Driven tracers in a one-dimensional periodic hard-core lattice gas

@article{Lobaskin2020DrivenTI,
  title={Driven tracers in a one-dimensional periodic hard-core lattice gas},
  author={Ivan Lobaskin and Martin R. Evans},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2020},
  volume={2020}
}
  • Ivan LobaskinM. Evans
  • Published 7 February 2020
  • Physics
  • Journal of Statistical Mechanics: Theory and Experiment
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… 
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9 Citations

9 Citations

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Tracer dynamics in the symmetric exclusion process (SEP), where hard-core particles diffuse on an infinite one-dimensional lattice, is a paradigmatic model of anomalous diffusion. While the…

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A simple symmetric exclusion process driven by an asymmetric tracer particle

  • A. Ayyer
  • Physics
    Annales de l’Institut Henri Poincaré D
  • 2022
We consider an exclusion process on a periodic one-dimensional lattice where all particles perform simple symmetric exclusion at rate $1$ except for a single tracer particle, which performs partially…

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The cumulant generating function in the quenched case was only determined in the low-density limit and for the specific case of a half-filled system and here, it is derived in the opposite dense limit with quenches initial conditions.

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