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静态劳斯模式及相关量:聚合物熔体中链理想性的修正

Static Rouse modes and related quantities: corrections to chain ideality in polymer melts.

作者信息

Meyer H, Wittmer J P, Kreer T, Beckrich P, Johner A, Farago J, Baschnagel J

机构信息

Institut Charles Sadron, CNRS, 23 rue du Loess, Strasbourg Cedex, France.

出版信息

Eur Phys J E Soft Matter. 2008 May-Jun;26(1-2):25-33. doi: 10.1140/epje/i2007-10250-0. Epub 2008 Feb 20.

DOI:10.1140/epje/i2007-10250-0
PMID:18286228
Abstract

Following the Flory ideality hypothesis intrachain and interchain excluded-volume interactions are supposed to compensate each other in dense polymer systems. Multichain effects should thus be neglected and polymer conformations may be understood from simple phantom chain models. Here we provide evidence against this phantom chain, mean-field picture. We analyze numerically and theoretically the static correlation function of the Rouse modes. Our numerical results are obtained from computer simulations of two coarse-grained polymer models for which the strength of the monomer repulsion can be varied, from full excluded volume ("hard monomers") to no excluded volume ("phantom chains"). For nonvanishing excluded volume we find the simulated correlation function of the Rouse modes to deviate markedly from the predictions of phantom chain models. This demonstrates that there are nonnegligible correlations along the chains in a melt. These correlations can be taken into account by perturbation theory. Our simulation results are in good agreement with these new theoretical predictions.

摘要

根据弗洛里理想性假设,在致密聚合物体系中,链内和链间的排除体积相互作用被认为会相互补偿。因此,多链效应应被忽略,聚合物构象可以从简单的虚链模型来理解。在此,我们提供了反对这种虚链平均场图景的证据。我们从数值和理论上分析了劳斯模式的静态相关函数。我们的数值结果是通过对两种粗粒化聚合物模型的计算机模拟得到的,对于这两种模型,单体排斥强度可以变化,从完全排除体积(“硬单体”)到无排除体积(“虚链”)。对于非零的排除体积,我们发现劳斯模式的模拟相关函数明显偏离虚链模型的预测。这表明在熔体中沿着链存在不可忽略的相关性。这些相关性可以通过微扰理论来考虑。我们的模拟结果与这些新的理论预测非常吻合。

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本文引用的文献

1
Coarse Graining of Short Polythylene Chains for Studying Polymer Crystallization.用于研究聚合物结晶的短聚乙烯链的粗粒化
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2
Accurate excluded-volume corrections to the single-chain static properties of a melt of unentangled polymers.
J Phys Condens Matter. 2006 Aug 16;18(32):7543-52. doi: 10.1088/0953-8984/18/32/003. Epub 2006 Jul 25.
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Intramolecular long-range correlations in polymer melts: the segmental size distribution and its moments.聚合物熔体中的分子内长程关联:链段尺寸分布及其矩
均聚物熔体中链松弛的劳斯模式分析
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Structural properties of crystallizable polymer melts: Intrachain and interchain correlation functions.可结晶聚合物熔体的结构性质:链内和链间相关函数。
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Apr;75(4 Pt 1):041801. doi: 10.1103/PhysRevE.75.041801. Epub 2007 Apr 10.
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Effect of bending and torsion rigidity on self-diffusion in polymer melts: a molecular-dynamics study.弯曲和扭转刚度对聚合物熔体中自扩散的影响:一项分子动力学研究。
J Chem Phys. 2005 Sep 15;123(11):114901. doi: 10.1063/1.2035086.
6
Long range bond-bond correlations in dense polymer solutions.浓聚合物溶液中的长程键-键相关性。
Phys Rev Lett. 2004 Oct 1;93(14):147801. doi: 10.1103/PhysRevLett.93.147801. Epub 2004 Sep 29.
7
Theoretical notes on dense polymers in two dimensions.二维致密聚合物的理论笔记。
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