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arXiv 1104.3744cond-mat.soft
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剪切作用下聚合物各向异性迁移率模型及其线性响应函数

Anisotropic Mobility Model for Polymers under Shear and its Linear Response Functions

Takashi Uneyama, Kazushi Horio, Hiroshi Watanabe

摘要:

我们提出了一个简单的动态模型的聚合物剪切下的各向异性迁移率张量。我们计算了剪切粘度,流变介电响应函数,并根据我们的模型推导出剪切流下的平行松弛模量。我们利用最近发展的非平衡系统的线性响应理论来计算线性响应函数。我们的结果与实验结果定性一致。我们表明,我们的各向异性迁移率模型可以再现剪切下的聚合物的基本动力学性质定性。我们比较我们的模型与其他模型或理论,如对流约束释放模型或非平衡线性响应理论。

英文摘要:

We propose a simple dynamic model of polymers under shear with an anisotropic mobility tensor. We calculate the shear viscosity, the rheo-dielectric response function, and the parallel relaxation modulus under shear flow deduced from our model. We utilize recently developed linear response theories for nonequilibrium systems to calculate linear response functions. Our results are qualitatively consistent with experimental results. We show that our anisotropic mobility model can reproduce essential dynamical nature of polymers under shear qualitatively. We compare our model with other models or theories such as the convective constraint release model or nonequilibrium linear response theories.

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