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Lattice polymers with structured monomers: A Monte Carlo study of thermodynamic properties of melts and solutions

机译:具有结构单体的晶格聚合物:熔体和溶液热力学性质的蒙特卡洛研究

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摘要

The influence of monomer structure on the thermodynamic properties of polymer melts and solutions is explored in Monte Carlo computations. The internal energy, the specific heat, andthe chemical potential are determined for united atom lattice models of polyethylene, polypropylene, polyethylethylene, and polyisobutylene, all with M = 60 united atom groups. Computations are performed for a range of melt volume fractions 0<#PHI#<=0.7 and effective temperature 3.3<=T<=infinity. The results reveal fine differences between the internal energies of the four different melts (solutions) and a pronounced influence of monomer structure on the specific heat and the chemical potential. The computed thermodynamic quantities are confronted with the analytical results of the lattice cluster theory (LCT). It is shown that for most thermodynamic states the LCT correctly predicts the qualitative effect of monomer structure on the thermodynamic quantities. However, large errors observed in the LCT values for the specific heat, and a qualitative departure between simulation and theory for the difference between the internal energies of polyethylethylene and polyethylene, stress the need both for improvements in the analytical solution of the LCT and for further tests of its accuracy.
机译:在蒙特卡洛计算中探讨了单体结构对聚合物熔体和溶液热力学性质的影响。对于聚乙烯,聚丙烯,聚乙烯,聚异丁烯等均具有M = 60个联合原子基团的联合原子晶格模型,确定了内部能量,比热和化学势。针对一系列熔体体积分数0 <= PHI#<= 0.7和有效温度3.3 <= T <=无穷大进行计算。结果表明四种不同熔体(溶液)的内能之间存在细微差异,并且单体结构对比热和化学势的影响显着。计算的热力学量面临着晶格簇理论(LCT)的分析结果。结果表明,对于大多数热力学状态,LCT可以正确预测单体结构对热力学量的定性影响。但是,在比热的LCT值中观察到较大的误差,并且在模拟和理论之间就聚乙烯和聚乙烯的内部能之间的差异存在质的偏差,这既需要改进LCT的分析解决方案,又需要进一步改进测试其准确性。

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