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	<title>Magnetic Force-Free Configurations for Thermonuclear Fusion - Revision history</title>
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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox paper&lt;br /&gt;
| title = Magnetic Force-Free Configurations for Thermonuclear Fusion&lt;br /&gt;
| author = [[]]&lt;br /&gt;
| keywords = [[force-free]], [[spheromak]], [[MHD theory]]&lt;br /&gt;
| published = 1988&lt;br /&gt;
| journal = [[Physics Essays]]&lt;br /&gt;
| volume = [[1]]&lt;br /&gt;
| number = [[2]]&lt;br /&gt;
| pages = 92-101&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Abstract==&lt;br /&gt;
&lt;br /&gt;
The&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;definition and properties of magnetic force-free states are analyzed rigorously.&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;Actually, two inequivalent models are traditionally confused in describing force-free&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;configurations. The existence of an external current as well as&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;other arguments preclude the magnetic field in either model from&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;being a solution of &amp;lt;img border=&amp;quot;0&amp;quot; alt=&amp;quot;[del]-vector &amp;quot; align=&amp;quot;bottom&amp;quot; src=&amp;quot;http://physicsessays.aip.org/servlet/GetImg?key=PHESEM000001000002000092000001%3A0%3A0%3A28&amp;amp;amp;t=a&amp;amp;amp;d=a&amp;quot; /&amp;gt; ? &amp;lt;img border=&amp;quot;0&amp;quot; alt=&amp;quot;a-vector &amp;quot; align=&amp;quot;bottom&amp;quot; src=&amp;quot;http://physicsessays.aip.org/servlet/GetImg?key=PHESEM000001000002000092000001%3A0%3A1%3A28&amp;amp;amp;t=a&amp;amp;amp;d=a&amp;quot; /&amp;gt; = k&amp;lt;img border=&amp;quot;0&amp;quot; alt=&amp;quot;a-vector &amp;quot; align=&amp;quot;bottom&amp;quot; src=&amp;quot;http://physicsessays.aip.org/servlet/GetImg?key=PHESEM000001000002000092000001%3A0%3A2%3A28&amp;amp;amp;t=a&amp;amp;amp;d=a&amp;quot; /&amp;gt;. Topological and geometrical considerations determine&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;the general type of magnetic field corresponding to a plasma&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;in a sphere or compact torus and correct some long-standing&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;errors. Magnetic flux conversion, observed in the spheromak and in&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;the reversed-field pinch, follows from the principle of energy equipartition&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;between orthogonal magnetic modes. These results suggest that the present-day&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;theoretical conception of stable plasma equilibria may be based upon&amp;lt;sup&amp;gt;&amp;lt;span style=&amp;quot;FONT-SIZE: x-small&amp;quot;&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/sup&amp;gt;several fundamental misunderstandings.&lt;br /&gt;
&lt;br /&gt;
[[Category:Scientific Paper|magnetic force-free configurations thermonuclear fusion]]&lt;/div&gt;</summary>
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