Driven tracer dynamics in a one dimensional quiescent bath
arXiv:2007.08168 · doi:10.1088/1751-8121/abcc38
Abstract
The dynamics of a driven tracer in a quiescent bath subject to geometric confinement effectively models a broad range of phenomena. We explore this dynamics in a 1D lattice model where geometric confinement is tuned by varying particle overtaking rates. Previous studies of the model's stationary properties on a ring of 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 . Here, we study the model's dynamics in this phase as and for long times. 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 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.
arXiv comment11 pages, 9 figures
References in corpus (10)
- Motion of a driven tracer particle in a one-dimensional symmetric lattice gas
- Tracer diffusion in crowded narrow channels. Topical review
- The crossover from single file to Fickian diffusion
- Biased diffusion in a one-dimensional adsorbed monolayer
- Correlation and fluctuation in Random Average Process on an infinite line with a driven tracer
- Exact correlations in a single file system with a driven tracer
- Dynamics of a driven probe molecule in a liquid monolayer
- Exact gap statistics for the random average process on a ring with a tracer
- Phase transition in a 1d driven tracer model
- Diffusion in Quasi-One Dimensional Channels: A Small System Transition State Theory for Hopping Times