Hydrodynamic limit and large deviations for run-and-tumble particles with mean-field switching rates
Probability
2025-09-29 v1
Abstract
In this paper, we study run-and-tumble particles moving on two copies of the discrete torus (referred to as layers), where the switching rate between layers depends on a mean-field interaction among the particles. We derive the hydrodynamic limit of this model, as well as the large deviations from the hydrodynamic limit. Our main tool is the introduction of a weakly perturbed version of the system, whose hydrodynamic equations precisely characterize the trajectories associated with large deviations.
Keywords
Cite
@article{arxiv.2509.22254,
title = {Hydrodynamic limit and large deviations for run-and-tumble particles with mean-field switching rates},
author = {Elena Pulvirenti and Frank Redig and Hidde van Wiechen},
journal= {arXiv preprint arXiv:2509.22254},
year = {2025}
}