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arXiv 1104.5655cond-mat.soft
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非级联环状聚合物熔体的分子动力学模拟研究:II。动力学

Molecular Dynamics Simulation Study of Nonconcatenated Ring Polymers in a Melt: II. Dynamics

Jonathan D. Halverson, Won Bo Lee, Gary S. Grest, Alexander Y. Grosberg, Kurt Kremer

摘要:

采用分子动力学模拟研究了非级联环状聚合物熔体的动力学性质,并与线性聚合物熔体进行了比较。最长的环由N=1600个单体/链组成,这对应于可比较的线性聚合物的大约57个缠结长度。环熔体被发现比它们的线性对应物扩散得更快,两种结构的自扩散系数都约为N的-2.4次方。环的质量中心的均方位移遵循次扩散行为的时间和距离超出均方回转半径,既不兼容的劳斯也不爬行模型。环松弛应力比线性聚合物快得多,并且发现零剪切粘度变化为约N的1.4次方,这比线性链的N的3.4次方弱得多,当与观察到的均方位移相比时,不匹配任何公知的聚合物动力学模型。这些发现进行了讨论,鉴于在前面的文件(DOI:10.1063/1.3587137)中提出的环的构象特性。

英文摘要:

Molecular dynamics simulations were conducted to investigate the dynamic properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which corresponds to roughly 57 entanglement lengths for comparable linear polymers. The ring melts were found to diffuse faster than their linear counterparts, with the self-diffusion coefficient for both architectures scaling as approximately N to the -2.4 power for large N. The mean-square displacement of the center-of-mass of the rings follows a sub-diffusive behavior for times and distances beyond the mean-square gyration radius, neither compatible with the Rouse nor the reptation model. The rings relax stress much faster than linear polymers and the zero-shear viscosity was found to vary as approximately N to the 1.4 power which is much weaker than the N to the 3.4 power of linear chains, not matching any commonly known model for polymer dynamics when compared to the observed mean-square displacements. These findings are discussed in view of the conformational properties of the rings presented in the preceding paper (DOI: 10.1063/1.3587137).

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