Gaussian approximation for Rouse chains with hydrodynamic interaction
Gaussian approximation for Rouse chains with hydrodynamic interaction
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具有流体动力相互作用的劳斯链的高斯近似
DOI：
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发表时间：
1989
期刊：
影响因子：
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通讯作者：
H. C. Öttinger
中科院分区：
文献类型：
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作者：
H. C. Öttinger
开发了一种新的近似方法，用于处理稀聚合物溶液的珠弹簧模型中的流体动力相互作用。该方法基于构型分布函数为高斯分布的假设，解释了流体动力相互作用中的波动。在这个高斯近似中，我们构建了一个流变状态方程和一个任意长度链的代码形成记忆积分展开式。作为这些一般结果的直接应用，我们讨论小振幅振荡和稳定剪切流。对于哑铃，高斯近似下的流变状态方程是通过对一致平均法的相应方程稍加修改得到的。
A new approximate method for treating hydrodynamic interactions in a bead–spring model for dilute polymer solutions is developed. This method, which is based on the assumption that the configurational distribution function is Gaussian, accounts for fluctuations in the hydrodynamic interaction. In this Gaussian approximation, we construct a rheological equation of state and a codeformational memory‐integral expansion for chains of arbitrary length. As a straightforward application of these general results, we discuss small‐amplitude oscillatory and steady shear flows. For dumbbells, the rheological equation of state in the Gaussian approximation is obtained by a slight modification of the corresponding equation for the consistent averaging method.