Dynamics of semi-flexible tethered sheets
Dynamics of semi-flexible tethered sheets
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DOI：
10.1140/epje/i2011-11136-2
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发表时间：
2011-12
期刊：
影响因子：
--
通讯作者：
S. Babu;Holger Stark
中科院分区：
文献类型：
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作者：
S. Babu;Holger Stark
利用随机旋转动力学方法研究了半柔性薄膜在溶剂中的动力学行为。在这种方法中自然包括了板的不同部分之间的流体动力学相互作用。我们证实了自避免栓系膜的回转半径与片尺寸的比例律。均方位移表现出类似于线性聚合物的亚扩散和扩散行为。在中间散射函数中，次扩散行为表现为拉伸指数，我们在模拟中再现了这一点。因此，我们证实了从Zimm动力学（E。弗雷，DR纳尔逊，物理学杂志I 1，1715（1991））。最后，我们表明，方形片的扩散系数与片的边长成反比，再次与理论预测吻合得很好。
The dynamics of a semi-flexible sheet or tethered membrane in a solvent is studied using the method of stochastic rotation dynamics. Hydrodynamic interactions between different parts of the sheet are naturally included in this method. We confirm the scaling law for the radius of gyrationversussheet size predicted for a self-avoiding tethered membrane. The mean-square displacement shows both sub-diffusive and diffusive behavior similar to linear polymers. In the intermediate scattering function the sub-diffusive behavior appears as stretched exponential which we reproduce in our simulations. Thereby, we confirm an early prediction between the roughness and the sub-diffusion exponent derived from Zimm dynamics (E. Frey, D.R. Nelson, J. Phys. I1, 1715 (1991)). Finally, we show that the diffusion coefficient of the square sheet is inversely proportional to the edge length of the sheet again in good agreement with theoretical predictions.