Driven Tracers in a One-Dimensional Periodic Hard-Core Lattice Gas
- Resource Type
- Working Paper
- Authors
- Lobaskin, Ivan; Evans, Martin R.
- Source
- J. Stat. Mech. 2020 (5) 053202
- Subject
- Condensed Matter - Statistical Mechanics
Condensed Matter - Soft Condensed Matter
- Language
Totally asymmetric tracer particles in an environment of symmetric hard-core particles on a ring are studied. Stationary state properties, including the environment density profile and tracer velocity are derived explicitly for a single tracer. Systems with more than one tracer are shown to factorise into single-tracer subsystems, allowing the single tracer results to be extended to an arbitrary number of tracers. We demonstrate the existence of a cooperative effect, where many tracers move with a higher velocity than a single tracer in an environment of the same size and density. Analytic calculations are verified by simulations. Results are compared to established results in related systems.
Comment: Added reference. Corrected typo in section 3.1