Bryk P, Sokołowski S
Department for the Modeling of Physico-Chemical Processes, Maria Curie-Skłodowska University, 0-031 Lublin, Poland.
J Chem Phys. 2004 May 1;120(17):8299-306. doi: 10.1063/1.1695554.
A microscopic density functional theory is used to investigate a binary mixture of polymers, built of freely jointed tangent hard spheres. The difference in the chain length and in the segment diameter of polymers gives rise to a demixing transition. We evaluate the bulk fluid phase equilibria (binodal) and the limit of stability of a mixed state (spinodal) for selected systems, and analyze the decay of the critical packing fraction, critical mole fraction, and critical pressure with an increase of the chain length. The bulk results are subsequently used in the calculations of the density profiles across the fluid-fluid interface. The obtained profiles are smooth and do not exhibit any oscillations on the length scale of the segment diameter. Upon approaching the critical point the interfacial tension vanishes as (Deltarho)3, where Deltarho is the difference between bulk densities of one component in bulk phases rich and poor in that species. This indicates that the microscopic density functional theory applied here is of a mean-field type.
采用微观密度泛函理论研究由自由连接的切向硬球构成的聚合物二元混合物。聚合物链长和链段直径的差异导致了相分离转变。我们评估了选定体系的体相流体相平衡(双节线)和混合态稳定性极限(旋节线),并分析了临界堆积分数、临界摩尔分数和临界压力随链长增加的衰减情况。随后将体相结果用于计算流体 - 流体界面处的密度分布。所得到的分布是平滑的,在链段直径的长度尺度上没有表现出任何振荡。接近临界点时,界面张力按(Δρ)³消失,其中Δρ是该物种在富相和贫相体相中的一种组分的体相密度之差。这表明这里应用的微观密度泛函理论属于平均场类型。