论文标题
在周期性瓷砖下，无序固体中零模式的出现
Emergence of zero modes in disordered solids under periodic tiling
论文作者
论文摘要
在具有周期性边界条件的粒子堆积的计算模型中，假定包装在所有可能的方向上都附着在自身的精确副本上。然后，边界的周期性要求所有粒子的图像一起移动。另一方面，无限重复的结构不一定具有此约束。结果，在周期性边界条件下，堵塞的填料（或刚性弹性网络）可能具有相应的无限重复重复的晶格表示，或者实际上甚至可能没有局部能量最小值。在本手稿中，我们证明了这一主张，并讨论了周期性边界条件成功地捕获重复结构物理和它们短缺的方式。
In computational models of particle packings with periodic boundary conditions, it is assumed that the packing is attached to exact copies of itself in all possible directions. The periodicity of the boundary then requires that all of the particles' images move together. An infinitely repeated structure, on the other hand, does not necessarily have this constraint. As a consequence, a jammed packing (or a rigid elastic network) under periodic boundary conditions may have a corresponding infinitely repeated lattice representation that is not rigid or indeed may not even be at a local energy minimum. In this manuscript, we prove this claim and discuss ways in which periodic boundary conditions succeed to capture the physics of repeated structures and where they fall short.
