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机器学习分子动力学中力误差的能量学

The energetics of force errors in machine-learned molecular dynamics

Peng Kang, Da Wan, Shulin Bai, Vincent Michaud-Rioux, Zhen Li, Yu Liu, Lei Zheng, Li-Dong Zhao

arXiv 2609.09251首次发表:更新:

发表机构

Beihang University; McGill University; Nanoacademic Technologies Inc.(北京航空航天大学; 麦吉尔大学; 纳米学术技术有限公司)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出方向性残余功系数,用于量化机器学习分子动力学中力误差的能量效应,并在锂电解质界面验证,为势评估提供物理基础。

AI 中文摘要

力误差的能量效应取决于原子运动。我们建立了一个方向性残余功系数,该系数将方向曲率失配与残余响应的空间分布相结合。对于在锚点处力匹配的保守势,该系数决定了在首次跨越小力误差预算时的前导符号功。在474原子锂-电解质界面处,在24个指定终点上,基于未来参考评估之前固定的预测与测量值的差异小于预测功的4.6%。在固定结构和初始总动能不变的情况下,仅改变初始速度方向即可逆转力-功排序。在相同的允许时间0.25飞秒下,一个方向的最大力残差大11.6%,但功少36.1%。这种逆转在第二个结构处再次出现。该框架将力容差与参考能量转移联系起来,为势评估和自适应参考分配提供了物理基础。

英文摘要

The energetic effect of a force error depends on atomic motion. We establish a directional residual-work coefficient combining directional curvature mismatch with the spatial distribution of the residual response. For conservative potentials force-matched at an anchor, it determines the leading signed work at the first crossing of a small force-error budget. At a 474-atom lithium-electrolyte interface, predictions fixed before future reference evaluations differ from measurements by less than 4.6% of predicted work across 24 prescribed endpoints. Changing only the initial velocity direction at fixed structure and initial total kinetic energy reverses the force-work ranking. At the same admitted time of 0.25 fs, one direction gives an 11.6% larger maximum force residual but 36.1% less work. The reversal recurs at a second structure. The framework connects force tolerances to reference-energy transfer, providing a physical basis for potential assessment and adaptive reference allocation.

Comments24 pages, 8 figures

论文原文

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