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arXiv 1104.0082cond-mat.soft
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polymer链在膜中的动力学

Dynamics of a polymer chain confined in a membrane

Sanoop Ramachandran, Shigeyuki Komura, Kazuhiko Seki, Gerhard Gompper

摘要:

我们提出了一个布朗动力学理论与全流体动力学(斯托克斯动力学)的高斯高分子链嵌入在液体膜,其中所包围的散装溶剂和墙壁。的迁移率张量推导出在傅立叶空间中的两个几何形状,即,一个自由的膜嵌入在一个散装流体,和膜夹在两个壁。在预平均近似,一个新的表达式的聚合物的扩散系数得到的自由膜的几何形状。我们还进行了Rouse正常模式分析,以获得弛豫时间和动力学结构因子。对于大的聚合物尺寸,这两个量显示齐姆样的行为在自由膜的情况下,而它们是Rouse样的夹层膜的几何形状。我们使用标度参数来讨论排除体积相互作用对聚合物弛豫时间的影响。

英文摘要:

We present a Brownian dynamics theory with full hydrodynamics (Stokesian dynamics) for a Gaussian polymer chain embedded in a liquid membrane which is surrounded by bulk solvent and walls. The mobility tensors are derived in Fourier space for the two geometries, namely, a free membrane embedded in a bulk fluid, and a membrane sandwiched by the two walls. Within the preaveraging approximation, a new expression for the diffusion coefficient of the polymer is obtained for the free membrane geometry. We also carry out a Rouse normal mode analysis to obtain the relaxation time and the dynamical structure factor. For large polymer size, both quantities show Zimm-like behavior in the free membrane case, whereas they are Rouse-like for the sandwiched membrane geometry. We use the scaling argument to discuss the effect of excluded volume interactions on the polymer relaxation time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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