摘要翻译：
在考虑粘性后效应和流体动力噪声的基础上，推广了聚合物微珠位置矢量的Rouse-Zimm方程。对于噪声，水动力应力张量的随机起伏是造成噪声的主要原因。非定常Navier-Stokes方程Oseen张量的预平均使我们可以将颗粒位置的Fourier分量的时间相关函数与噪声产生的流体动力场的相关函数联系起来。在不依赖于聚合物参数的情况下，详细考虑了聚合物线圈惯性中心在短时间和长时间内的速度自相关函数，该函数遵循T^(-3/2)定律。该聚合物的扩散系数与Zimm理论的扩散系数接近，其修正值取决于珠粒尺寸与整个线圈尺寸的比值。
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英文标题：
《Effects of hydrodynamic noise on the diffusion of polymers in dilute
  solutions》
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作者：
V. Lisy, J. Tothova, A.V. Zatovsky
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  The Rouse-Zimm equation for the position vectors of beads mapping the polymer is generalized by taking into account the viscous aftereffect and the hydrodynamic noise. For the noise, the random fluctuations of the hydrodynamic tensor of stresses are responsible. The preaveraging of the Oseen tensor for the nonstationary Navier-Stokes equation allowed us to relate the time correlation functions of the Fourier components of the bead position to the correlation functions of the hydrodynamic field created by the noise. The velocity autocorrelation function of the center of inertia of the polymer coil is considered in detail for both the short and long times when it behaves according to the t^(-3/2) law and does not depend on any polymer parameters. The diffusion coefficient of the polymer is close to that from the Zimm theory, with corrections depending on the ratio between the size of the bead and the size of the whole coil.
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PDF链接：
https://arxiv.org/pdf/709.4104