Institute of Biochemical Physics, Kossygina Street 4, 119334 Moscow, Russia.
J Chem Phys. 2009 Nov 7;131(17):174111. doi: 10.1063/1.3257736.
New graphical algorithm is proposed to find vertex functions which are the coefficients of expansion of the Landau free energy of polydisperse multigraft copolymers whose macromolecules comprise an arbitrary number of types of side chains. This algorithm imposes no restriction on length distributions of side chains in copolymer macromolecules as well as on distribution of distances between two successive grafting points along the backbone. By way of example, with this algorithm the expressions for the second, third, and fourth order contributions into the free energy have been derived. The obtained results can be used for construction of the phase diagrams of polydisperse multigraft copolymers.
提出了一种新的图形算法，用于寻找顶点函数，这些函数是多支接共聚物的朗道自由能展开的系数，其大分子由任意数量类型的侧链组成。该算法对共聚物大分子中侧链的长度分布以及沿主链的两个连续接枝点之间的距离分布没有限制。作为示例，使用该算法推导出了自由能的二阶、三阶和四阶贡献的表达式。所得到的结果可用于构建多支接共聚物的相图。
