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arXiv 1502.00428cond-mat.soft
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polymer - colloid混合物单点粗粒模型的积分方程分析

Integral-equation analysis of single-site coarse-grained models for polymer-colloid mixtures

Roberto Menichetti, Andrea Pelissetto, Giuseppe D'Adamo, Carlo Pierleoni

摘要:

我们讨论的可靠性积分方程方法的基础上,几个常用的封闭关系,在确定的软物质系统的特征在于相互作用的软,硬核粒子的粗粒度模型的相图。具体来说,我们考虑一组合适的电位来描述一个系统的硬球胶体和线性均聚物在良好的溶剂,并调查的行为时,软颗粒小于胶体,这是制度的有效性粗粒度模型。使用计算机模拟结果作为基准,我们发现,超网链近似提供了准确的估计的热力学和结构的胶体-气相中的胶体的密度是小的。另一方面,所有考虑的封闭似乎是无法描述的行为的混合物在胶体-液相中,因为它们停止收敛的聚合物密度显着小于那些在双结点。因此,积分方程似乎无法预测定量正确的相图。

英文摘要:

We discuss the reliability of integral-equation methods based on several commonly used closure relations in determining the phase diagram of coarse-grained models of soft-matter systems characterized by mutually interacting soft and hard-core particles. Specifically, we consider a set of potentials appropriate to describe a system of hard-sphere colloids and linear homopolymers in good solvent, and investigate the behavior when the soft particles are smaller than the colloids, which is the regime of validity of the coarse-grained models. Using computer-simulation results as a benchmark, we find that the hypernetted-chain approximation provides accurate estimates of thermodynamics and structure in the colloid-gas phase in which the density of colloids is small. On the other hand, all closures considered appear to be unable to describe the behavior of the mixture in the colloid-liquid phase, as they cease to converge at polymer densities significantly smaller than those at the binodal. As a consequence, integral equations appear to be unable to predict a quantitatively correct phase diagram.

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