arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2402.09348cond-mat.stat-mechcond-mat.softphysics.chem-ph
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关于MD模拟中扩散系数的系统尺寸依赖性:适用于纯稠密流体的简单校正公式

On the system size dependence of the diffusion coefficients in MD simulations: A simple correction formula for pure dense fluids

Sergey Khrapak

AI总结:

本文提出并验证了一个实用校正公式,用于将周期性边界条件下纯稠密流体MD模拟的自扩散系数转换为热力学极限下的值,其形式简单且对立方几何形状具有普适性。

摘要:

本文讨论了一个实用的校正公式,该公式将周期性边界条件下分子动力学模拟得到的稠密液体自扩散系数与热力学极限下的自扩散系数联系起来。该公式适用于纯稠密流体,形式非常简单:$D=D_0(1-γN^{-1/3})$,其中 $D_0$ 是热力学极限下的自扩散系数,$N$ 是模拟中的粒子数。数值因子 $γ$ 取决于模拟单元的几何形状。值得注意的是,对于最常用的立方几何形状,$γ\simeq 1.0$。该公式的成功得到了MD模拟结果的支持,包括最近使用“神奇”模拟几何形状进行的模拟。

英文摘要:

A practical correction formula relating the self-diffusion coefficient of dense liquids from molecular dynamics simulations with periodic boundary conditions to the self-diffusion coefficient in the thermodynamic limit is discussed. This formula applies to pure dense fluids and has a very simple form $D=D_0(1-γN^{-1/3})$, where $D_0$ is the self-diffusion coefficient in the thermodynamic limit and $N$ is the number of particles in the simulation. The numerical factor $γ$ depends on the geometry of the simulation cell. Remarkably, $γ\simeq 1.0$ for the most popular cubic geometry. The success of this formula is supported by results from MD simulations, including very recent simulations with a ``magic'' simulation geometry.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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