Hydrodynamic Limit and Large Deviations for Run-And-Tumble Particles with Mean-Field Switching Rates.
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| Title: | Hydrodynamic Limit and Large Deviations for Run-And-Tumble Particles with Mean-Field Switching Rates. |
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| 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] |
| Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193085096 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Hydrodynamic Limit and Large Deviations for Run-And-Tumble Particles with Mean-Field Switching Rates. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Pulvirenti%2C+Elena%22">Pulvirenti, Elena</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Redig%2C+Frank%22">Redig, Frank</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wiechen%2C+Hidde+van%22">Wiechen, Hidde van</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hidde1996@live.nl</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Statistical+Physics%22">Journal of Statistical Physics</searchLink>. May2026, Vol. 193 Issue 5, p1-27. 27p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Large+deviations+%28Mathematics%29%22">Large deviations (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mean+field+theory%22">Mean field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Limit+theorems%22">Limit theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrodynamics%22">Hydrodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Perturbation+theory%22">Perturbation theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193085096 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10955-026-03609-y Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 27 StartPage: 1 Subjects: – SubjectFull: Large deviations (Mathematics) Type: general – SubjectFull: Mean field theory Type: general – SubjectFull: Limit theorems Type: general – SubjectFull: Hydrodynamics Type: general – SubjectFull: Perturbation theory Type: general Titles: – TitleFull: Hydrodynamic Limit and Large Deviations for Run-And-Tumble Particles with Mean-Field Switching Rates. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Pulvirenti, Elena – PersonEntity: Name: NameFull: Redig, Frank – PersonEntity: Name: NameFull: Wiechen, Hidde van IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00224715 Numbering: – Type: volume Value: 193 – Type: issue Value: 5 Titles: – TitleFull: Journal of Statistical Physics Type: main |
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