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A mathematical model for the longest ethylene sequence distribution of random ethylene copolymers

机译：无规乙烯共聚物最长乙烯序列分布的数学模型

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摘要

In the first step to model Crystaf (R) curves, a mathematical expression psi has been derived to describe the longest ethylene sequence (LES) distribution of random binary (e.g., ethylene/alpha-olefin) copolymer chains. Based on this expression, a method Psi(polymer) has been developed to describe the LES-distribution of random copolymers. Comparisons of the LES-distribution of a random copolymer with polydispersity of 2, as calculated by Psi(polymer), with Monte Carlo simulation and with a method previously described in literature show that the derived mathematical expression psi is correct. This model allows for the description of the crystallizing temperature-distribution of polymers using the reported relation between crystallizing temperature and LES. It will also hold if the crystallizing temperature of a chain would depend on other chain properties next to its LES. Exactly this latter prospect will favor the use of the mathematical expression derived in this report, above the ones from the literature.
机译：在建模Crystaf（R）曲线的第一步中，已得出数学表达式psi，以描述无规二元（例如，乙烯/α-烯烃）共聚物链的最长乙烯序列（LES）分布。基于该表达式，开发了一种方法Psi（polymer）来描述无规共聚物的LES分布。通过Psi（聚合物）计算的多分散性为2的无规共聚物的LES分布与Monte Carlo模拟以及先前文献中描述的方法的比较表明，得出的数学表达式psi是正确的。该模型允许使用所报道的结晶温度与LES之间的关系来描述聚合物的结晶温度分布。如果一条链的结晶温度是否取决于其LES附近的其他链条性质，也将保持不变。确切地说，后一种前景将有利于使用本报告中的数学表达式，而不是文献中的数学表达式。

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