Hydrodynamic Limit and Large Deviations for Run-And-Tumble Particles with Mean-Field Switching Rates
Elena Pulvirenti (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Frank Redig (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Hidde van Wiechen (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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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.
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