论文标题
共聚物模板定向的生长
Template-directed growth of copolymers
论文作者
论文摘要
通过考虑到多个激活状态的可能性，而不是用于增长过程的单个激活状态的可能性，通过将基于迭代函数系统扩展到矩阵的方法来开发多层模板定向的可逆共聚的理论。在这个扩展的理论中，平均生长速度是通过迭代矩阵功能系统获得的，共聚物序列的概率由沿模板定义的矩阵产物给出。该理论使我们能够理解模板异质性的影响，其中包括局部生长速度的分形分布与平衡的距离足够远，以及在接近平衡的时间内具有sublinear速度的制度。
The theory of multistate template-directed reversible copolymerization is developed by extending the method based on iterated function systems to matrices, taking into account the possibility of multiple activation states instead of a single one for the growth process. In this extended theory, the mean growth velocity is obtained with an iterated matrix function system and the probabilities of copolymer sequences are given by matrix products defined along the template. The theory allows us to understand the effects of template heterogeneity, which include a fractal distribution of local growth velocities far enough from equilibrium, and a regime of sublinear growth in time close to equilibrium.
