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Thermodynamic and structural properties of mixed colloids represented by a hard-core two-Yukawa mixture model fluid: Monte Carlo simulations and an analytical theory

机译:以硬核二汤川混合模型流体为代表的混合胶体的热力学和结构性质:蒙特卡罗模拟和解析理论

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The interaction between colloidal particles is well represented by a hard-core two-Yukawa potential. In order to assess the accuracy of theoretical predictions for the thermodynamic and structural properties of mixed colloids, standard Monte Carlo simulations are carried out for the hard-core two-Yukawa mixtures. In the simulations, one range parameter in the two-Yukawa potential is taken as 1.8 or 2.8647, and another is taken as 4, 8, or 13.5485. Both attractive and repulsive dominant cases of the potential outside the hard core are considered. The effects of temperature, density, composition, size and energy parameter ratios on internal energy, compressibility factor, and radial distribution function are investigated extensively. Theoretical calculations are performed in the framework of analytical solution for the Ornstein-Zernike equation with the first-order mean spherical approximation (FMSA). Our analysis shows that the FMSA is very accurate for the prediction of the compressibility factor of the hard-core two-Yukawa mixtures at all conditions studied. The FMSA generally predicts accurate internal energy, but overestimates the internal energy of the systems at lower temperatures. Furthermore, we found that a simplified exponential version of the FMSA predicts fairly good radial distribution function at contact for the mixed two-Yukawa fluids. The comparison of the theoretical compressibility factor with that from the Monte Carlo simulations suggests that the FMSA can be used to investigate the fluid-fluid equilibria of hard-core two-Yukawa mixtures. (c) 2008 American Institute of Physics.
机译:胶体颗粒之间的相互作用以硬核两个汤川势很好地表示。为了评估混合胶体的热力学和结构性质的理论预测的准确性,对硬核二汤川混合物进行了标准的蒙特卡洛模拟。在仿真中,两个汤川势中的一个范围参数取为1.8或2.8647,另一个取为4、8或13.5485。硬核外部潜在的吸引力和排斥优势案例都被考虑。广泛研究了温度,密度,组成,尺寸和能量参数比率对内部能量,可压缩性因子和径向分布函数的影响。在具有一阶平均球面近似(FMSA)的Ornstein-Zernike方程的解析解的框架内进行理论计算。我们的分析表明,在所有研究条件下,FMSA都能非常准确地预测硬核二汤川混合物的压缩系数。 FMSA通常会预测准确的内部能量,但是会在较低温度下高估系统的内部能量。此外,我们发现,简化的指数形式的FMSA可以预测混合的两个Yukawa流体在接触时具有相当好的径向分布函数。理论压缩系数与蒙特卡洛模拟的可压缩系数的比较表明,FMSA可用于研究硬核两汤川混合物的流体-流体平衡。 (c)2008年美国物理研究所。

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