多分散链的熵：Husimi格点上的解
Entropy of polydisperse chains: solution on the Husimi lattice
摘要：
本文研究了格点上多分散链的熵。特别是，我们研究了一个模型的平衡聚合，其中的多分散性是由两个活动，内部和端点的链单体。我们解决这个问题，正是在一个Husimi晶格与广场和任意的协调数，获得的熵作为一个函数的单体的密度和平均分子量的链。我们比较这个熵的单分散的情况下，并发现，由于多分散性的熵的过剩是相同的一维情况下获得的。最后，我们得到了一个分布的分子量与一个相当复杂的行为，但它成为指数非常大的平均分子量的链，所需的缩放性能，应适用于此限制。
英文摘要：
We consider the entropy of polydisperse chains placed on a lattice. In particular, we study a model for equilibrium polymerization, where the polydispersivity is determined by two activities, for internal and endpoint monomers of a chain. We solve the problem exactly on a Husimi lattice built with squares and with arbitrary coordination number, obtaining an expression for the entropy as a function of the density of monomers and mean molecular weight of the chains. We compare this entropy with the one for the monodisperse case, and find that the excess of entropy due to polydispersivity is identical to the one obtained for the one-dimensional case. Finally, we obtain a distribution of molecular weights with a rather complex behavior, but which becomes exponential for very large mean molecular weight of the chains, as required by scaling properties which should apply in this limit.
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