Viscoelastic and Orientational Relaxation of Linear and Ring Rouse Chains Undergoing Reversible End-Association and Dissociation
Viscoelastic and Orientational Relaxation of Linear and Ring Rouse Chains Undergoing Reversible End-Association and Dissociation
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DOI：
10.1021/acs.macromol.6b00424
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发表时间：
2016-04
期刊：
影响因子：
5.5
通讯作者：
Y. Kwon;Yumi Matsumiya;H. Watanabe
中科院分区：
文献类型：
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作者：
Y. Kwon;Yumi Matsumiya;H. Watanabe
对于线性和环状的遥爪Rouse链，在可逆的末端缔合和解离过程中，得到了子链（或链段）键矢量u[c]（n，t）的时间（t）演化方程，其中n为子链指数，上标c表示链（线性和环状链的c = L和R）.线性链的末端缔合（即，环形成）仅在线性链的末端非常接近时发生。由于环形成的这种约束，线性链的u[L]（n，t）的时间演化方程用概念上新的两步展开法来表述：u[L]（n，t）首先关于其正弦Rouse本征函数sin（pπn/N）展开，其中p =整数，N是每条链的子链数目，然后将奇正弦模序列关于环链的余弦本征函数cos（2απn/N）（α =整数）重新展开，以考虑该约束。这种配方允许…
For dilute telechelic linear and ring Rouse chains undergoing reversible end-association and dissociation, the time (t) evolution equation was analytically formulated for the bond vector of the subchain (or segment), u[c](n,t) with n being the subchain index and the superscript c specifying the chain (c = L and R for the linear and ring chains). The end-association of the linear chain (i.e., ring formation) occurs only when the ends of the linear chain come into close proximity. Because of this constraint for the ring formation, the time evolution equation for u[L](n,t) of the linear chain was formulated with a conceptually new, two-step expansion method: u[L](n,t) was first expanded with respect to its sinusoidal Rouse eigenfunction, sin(pπn/N) with p = integer and N being the number of subchains per chain, and then the series of odd sine modes is re-expanded with respect to cosine eigenfunctions of the ring chain, cos(2απn/N) with α = integer, so as to account for that constraint. This formulation allow...