Cyclization kinetics of Gaussian semiflexible polymer chains.
Cyclization kinetics of Gaussian semiflexible polymer chains.
复制标题
DOI：
10.1103/physreve.90.052601
复制
发表时间：
2014-11
期刊：
影响因子：
--
通讯作者：
T. Guerin;M. Dolgushev;O. Bénichou;R. Voituriez;A. Blumen
中科院分区：
文献类型：
--
作者：
T. Guerin;M. Dolgushev;O. Bénichou;R. Voituriez;A. Blumen
我们考虑高斯半柔性链的动力学和环化动力学，其中相互作用势倾向于排列连续的键。我们提供的环化时间，本征值和本征函数，并在所有的时间和长度尺度的均方位移的渐近表达式，明确依赖于捕获半径，在链中的反应单体的位置，和有限数量的珠子。对于环化动力学，我们考虑到非马尔可夫效应通过计算的聚合物，这是不考虑在经典的Wilemski-Fixman理论的反应构象的分布。与数值模拟的比较证实了这种非马尔可夫理论的准确性。
We consider the dynamics and the cyclization kinetics of Gaussian semiflexible chains, in which the interaction potential tends to align successive bonds. We provide asymptotic expressions for the cyclization time, for the eigenvalues and eigenfunctions, and for the mean square displacement at all time and length scales, with explicit dependence on the capture radius, on the positions of the reactive monomers in the chain, and on the finite number of beads. For the cyclization kinetics, we take into account non-Markovian effects by calculating the distribution of reactive conformations of the polymer, which are not taken into account in the classical Wilemski-Fixman theory. Comparison with numerical simulations confirms the accuracy of this non-Markovian theory.