论文标题
通过振动磁盘包装中的自发对称性破裂的旋转运输
Rotational transport via spontaneous symmetry breaking in vibrated disk packings
论文作者
论文摘要
结果表明，摩擦磁盘的振动包装自我组织会在旋转传输状态下合作，其中每个磁盘$ i $的长期角速度$ \barΩ_i$均为非零。稳定的旋转是由局部反射对称性的自发断裂介导的，当圆盘被邻居限制的笼子限制时，会在大包装密度下获得淬灭的疾病。对这种意外现象的实验和数值模拟彼此表现出极好的一致性，揭示了两个旋转相作为激发强度的函数，分别是低驱动（LDR）和中等驱动（MDR）状态。在LDR中，IDSIST触点是持久的，并且由于摩擦滑动而发生旋转。在MDR中，磁盘相互反弹，仍形成固相。在LDR中，提供了简单的能量消散参数，以支持观察到的典型旋转速度对激发强度的依赖性。
It is shown that vibrated packings of frictional disks self-organize cooperatively onto a rotational-transport state where the long-time angular velocity $\barω_i$ of each disk $i$ is nonzero. Steady rotation is mediated by the spontaneous breaking of local reflection symmetry, arising when the cages in which disks are constrained by their neighbors acquire quenched disorder at large packing densities. Experiments and numerical simulation of this unexpected phenomenon show excellent agreement with each other, revealing two rotational phases as a function of excitation intensity, respectively the low-drive (LDR) and the moderate-drive (MDR) regimes. In the LDR, interdisk contacts are persistent and rotation happens due to frictional sliding. In the MDR, disks bounce against each other, still forming a solid phase. In the LDR, simple energy-dissipation arguments are provided, that support the observed dependence of the typical rotational velocity on excitation strength.
