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<p>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.</p>

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Hydrodynamic Limit and Large Deviations for Run-And-Tumble Particles with Mean-Field Switching Rates

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月18日

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  • Elena Pulvirenti,
  • Frank Redig,
  • Hidde van Wiechen

摘要

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.