Bibliographic Details
| Title: |
Hydrodynamic Limit and Large Deviations for Run-And-Tumble Particles with Mean-Field Switching Rates. |
| Authors: |
Pulvirenti, Elena1 (AUTHOR), Redig, Frank1 (AUTHOR), Wiechen, Hidde van1 (AUTHOR) hidde1996@live.nl |
| Source: |
Journal of Statistical Physics. May2026, Vol. 193 Issue 5, p1-27. 27p. |
| Subjects: |
Large deviations (Mathematics), Mean field theory, Limit theorems, Hydrodynamics, Perturbation theory |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
