Normal Modes of Stretched Polymer Chains
Normal Modes of Stretched Polymer Chains
复制标题
拉伸聚合物链的简正模态
DOI：
10.1021/ma00108a028
复制
发表时间：
1995
期刊：
影响因子：
5.5
通讯作者：
F. Brochard
中科院分区：
文献类型：
--
作者：
Y. Marciano;F. Brochard
我们考虑了系链聚合物链的正态模态和对小振动力的响应。链条最初要么被施加在自由端（情况1）的力拉伸，形成雪茄形状，要么被均匀流动（情况2）拉伸，形成小号形状。拉伸链可以理解为不可穿透斑点的劳斯链：对于情形1，斑点都是相同的，长波模式是重整的劳斯模式。一个小的振荡驱动力（f+ f 1 cos wt）使链扭曲的距离达到x = (f/ηw) 1/2，其中η为溶剂粘度。对于情形2，斑点的大小从自由端到附着点减小。模态由零阶贝塞尔函数描述，但p阶模的色散关系仍然是劳斯型（1/τ p ~ p2）。在自由端施加一个小的振荡力所引起的畸变的穿透长度为x = V/ω，其中V为溶剂速度。我们所有的结果都适用于理想或肿胀的链条。
We consider the normal modes and the response to a small oscillating force of one tethered polymer chain. The chain is originally stretched either by a force f applied at free end (case 1), giving a cigar shape, or by a uniform flow (case 2), giving a trumpet shape. Stretched chains can be understood as Rouse chains of impenetrable blobs : For case 1, the blobs are all identical and the long-wavelength modes are renormalized Rouse modes. A small oscillating driving force (f+ f 1 cos wt) distorts the chains up to a distance x = (f/ηw) 1/2 , where η is the solvent viscosity. For case 2, the size of the blobs decreases from the free end to the attachment point. The modes are described by zero-order Bessel functions, but the dispersion relation of the p'th mode is still of the Rouse type (1/τ p ∼ p 2 ). The penetration length of the distortion induced by a small oscillatory force applied at the free end is x = V/ω, where V is the solvent velocity. All our results hold as well for an ideal or swollen chain.