标题： 相位锁定和微粒集体动力学中的分数Shapiro步骤 显示英文标题

标题： Phase locking and fractional Shapiro steps in collective dynamics of microparticles

摘要： 在驱动的非线性系统中，相位锁定是一种引人入胜的现象，导致在控制参数的广阔范围内稳定的静止状态。 最近的实验使得能够探索微观机制，这些机制在微米和纳米粒子集体动力学中导致此类现象。 在这里，我们展示了在时间周期驱动下，密集填充的周期势中硬核相互作用微粒子的相位锁定动力学起源于运行的孤立团簇波。 我们解释了相位锁定电流的值如何与孤子速度相关，并为什么只有某些粒子直径的集体粒子动力学才会与驱动同步。 我们的分析基于孤子波传播的有效势和单位位移定律，该定律指出每个孤子周期内所有粒子位置的总平均位移等于周期势的一个波长。 显示英文摘要

摘要： In driven nonlinear systems, phase locking is an intriguing effect leading to robust stationary states that are stable over extended ranges of control parameters. Recent experiments allow for exploring microscopic mechanisms underlying such phenomena in collective dynamics of micro- and nanoparticles. Here we show that phase-locked dynamics of hardcore-interacting microparticles in a densely populated periodic potential under time-periodic driving arises from running solitary cluster waves. We explain how values of phase-locked currents are related to soliton velocities and why collective particle dynamics synchronize with the driving for certain particle diameters only. Our analysis is based on an effective potential for the solitary wave propagation and a unit displacement law, saying that the total average shift of all particle positions per soliton period equals one wavelength of the periodic potential.