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Totally asymmetric tracer particles in an environment of symmetric hard-coreparticles on a ring are studied. Stationary state properties, including theenvironment density profile and tracer velocity are derived explicitly for asingle tracer. Systems with more than one tracer are shown to factorise intosingle-tracer subsystems, allowing the single tracer results to be extended toan arbitrary number of tracers. We demonstrate the existence of a cooperativeeffect, where many tracers move with a higher velocity than a single tracer inan environment of the same size and density. Analytic calculations are verifiedby simulations. Results are compared to established results in related systems.

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