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arXiv 1202.1890cond-mat.softcond-mat.stat-mech
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环状Polymer熔体的统计和几何图象及溶液

Statistics and Geometrical Picture of Ring Polymer Melts and Solutions

Takahiro Sakaue

摘要:

我们提出了一个详细的帐户最近提出的唯象理论noncatenated环聚合物熔体(物理评论快报。106,167802(2011))。一个基本的假设在于通过有效的排除体积效应的非连锁约束的实施,从熔体的几何图片出现。结果捕捉到了迄今为止观察到的许多显著特征,包括(i)环的总体空间大小,(ii)坐标数,即,给定环周围的环数,(iii)作为分子量的函数的拓扑长度尺度,以及(iv)链刚度和浓度的影响。我们还提出了拓扑长度尺度的几何解释,这可能会对聚合物系统中的纠缠概念有所启发。

英文摘要:

We present a detailed account of a recently proposed phenomenological theory for noncatenated ring polymer melts (Phys. Rev. Lett. 106, 167802 (2011)). A basic assumption lies in the implementation of the noncatenation constraint via the effective excluded-volume effect, from which a geometrical picture of melts emerges. The result captures many of the salient features observed so far, including (i) the overall spacial size of rings, (ii) the coordinate number, i.e., the number of rings surrounding a given ring, (iii) the topological length scale as a function of the molecular weight and (iv) the effect of the chain stiffness and concentration. We also suggest a geometrical interpretation of the topological length scale, which may shed some light on the entanglement concept in polymeric systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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