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arXiv 0711.4402cond-mat.soft
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缠结polymer液体的粘弹性和原始路径分析:从f-肌动蛋白到聚乙烯

Viscoelasticity and primitive path analysis of entangled polymer liquids: From f-actin to polyethylene

Nariya Uchida, Gary S. Grest, Ralf Everaers

摘要:

我们结合计算机模拟和缩放参数,开发一个统一的观点聚合物纠缠的基础上的原始路径分析(PPA)的微观拓扑状态。我们的研究结果同意实验测量的高原模量为三个不同的聚合物类在宽范围的减少聚合物的密度:(i)半稀θ溶液的合成聚合物,(ii)相应的密集熔体以上的玻璃化转变或结晶温度,和(iii)解决方案的半柔性(生物)聚合物,如f-肌动蛋白或悬浮液的棒状病毒。这些系统一起涵盖了从松散到紧密缠绕的聚合物的整个范围。特别是,我们认为,原始路径分析重正化松散的紧纠缠系统,并提供了一个新的解释成功的Lin-Noolandi包装猜想的聚合物熔体。

英文摘要:

We combine computer simulations and scaling arguments to develop a unified view of polymer entanglement based on the primitive path analysis (PPA) of the microscopic topological state. Our results agree with experimentally measured plateau moduli for three different polymer classes over a wide rangeof reduced polymer densities: (i) semi-dilute theta solutions of synthetic polymers, (ii) the corresponding dense melts above the glass transition or crystallization temperature, and (iii) solutions of semi-flexible (bio)polymers such as f-actin or suspensions of rodlike viruses. Together these systems cover the entire range from loosely to tightly entangled polymers. In particular, we argue that the primitive path analysis renormalizes a loosely to a tightly entangled system and provide a new explanation of the successful Lin-Noolandi packing conjecture for polymer melts.

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