DYNAMICS OF ENTANGLED POLYMER-SOLUTIONS .2. INCLUSION OF HYDRODYNAMIC INTERACTIONS
DYNAMICS OF ENTANGLED POLYMER-SOLUTIONS .2. INCLUSION OF HYDRODYNAMIC INTERACTIONS
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DOI：
10.1021/ma60052a012
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发表时间：
1976-01-01
期刊：
影响因子：
5.5
通讯作者：
DEGENNES, PG
中科院分区：
文献类型：
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作者：
DEGENNES, PG
我们构造了好溶剂中长柔性链随机运动的标度描述。(1)我们考察了Edwards-Free流体动力相互作用屏蔽理论，表明动态屏蔽长度与中子实验中引入的静态关联长度GB相同。(2)在2/k>；GB长波，我们发现粘性模式类似于凝胶，其协同扩散系数为DC&/6 7 GB(其中T为温度，170为溶剂粘度)。(3)存在一个特征频率A^dc/g2(~c2-25)，将多链区和单链区分开。对于频率>；A，或对于k GB>；1，我们发现具有特征频率-k~k3的单链行为。我们还尝试使用适当地扩展到聚合物溶液的翻转概念来描述单链的解缠。这导致松弛时间Tr~M3C3/2和粘度~M3C375(其中M是分子质量)。
We construct a scaling description for the stochastic motions of long, flexible chains in good solvents.(1) Wereexamine the Edwards-Freed theory for the screening of hydrodynamic interactions, and show that the dynamical screening length is identical with the static correlation length£ introduced in connection with neutron ex-periments.(2) At long wavelengths 2/k>£ we find viscous modes reminiscent of a gel with a cooperative diffusion coefficient Dc &/6 7£(where T is the temperature, 170 the solvent viscosity). Dc should scale like c3, i where c is the concentration.(3) There is a characteristic frequency A^ Dc/£ 2 (~ c2-25) separating a many-chain regime from a single-chain regime. For frequencies> A, or for k£> 1, we find single-chain behavior with a characteristic frequency-k~ k3. We also attempt to describe the disentanglement of one chain using the reptation concept suitably extended to polymer solutions. This leads to a relaxation time Tr~ M3c3/2 and to a viscosity~ M3c3 75 (where M is the molecular mass).