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arXiv 1503.06565cond-mat.mes-hallcond-mat.mtrl-sciphysics.comp-ph
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分子动力学模拟中多体势的力流和热流公式及其在热导率计算中的应用

Force and heat current formulas for many-body potentials in molecular dynamics simulation with applications to thermal conductivity calculations

Zheyong Fan, Luiz Felipe C. Pereira, Hui-Qiong Wang, Jin-Cheng Zheng, Davide Donadio, Ari Harju

摘要:

我们推导了多体势如Tersoff势、Brenner势和Stillinger-Weber势的原子间力和热流的表达式,这些势广泛应用于共价键合材料的分子动力学模拟。虽然这些势具有多体性质,但遵循牛顿第三定律的成对力表达式可以在不涉及势的任何分区的情况下找到。基于该力公式,可以明确地定义适用于周期系统的应力。力的公式,然后可以用来推导热流公式使用自然电位分割。我们的热流公式被发现是相当于大多数的看似不同的热流公式在文献中使用,但偏离应力为基础的公式来自两体势。我们验证我们的配方数值上描述的Tersoff势,即三维硅和金刚石,二维石墨烯,和准一维碳纳米管的各种系统。在模拟中使用的细胞大小和时间的影响进行了检查。

英文摘要:

We derive expressions of interatomic force and heat current for many-body potentials such as the Tersoff, the Brenner, and the Stillinger-Weber potential used extensively in molecular dynamics simulations of covalently bonded materials. Although these potentials have a many-body nature, a pairwise force expression that follows Newton's third law can be found without referring to any partition of the potential. Based on this force formula, a stress applicable for periodic systems can be unambiguously defined. The force formula can then be used to derive the heat current formulas using a natural potential partitioning. Our heat current formulation is found to be equivalent to most of the seemingly different heat current formulas used in the literature, but to deviate from the stress-based formula derived from two-body potential. We validate our formulation numerically on various systems descried by the Tersoff potential, namely three-dimensional silicon and diamond, two-dimensional graphene, and quasi-one-dimensional carbon nanotube. The effects of cell size and time used in the simulation are examined.

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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