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

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.

arXiv commentAdded reference. Corrected typo in section 3.1

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Cited by in corpus (8)

• Tracer dynamics in one dimensional gases of active or passive particles
• Duality relations in single-file diffusion
• Macroscopic fluctuations of a driven tracer in the symmetric exclusion process
• Driven Tracer in the Symmetric Exclusion Process: Linear Response and Beyond
• Cumulant generating functions of a tracer in quenched dense symmetric exclusion processes
• Matrix product solution for a partially asymmetric 1D lattice gas with a free defect
• Attraction and condensation of driven tracers in a narrow channel
• Inter-particle ratchet effect determines global current of heterogeneous particles diffusing in confinement