# 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} }

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…

## 9 Citations

### Driven Tracer in the Symmetric Exclusion Process: Linear Response and Beyond.

- PhysicsPhysical review letters
- 2023

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…

### Duality relations in single-file diffusion

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2023

Single-file transport, which corresponds to the diffusion of particles that cannot overtake each other in narrow channels, is an important topic in out-of-equilibrium statistical physics. Various…

### Macroscopic fluctuations of a driven tracer in the symmetric exclusion process

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

The dynamics of an asymmetric tracer in the symmetric simple exclusion process (SEP) is mapped, in the continuous scaling limit, to the local current through the origin in the zero-range process with…

### Tracer dynamics in one dimensional gases of active or passive particles

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

We consider one-dimensional systems comprising either active run-and-tumble particles (RTPs) or passive Brownian random walkers. These particles are either noninteracting or have hardcore exclusions.…

### A simple symmetric exclusion process driven by an asymmetric tracer particle

- PhysicsAnnales 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…

### Attraction and condensation of driven tracers in a narrow channel.

- PhysicsPhysical review. E
- 2021

The mean-field approximation is applied to analytically explore the mechanism responsible for the tracers' emergent interactions and compute the resulting effective attractive potential, which is then numerically shown to extend to a realistic model of hard driven Brownian disks confined to a narrow 2D channel.

### Cumulant generating functions of a tracer in quenched dense symmetric exclusion processes.

- Materials SciencePhysical review. E
- 2021

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.

### Inter-particle ratchet effect determines global current of heterogeneous particles diffusing in confinement

- Physics
- 2020

In a model of N volume-excluding spheres in a d-dimensional tube, we consider how differences between the drift velocities, diffusivities, and sizes of particles influence the steady-state…

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