受扰二维Lennard-Jones晶体的集体动力学和破碎
Collective dynamics and shattering of disturbed two-dimensional Lennard-Jones crystals
摘要：
阐明晶体系统中的集体动力学是多个领域的共同科学问题。本文采用高精度数值方法和解析简正模分析相结合的方法，系统地研究了二维Lennard-Jones晶体作为纯经典力学系统在变强度随机扰动下的动力学响应，揭示了丰富的微观动力学。具体地说，我们观察到高度对称的速度场组成的急剧划分的相干和无序区域，并确定有序-无序动力学转变的速度场。在更强的扰动下，我们揭示了空位驱动的晶体破碎。这种特征的中断模式是从根本上不同的位错解约束的情况下，在二维熔化。我们还研究了与不同大小的空缺相关的愈合动力学。这项工作的结果推进了我们对集体动力学和晶体破裂形成的理解，并可能对阐明许多晶体系统中的相关非平衡行为产生影响。
英文摘要：
Elucidating collective dynamics in crystalline systems is a common scientific question in multiple fields. In this work, by combination of high-precision numerical approach and analytical normal mode analysis, we systematically investigate the dynamical response of two-dimensional Lennard-Jones crystal as a purely classical mechanical system under random disturbance of varying strength, and reveal rich microscopic dynamics. Specifically, we observe highly symmetric velocity field composed of sharply divided coherent and disordered regions, and identify the order-disorder dynamical transition of the velocity field. Under stronger disturbance, we reveal the vacancy-driven shattering of the crystal. This featured disruption mode is fundamentally different from the dislocation-unbinding scenario in two-dimensional melting. We also examine the healing dynamics associated with vacancies of varying size. The results in this work advance our understanding about the formation of collective dynamics and crystal disruption, and may have implications in elucidating relevant non-equilibrium behaviors in a host of crystalline systems.
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