标题： 粒子在微泵中的确定性输运 显示英文标题

标题： Deterministic transport of particles in a micro-pump

摘要： 我们研究在粘性液体中通过周期性孔隙晶格来回泵送时悬浮微粒的漂移（漂移转子）。 为了解释这种实验中观察到的粒子漂移，我们提出一个一维确定性模型来描述斯托克斯阻力。 我们表明粒子振荡的稳定性与其振幅有关。 在适当条件下，粒子可能漂移，并指出了两种传输机制。 第一种机制是由于流体和粒子运动之间的时空同步。 结果导致速度被空间周期性与时间周期性的比值所锁定。 通过调节参数，运输方向可能会改变。 值得注意的是，其出现与2周期轨道的晶格有关，而不需要混沌动力学。 第二种机制是由于间歇性分岔，导致由长时间振荡随后跟随相对较短的输运到下一个孔隙的缓慢输运。 这两个步骤以准周期方式重复。 最后一种运输的方向强烈依赖于孔隙的几何形状。 显示英文摘要

摘要： We study the drift of suspended micro-particles in a viscous liquid pumped back and forth through a periodic lattice of pores (drift ratchet). In order to explain the particle drift observed in such an experiment, we present an one-dimensional deterministic model of Stokes' drag. We show that the stability of oscillations of particle is related to their amplitude. Under appropriate conditions, particles may drift and two mechanisms of transport are pointed out. The first one is due to an spatio-temporal synchronization between the fluid and particle motions. As results the velocity is locked by the ratio of the space periodicity over the time periodicity. The direction of the transport may switch by tuning the parameters. Noteworthy, its emergence is related to a lattice of 2-periodic orbits but not necessary to chaotic dynamics. The second mechanism is due to an intermittent bifurcation and leads to a slow transport composed by long time oscillations following by a relative short transport to the next pore. Both steps repeat in a quasi-periodic manner. The direction of this last transport is strongly dependent on the pore geometry.