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arXiv 0906.1944cond-mat.softcond-mat.stat-mech
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简单链模型中的内耗和模弛豫

Internal friction and mode relaxation in a simple chain model

S. Fugmann, I. M. Sokolov

摘要:

我们考虑平衡松弛性质的端到端的距离和主成分在一个一维的聚合物链模型与非线性相互作用的珠。虽然对于单阱势,这些属性类似于劳斯链,对于双阱相互作用势,模拟内部摩擦,它们在中间时间和中间温度下与谐波链的属性有很大不同。一维模型中的这种最小描述模拟了在更复杂的聚合物系统中发现的弛豫特性。因此,端到端距离的弛豫时间可以在中间温度下增长几个数量级。的主要成分(其方向被证明是一致的谐波链的正常模式,无论相互作用的潜力是假设)不仅显示较大的弛豫时间,而且subdiffusivescaling。

英文摘要:

We consider equilibrium relaxation properties of the end-to-end distance and of principal components in a one-dimensional polymer chain model with nonlinear interaction between the beads. While for the single-well potentials these properties are similar to the ones of a Rouse chain, for the double-well interaction potentials, modeling internal friction, they differ vastly from the ones of the harmonic chain at intermediate times and intermediate temperatures. This minimal description within a one-dimensional model mimics the relaxation properties found in much more complex polymer systems. Thus, the relaxation time of the end-to-end distance may grow by orders of magnitude at intermediate temperatures. The principal components (whose directions are shown to coincide with the normal modes of the harmonic chain, whatever interaction potential is assumed) not only display larger relaxation times but also subdiffusive scaling.

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