论文标题
在周期性障碍阵列上周期性驱动磁盘的不可逆转过渡可逆的过渡
Reversible to Irreversible Transitions for Cyclically Driven Disks on Periodic Obstacle Arrays
论文作者
论文摘要
我们检查了圆盘的集体动力学在循环方波驾驶下移动的障碍物阵列。在关键密度以下，我们发现系统将组织到可逆状态，在该状态下，磁盘在每个驱动周期结束时都返回相同的位置。在此密度之上，动力学是不可逆的，并且磁盘在每个周期后不会返回相同的位置。 The critical density depends strongly on the angle $θ$ between the driving direction and a symmetry axis of the obstacle array, with the highest critical densities appearing at commensurate angles such as $θ=0^\circ$ and $θ=45^\circ$ and the lowest critical densities falling at $θ= \arctan(0.618)$, the inverse of the golden ratio, where the flow is the most 沮丧的。随着密度的增加，达到可逆状态所需的周期数量随着指数接近$ν= 1.36 $的功率定律而增长，类似于定期驱动的胶体和超导涡流系统中发现的。
We examine the collective dynamics of disks moving through a square array of obstacles under cyclic square wave driving. Below a critical density we find that system organizes into a reversible state in which the disks return to the same positions at the end of every drive cycle. Above this density, the dynamics are irreversible and the disks do not return to the same positions after each cycle. The critical density depends strongly on the angle $θ$ between the driving direction and a symmetry axis of the obstacle array, with the highest critical densities appearing at commensurate angles such as $θ=0^\circ$ and $θ=45^\circ$ and the lowest critical densities falling at $θ= \arctan(0.618)$, the inverse of the golden ratio, where the flow is the most frustrated. As the density increases, the number of cycles required to reach a reversible state grows as a power law with an exponent near $ν=1.36$, similar to what is found in periodically driven colloidal and superconducting vortex systems.
