Abstract
Abstract
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
∼
O
L
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
∼
t
time-scale and, correspondingly, that the tracer’s velocity decays as
∼
1
/
t
. 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.
Funder
Center of Scientific Excellence at the Weizmann Institute of Science
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献