/math&amp;gt;, but there is no universal standard.&lt;br /&gt;
Partial detachment can also refer to part of the divertor plate being at a high DOD with another part of the late still at low DOD.&lt;br /&gt;
Detachment tends to begin near the [[magnetic strike point]] and spread outward into the farther SOL as detachment deepens.&lt;br /&gt;
&lt;br /&gt;
Detachment can also be assessed via electron temperature &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt; at or near the divertor target plate, as measured by Langmuir probes or divertor Thomson scattering.&lt;br /&gt;
The physical processes associated with deep detachment occur at low &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt;, and many of them are strong functions of &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt;, making &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt; a useful metric.&lt;br /&gt;
Sputtering of tungsten by deuterium ions drops sharply at &amp;lt;math&amp;gt;\sim 8&amp;lt;/math&amp;gt; eV,&amp;lt;ref&amp;gt;[[doi:10.1088/1741-4326/ab2aef|S. Brezinsek, et al., Nucl. Fusion &amp;#039;&amp;#039;&amp;#039;59&amp;#039;&amp;#039;&amp;#039; (2019) 096035]]&amp;lt;/ref&amp;gt; so &amp;lt;math&amp;gt;T_e\le8&amp;lt;/math&amp;gt; eV could be a useful threshold.&lt;br /&gt;
However, 5 eV is more widely used as a threshold for &amp;quot;pretty detached&amp;quot;.&lt;br /&gt;
Since language such as partially or deeply detached is not strictly defined, it may be advantageous to instead quote &amp;lt;math&amp;gt;DOD&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt; at the strike point or the location of a peak in heat flux, particle flux, or &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt; in order to define how detached a plasma is.&lt;br /&gt;
&amp;lt;math&amp;gt;DOD&amp;lt;/math&amp;gt; (actually attachment fraction &amp;lt;math&amp;gt;A_{frac}=1/DOD&amp;lt;/math&amp;gt;) and &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt; have been used as control variables in detachment control systems.&amp;lt;ref&amp;gt;[[doi:10.1088/1361-6587/ac6ff9|D. Eldon, et al., Plasma Phys. Control. Fusion &amp;#039;&amp;#039;&amp;#039;64&amp;#039;&amp;#039;&amp;#039; (2022) 075002]]&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;[[doi:10.1016/j.nme.2021.100963|D. Eldon, et al., Nucl. Mater. Energy &amp;#039;&amp;#039;&amp;#039;27&amp;#039;&amp;#039;&amp;#039; (2021) 100963]]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Side effects / disadvantages ==&lt;br /&gt;
Detachment is achieved via high density and/or high impurity content.&lt;br /&gt;
High density can lead to disruption because of the density limit, or be suboptimal for fusion performance.&lt;br /&gt;
Impurities, whether intrinsic (sputtered from the walls) or extrinsic (added intentionally, such as by gas puffing), dilute the fuel and reduce fusion gain.&lt;br /&gt;
This dilution also increases [[effective charge state]] &amp;lt;math&amp;gt;Z_{eff}&amp;lt;/math&amp;gt;, which affects many physical processes: resistivity is increased, making it harder to maintain adequate current drive and pulse length, and some instabilities may be excited.&lt;br /&gt;
At higher impurity radiation levels, heat can be removed from the core plasma, reducing energy confinement time and thus fusion gain.&lt;br /&gt;
High impurity content also brings the risk of radiation condensation, where a decrease in &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt; causes increased radiating efficiency, which cools the plasma and reduces &amp;lt;math&amp;gt;T_e&amp;lt;/math&amp;gt; even further in a feedback loop.&lt;br /&gt;
The radiation condensation effect can be localized to a relatively small volume at the edge of the plasma; one manifestation of this is a [[MARFE]] (Multi-faceted Asymmetric Radiation From the Edge).&lt;br /&gt;
At the extreme, radiation condensation can lead to a radiative collapse, a type of [[disruption]] where the entire plasma is cooled and stops carrying current.&lt;br /&gt;
&lt;br /&gt;
== Control ==&lt;br /&gt;
To balance the need to mitigate heat loads on the divertor with the disadvantages of extreme density and impurity content, [[detachment control]] systems are developed.&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&amp;lt;references /&amp;gt;&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
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