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arXiv 2602.14867cond-mat.mtrl-scics.LG
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快速且准确的准原子方法用于固体的同时原子和连续模拟

Fast and accurate quasi-atom method for simultaneous atomistic and continuum simulation of solids

Skolkovo Institute of Science and Technology(斯克尔科沃科学与技术研究所);Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences B. Gruzinskaya str., 10, bld. 1, Moscow, 123242, Russia(俄罗斯科学院地球物理施密特研究所);School of Computing and Mathematical Sciences(计算与数学科学学院);University of Leicester(莱斯特大学)

Artem Chuprov, Egor E. Nuzhin, Alexey A. Tsukanov, Nikolay V. Brilliantov

AI总结:

本文提出了一种快速且准确的准原子方法,用于同时进行固体的原子和连续模拟,通过优化准原子相互作用势参数,实现高效计算并验证其在速度和精度上的优势。

摘要:

我们报告了一种新的混合方法,用于对固体临界区域(接触表面、裂纹区域等)进行同时原子模拟,同时对其他部分进行连续建模。连续介质被视为由不同大小的准原子组成的复合介质。准原子之间相互作用势的参数被优化,以使复合介质的弹性质与原子性质相匹配。优化方法在概念上与在线机器学习(ML)方法一致,使其计算非常高效。这种方法允许直接应用标准分子动力学(MD)软件包,辅以基于ML的优化器。新方法应用于具有简单双体Lennard-Jones势能的系统,以及描述共价键的多体Tersoff势能。使用LAMMPS软件模拟不同大小粒子的碰撞。通过将新方法获得的模拟结果与全原子模拟结果进行比较,我们证明了其准确性、有效性和计算速度上的巨大优势。此外,我们还比较了我们的方法与其他混合方法,特别是最接近的AtC(原子到连续)方法。我们证明了我们的方法在计算速度和实现便利性方面的显著优势。最后,我们讨论了该方法可能扩展用于模拟其他现象的可能。

英文摘要:

We report a novel hybrid method of simultaneous atomistic simulation of solids in critical regions (contacts surfaces, cracks areas, etc.), along with continuum modeling of other parts. The continuum is treated in terms of quasi-atoms of different size, comprising composite medium. The parameters of interaction potential between the quasi-atoms are optimized to match elastic properties of the composite medium to those of the atomic one. The optimization method coincides conceptually with the online Machine Learning (ML) methods, making it computationally very efficient. Such an approach allows a straightforward application of standard software packages for molecular dynamics (MD), supplemented by the ML-based optimizer. The new method is applied to model systems with a simple, pairwise Lennard-Jones potential, as well with multi-body Tersoff potential, describing covalent bonds. Using LAMMPS software we simulate collision of particles of different size. Comparing simulation results, obtained by the novel method, with full-atomic simulations, we demonstrate its accuracy, validity and overwhelming superiority in computational speed. Furthermore, we compare our method with other hybrid methods, specifically, with the closest one -- AtC (Atomic to Continuum) method. We demonstrate a significant superiority of our approach in computational speed and implementation convenience. Finally, we discuss a possible extension of the method for modeling other phenomena.

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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