非晶态固体的产率：能源格局中的蚂蚁实验室
Yield in Amorphous Solids: The Ant in the Energy Landscape Labyrinth
摘要：
最近的研究表明，非晶态固体在振荡剪切作用下的屈服是一个从渐近周期到渐近混沌扩散动力学的动力学转变。然而，这种转变的类型和普遍性等级仍然未定。在这里，我们表明，包括一个非晶态固体的颗粒的坐标矢量的扩散行为时，受到振荡剪切，是类似于一个粒子扩散在一个扩散的晶格，所谓的“蚂蚁在迷宫”的问题，而产量对应于在晶格中的渗滤过渡。我们解释这是一个过渡的能量景观的连接，这会影响相空间区域的坐标矢量为一个给定的最大应变振幅。这一转变为观测到的极限环、周期大于1和屈服时时间尺度的发散提供了一个自然的解释。
英文摘要：
It has recently been shown that yield in amorphous solids under oscillatory shear is a dynamical transition from asymptotically periodic to asymptotically chaotic, diffusive dynamics. However, the type and universality class of this transition are still undecided. Here we show that the diffusive behavior of the vector of coordinates of the particles comprising an amorphous solid when subject to oscillatory shear, is analogous to that of a particle diffusing in a percolating lattice, the so-called "ant in the labyrinth" problem, and that yield corresponds to a percolation transition in the lattice. We explain this as a transition in the connectivity of the energy landscape, which affects the phase-space regions accessible to the coordinate vector for a given maximal strain amplitude. This transition provides a natural explanation to the observed limit-cycles, periods larger than one and diverging time-scales at yield.
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