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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 Worm-like chain ： ウィキペディア英語版 Worm-like chain The worm-like chain (WLC) model in polymer physics is used to describe the behavior of semi-flexible polymers; it is the continuous version of the Kratky-Porod model. == Theoretical Considerations == The WLC model envisions an isotropic rod that is continuously flexible. This is in contrast to the freely-jointed chain model that is flexible only between discrete segments. The worm-like chain model is particularly suited for describing stiffer polymers, with successive segments displaying a sort of cooperativity: all pointing in roughly the same direction. At room temperature, the polymer adopts a conformational ensemble that is smoothly curved; at $T\; =\; 0$ K, the polymer adopts a rigid rod conformation.〔 For a polymer of length $l$, parametrize the path of the polymer as $s\; \backslash in(0,l)$, allow $\backslash hat\; t(s)$ to be the unit tangent vector to the chain at $s$, and $\backslash vec\; r(s)$ to be the position vector along the chain. Then :$\backslash hat\; t(s)\; \backslash equiv\; \backslash frac$ and the end-to-end distance $\backslash vec\; R\; =\; \backslash int\_^\backslash hat\; t(s)\; ds$ .〔 It can be shown that the orientation correlation function for a worm-like chain follows an exponential decay:〔〔 :$\backslash langle\backslash hat\; t(s)\; \backslash cdot\; \backslash hat\; t(0)\backslash rangle=\backslash langle\; \backslash cos\; \backslash ;\; \backslash theta\; (s)\backslash rangle\; =\; e^\backslash ,$, where $P$ is by definition the polymer's characteristic persistence length. A useful value is the mean square end-to-end distance of the polymer:〔〔 $$ \langle R^ \rangle = \langle \vec R \cdot \vec R \rangle = \left\langle \int_^ \hat t(s) ds \cdot \int_^ \hat t(s') ds' \right\rangle = \int_^ ds \int_^ \langle \hat t(s) \cdot \hat t(s') \rangle ds'= \int_^ ds \int_^ e^ ds' $$ \langle R^ \rangle = 2 Pl \left (1 - \frac \left ( 1 - e^ \right ) \right ) , * Note that in the limit of $l\; \backslash gg\; P$, then $\backslash langle\; R^\; \backslash rangle\; =\; 2Pl$. This can be used to show that a Kuhn segment is equal to twice the persistence length of a worm-like chain.〔 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「Worm-like chain」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.