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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Taylor state ： ウィキペディア英語版 Taylor state In plasma physics, a Taylor state is the minimum energy state of a plasma satisfying the constraint of conserving magnetic helicity. == Derivation == Consider a closed, simply-connected, flux-conserving, perfectly conducting surface $S$ surrounding a plasma with negligible thermal energy ($\backslash beta\; \backslash rightarrow\; 0$). Since $\backslash vec\backslash cdot\backslash vec=0$ on $S$. This implies that $\backslash vec\_=0$. As discussed above, the plasma would relax towards a minimum energy state while conserving its magnetic helicity. Since the boundary is perfectly conducting, there cannot be any change in the associated flux. This implies $\backslash delta\; \backslash vec\backslash cdot\backslash vec=0$ and $\backslash delta\backslash vec\_=0$ on $S$. We formulate a variational problem of minimizing the plasma energy $W=\backslash int\; d^3rB^2/2\backslash mu\_\backslash circ$ while conserving magnetic helicity $K=\backslash int\; d^3r\backslash vec\backslash cdot\backslash vec$. The variational problem is $\backslash delta\; W\; -\backslash lambda\; \backslash delta\; K\; =\; 0$. After some algebra this leads to the following constraint for the minimum energy state $\backslash nabla\; \backslash times\; \backslash vec\; =\; \backslash lambda\; \backslash vec$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Taylor state」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.