The dynamics of a driven tracer in a quiescent bath subject to geometric confinement models a broad range of phenomena. We explore this dynamics in a 1D lattice model, where geometric confinement is tuned by varying the rate of particle overtaking. Previous studies of the model’s stationary properties on a ring of L sites have revealed a phase in which the bath density profile extends over an distance from the tracer and the tracer’s velocity vanishes as ∼1/L. Here, we study the model’s long time dynamics in this phase for L → ∞. We show that the bath density profile evolves on a time-scale and, correspondingly, that the tracer’s velocity decays as . Unlike the well-studied case of a non-driven tracer, whose dynamics becomes diffusive whenever overtaking is allowed, we here find that driving the tracer preserves its hallmark sub-diffusive single-file dynamics, even in the presence of overtaking.

受驱动的示踪剂在静态浴中的动力学受几何限制，可以模拟各种现象。我们在一维晶格模型中探索了这种动力学，在该模型中，通过改变粒子超驰率来调整几何约束。的环上的模型的平稳特性的以往的研究大号站点已经揭示，其中浴密度分布上延伸的相位从所述示踪剂和所述示踪剂的速度距离消失为〜1 /大号。在这里，我们研究该模型在L →∞时在此阶段的长时间动态。我们显示出浴密度分布在时间尺度上演化，并且相应地，示踪剂的速度随着。与经过充分研究的非驱动跟踪器的情况不同，在允许超车的情况下其动态性会扩散，我们发现驱动跟踪器即使在存在超车的情况下仍保留其标志性的子扩散单文件动态。