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arXiv 2202.05384cond-mat.softcond-mat.stat-mech
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循环驱动圆盘在周期障碍阵列上的可逆到不可逆转变

Reversible to Irreversible Transitions for Cyclically Driven Disks on Periodic Obstacle Arrays

C. Reichhardt, C. J. O. Reichhardt

AI总结:

本研究探讨循环驱动下圆盘在障碍阵列中的可逆-不可逆转变,发现临界密度依赖驱动角度,且达到可逆状态的周期数呈幂律增长。

摘要:

我们研究了在循环方波驱动下,圆盘在方形障碍物阵列中运动的集体动力学。在低于临界密度时,我们发现系统组织成可逆状态,其中圆盘在每个驱动周期结束时返回到相同位置。高于该密度时,动力学变得不可逆,圆盘在每个周期后不会返回到相同位置。临界密度强烈依赖于驱动方向与障碍物阵列对称轴之间的角度 $θ$,最高临界密度出现在相称角度,如 $θ=0^\circ$ 和 $θ=45^\circ$,而最低临界密度出现在 $θ= \arctan(0.618)$,即黄金比例的倒数,此时流动最受阻碍。随着密度增加,达到可逆状态所需的周期数以幂律增长,指数接近 $ν=1.36$,类似于周期性驱动的胶体和超导涡旋系统中发现的情况。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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