Hydrodynamic limit and large deviations for run-and-tumble particles with mean-field switching rates
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915516541566976 |
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| author | Pulvirenti, Elena Redig, Frank van Wiechen, Hidde |
| author_facet | Pulvirenti, Elena Redig, Frank van Wiechen, Hidde |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22254 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic limit and large deviations for run-and-tumble particles with mean-field switching rates Pulvirenti, Elena Redig, Frank van Wiechen, Hidde Probability 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. |
| title | Hydrodynamic limit and large deviations for run-and-tumble particles with mean-field switching rates |
| topic | Probability |
| url | https://arxiv.org/abs/2509.22254 |