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arXiv 1509.04487cond-mat.mtrl-sci
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用非平衡从头计算分子动力学精确测定晶格-空位扩散系数

Efficient and accurate determination of lattice-vacancy diffusion coefficients via non equilibrium ab initio molecular dynamics

Davide G. Sangiovanni, Olle Hellman, Björn Alling, Igor A. Abrikosov

摘要:

我们重新审视颜色扩散算法[P.C. Aeberhard等人,物理修订版信函108,095901(2012)]中的非平衡从头算分子动力学(NE-AIMD),并提出了一种简单有效的方法,用于在远低于熔化的温度下估计结晶固体中的单空位跳跃速率。应用于单空位迁移的色扩散需要一个晶格原子(有色原子)通过外部恒定力F向邻近缺陷位置加速。考虑bcc钼在1000和2800 K之间作为一个模型系统,NE-AIMD的结果表明,着色原子跳跃率k_{NE}与力强度F呈指数增加,高达F值远远超出了以前采用的线性拟合制度。利用一个简单的模型,我们导出了一个解析表达式,它再现了所观察到的k_{NE}(F)对F的依赖性。NE-AIMD结果外推的平衡速率与无约束动力学的平衡速率非常一致。我们的方法实现的计算效率的增益随着温度的降低而迅速增加,并在本研究中考虑的最低温度下达到四个数量级的因子。

英文摘要:

We revisit the color-diffusion algorithm [P. C. Aeberhard et al., Phys. Rev. Lett. 108, 095901 (2012)] in nonequilibrium ab initio molecular dynamics (NE-AIMD), and propose a simple efficient approach for the estimation of monovacancy jump rates in crystalline solids at temperatures well below melting. Color-diffusion applied to monovacancy migration entails that one lattice atom (colored-atom) is accelerated toward the neighboring defect-site by an external constant force F. Considering bcc molybdenum between 1000 and 2800 K as a model system, NE-AIMD results show that the colored-atom jump rate k_{NE} increases exponentially with the force intensity F, up to F values far beyond the linear-fitting regime employed previously. Using a simple model, we derive an analytical expression which reproduces the observed k_{NE}(F) dependence on F. Equilibrium rates extrapolated by NE-AIMD results are in excellent agreement with those of unconstrained dynamics. The gain in computational efficiency achieved with our approach increases rapidly with decreasing temperatures, and reaches a factor of four orders of magnitude at the lowest temperature considered in the present study.

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