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A Markov state modeling analysis of sliding dynamics of a 2D model

机译:2D模型滑动动力学的马尔可夫状态模型分析

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Non-equilibrium Markov State Modeling (MSM) has recently been proposed by Pellegrini et al. [Phys. Rev. E 94, 053001 (2016)] as a possible route to construct a physical theory of sliding friction from a long steady state atomistic simulation: the approach builds a small set of collective variables, which obey a transition-matrix-based equation of motion, faithfully describing the slow motions of the system. A crucial question is whether this approach can be extended from the original 1D small size demo to larger and more realistic size systems, without an inordinate increase of the number and complexity of the collective variables. Here we present a direct application of the MSM scheme to the sliding of an island made of over 1000 harmonically bound particles over a 2D periodic potential. Based on a totally unprejudiced phase space metric and without requiring any special doctoring, we find that here too the scheme allows extracting a very small number of slow variables, necessary and sufficient to describe the dynamics of island sliding. Published by AIP Publishing.
机译:非平衡状态马尔可夫模型(MSM)最近已经提出了佩莱格里尼等人。 [物理。启ë94,053001(2016)〕作为一种可能的路线来构造从长稳态原子模拟滑动摩擦的物理理论:方法建立的小集合的集体变量,服从的基于过渡矩阵方程的运动,忠实地描述了系统的缓慢运动。一个关键的问题是,是否这种方式可以从原来的一维小型演示,以更大,更现实的大小系统进行扩展,而集体变量的数量和复杂性的过多增长。在这里,我们目前的MSM方案直接应用在2D周期势取得了1000和声结合颗粒的岛屿的滑动。基于一个完全不带偏见的相空间的度量和无需任何特殊的刮刀,我们发现,这里也该方案允许提取极少数慢变量,必要和充分的描述岛滑动的动力。通过AIP发布发布。

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