Relaxation of a Single Dendrimer
Relaxation of a Single Dendrimer
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DOI：
10.7566/jpsj.82.064801
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发表时间：
2013-05
影响因子：
1.7
通讯作者：
Nobuyuki Iwaoka;H. Takano
中科院分区：
文献类型：
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作者：
Nobuyuki Iwaoka;H. Takano
在自由排水极限下，研究了单一树枝状大分子在排除体积效应后的弛豫过程，考察了表征树枝状大分子结构的各种参数，即中心链段官能度fc，支化链段官能度f代数G和分支链段P之间的每个间隔基中的键数。通过假设树枝状聚合物从最外代数到最外代数分层松弛，在间隔子弛豫后的中心段，导出了最长弛豫时间τ1的标度律τ1 <$fc1-v {（f-1）f1-v}G-1 P2 v +1，其中v <$0.588为Flory指数。本文还导出了其它反对称弛豫模弛豫时间的标度律。为了验证的标度律，布朗动力学模拟的一个单一的树枝状大分子和松弛时间估计的松弛模式分析方法。标度弛豫时间τ1 /（fc 1-vP 2 v + 1）与{（f-1）f1-x }G-1成正比，其中指数.
Relaxation process of a single dendrimer with excluded volume effects is studied in the free-draining limit for various parameters characterizing the architecture of the dendrimer, which are the functionality of central segment fc, the functionality of branching segments f, the number of generations G and the number of bonds in each spacer between branching segments P. By assuming that the dendrimer relaxes hierarchically from the outermost generation to the central segment after relaxation of the spacers, a scaling law τ1 ∼fc1-ν {(f-1)f1-ν }G-1 P2ν+1 for the longest relaxation time τ1 is derived, where ν≈0.588 is the Flory exponent. Another scaling law for relaxation times of other antisymmetric relaxation modes is also derived. In order to verify the scaling laws, Brownian dynamics simulations of a single dendrimer are performed and relaxation times are estimated by the relaxation mode analysis method. The scaled relaxation time τ1 / (fc1-ν P2ν+ 1) is proportional to {(f-1)f1-x }G-1, where the exponent ...