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arXiv · 2002.02841

Driven Tracers in a One-Dimensional Periodic Hard-Core Lattice Gas

Ivan Lobaskin·Martin R. Evans
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Abstract

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.

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Ivan Lobaskin, Martin R. Evans. 2020-03-02. Driven Tracers in a One-Dimensional Periodic Hard-Core Lattice Gas. https://doi.org/10.1088/1742-5468%2Fab7af2

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