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Finite-Size Effects of Binary Mutual Diffusion Coefficientsfrom Molecular Dynamics

机译:二元互扩散系数的有限尺寸效应来自分子动力学

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摘要

Molecular dynamics simulations were performed for the prediction of the finite-size effects of Maxwell-Stefan diffusion coefficients of molecular mixtures and a wide variety of binary Lennard–Jones systems. A strong dependency of computed diffusivities on the system size was observed. Computed diffusivities were found to increase with the number of molecules. We propose a correction for the extrapolation of Maxwell–Stefan diffusion coefficients to the thermodynamic limit, based on the study by Yeh and Hummer (J. Phys. Chem. B, 2004, 108, 15873−15879 []). The proposed correction is a function of the viscosity of the system, the size of the simulation box, and the thermodynamic factor, which is a measure for the nonideality of the mixture. Verification is carried out for more than 200 distinct binary Lennard–Jones systems, as well as 9 binary systems of methanol, water, ethanol, acetone, methylamine, and carbon tetrachloride. Significant deviations between finite-size Maxwell–Stefan diffusivities and the corresponding diffusivities at the thermodynamic limit were found for mixtures close to demixing. In these cases, the finite-size correction can be evenlarger than the simulated (finite-size) Maxwell–Stefan diffusivity.Our results show that considering these finite-size effects is crucialand that the suggested correction allows for reliable computations.
机译:进行了分子动力学模拟,以预测分子混合物和多种二元Lennard-Jones系统的Maxwell-Stefan扩散系数的有限尺寸效应。观察到计算扩散率对系统大小的强烈依赖性。发现计算的扩散性随分子数目的增加而增加。我们根据叶和悍马(J. Phys。Chem。B,2004,108,15873-15879 [])的研究,建议将麦克斯韦-斯特凡扩散系数外推到热力学极限。提议的校正是系统粘度,模拟盒尺寸和热力学因数的函数,热力学因数是混合物非理想性的量度。对200多种不同的Lennard-Jones二元系统以及9种甲醇,水,乙醇,丙酮,甲胺和四氯化碳二元系统进行了验证。对于接近分解的混合物,发现了有限尺寸的麦克斯韦-斯特凡扩散系数与热力学极限处的相应扩散系数之间的显着偏差。在这种情况下,有限尺寸的校正甚至可以大于模拟的(有限尺寸)麦克斯韦-斯特凡扩散系数。我们的结果表明,考虑这些有限大小的影响至关重要并且建议的更正允许可靠的计算。

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