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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 Polymer brush ： ウィキペディア英語版 Polymer brush Polymer brush is a layer of polymers attached with one end to a surface. The brushes may be either in a solvent state, when the dangling chains are submerged into a solvent, or in a melt state, when the dangling chains completely fill up the space available. Additionally, there is a separate class of polyelectrolyte brushes, when the polymer chains themselves carry an electrostatic charge. The brushes are often characterized by the high density of grafted chains. The limited space then leads to a strong extension of the chains, and unusual properties of the system. Brushes can be used to stabilize colloids, reduce friction between surfaces, and to provide lubrication in artificial joints. Polymer brushes have been modeled with Monte Carlo methods, Brownian dynamics simulations and molecular theories == Structure of a polymer brush == Polymer molecules within a brush are stretched away from the attachment surface as a result of the fact that they repel each other (steric repulsion or osmotic pressure). More precisely, they are more elongated near the attachment point and unstretched at the free end, as depicted on the drawing. More preciseley, within the approximation derived by Milner, Witten, Cates,〔 the average density of all monomers in a given chain is always the same up to a prefactor: $\backslash phi(z,\backslash rho)=\backslash frac$ $n(z,\backslash rho)=\backslash frac\backslash arcsin\backslash left(\backslash frac\backslash right)$ where $\backslash rho$ is the altitude of the end monomer and $N$ the number of monomers per chain. The averaged density profile $\backslash epsilon(\backslash rho)$ of the end monomers of all attached chains, convoluted with the above density profile for one chain, determines the density profile of the brush as a whole: $\backslash phi(z)=\backslash int\_z^\backslash infty\; \backslash frac\backslash ,\backslash epsilon(\backslash rho)\backslash ,\backslash rho$ A dry brush has a uniform monomer density up to some altitude $H$. One can show that the corresponding end monomer density profile is given by: $\backslash epsilon\_(\backslash rho,H)=\backslash frac\backslash rho\backslash ,\backslash int\_0^N\backslash ,n\backslash ,\backslash frac\backslash left(\backslash frac\backslash right)^2$ regardless of the end monomer density profile $\backslash epsilon(\backslash rho)$, as shown in. 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「Polymer brush」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.