标题： 晶格弹簧和质量链模型中的拉伸指数应力动力学：分析结果和MD模拟 显示英文标题

标题： Stretched-exponential stress dynamics in chain of springs and masses model of crystals: analytical results and MD simulations

摘要： 链式弹簧和质量模型（CSM），起源于Schrödinger（1914）和Pater（1974）的工作，被发现适用于取向FCC晶体层动力学的分析描述。 对该模型的分析扩展已针对施加于样品表面的线性时间斜坡压力的情况进行了开发。 提供了分子动力学（MD）模拟的例子，证实了该模型在描述钢310S在压力下的动态效应中的有用性。 我们对几种其他中等熵合金也得到了定性相同的结果，包括CoNiCr（使用EAM和MEAM原子间势），以及CoNiV（使用MEAM势）。 对于大尺寸样品和长时间的动态稳定性研究，之前提出的表格样式谐波层间势已被使用。 MD模拟的结果表明，完美有序物质的CSM模型的动力学由拉伸指数时间函数描述，并且在时间和样品尺寸上具有简单的标度关系。 显示英文摘要

摘要： The model of a chain of springs and masses (CSM), originating from the works of Schr\"odinger (1914), and Pater (1974), is found suitable as an analytical description of the dynamics of layers in orientated FCC crystals. An analytical extension of that model has been developed for the case of linear-in-time ramp pressure applied to a sample surface. Examples are provided of molecular dynamics (MD) simulations, confirming the usefulness of the model in the description of dynamic effects on steel 310S under pressure. Qualitatively the same results have been obtained by us for several other medium-entropy alloys CoNiCr (with EAM and MEAM inter-atomic potentials), and CoNiV (with MEAM potential). For studies of dynamic stability on large sizes of samples and for long times, the proposed earlier table-style harmonic interlayer potential has been used. The results of MD simulations suggest that the dynamics of the CSM model of perfectly ordered matter is described by stretched-exponential time functions, and it is characterised by simple scaling relations in time and size of the sample.