Collapse of statistical equilibrium in large-scale hydroelastic turbulent waves.
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| Title: | Collapse of statistical equilibrium in large-scale hydroelastic turbulent waves. |
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| Authors: | Vernet, Marlone1,2, Falcon, Eric1 eric.falcon@u-paris.fr |
| Source: | Journal of Fluid Mechanics. 2/25/2026, Vol. 1029, p1-15. 15p. |
| Subjects: | Statistical equilibrium, Turbulence, Energy dissipation, Damping (Mechanics), Nonlinear optics |
| Abstract: | At scales larger than the forcing scale, some out-of-equilibrium turbulent systems (such as hydrodynamic turbulence, wave turbulence and nonlinear optics) exhibit a state of statistical equilibrium where energy is equipartitioned among large-scale modes, in line with the Rayleigh-Jeans spectrum. Key open questions now pertain to either the emergence, decay, collapse or other non-stationary evolutions from this state. Here, we experimentally investigate the free decay of large-scale hydroelastic turbulent waves, initially in a regime of statistical equilibrium. Using space- and time-resolved measurements, we show that the total energy of these large-scale tensional waves decays as a power law in time. We derive an energy decay law from the theoretical initial equilibrium spectrum and the linear viscous damping, as no net energy flux is carried. Our prediction then shows a good agreement with experimental data over nearly two decades in time, for various initial effective temperatures of the statistical equilibrium state. We further identify the dissipation mechanism and confirm it experimentally. Our approach could be applied to other decaying turbulence systems, with the large scales initially in statistical equilibrium. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press 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: 192858495 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Collapse of statistical equilibrium in large-scale hydroelastic turbulent waves. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Vernet%2C+Marlone%22">Vernet, Marlone</searchLink><relatesTo>1,2</relatesTo><br /><searchLink fieldCode="AR" term="%22Falcon%2C+Eric%22">Falcon, Eric</searchLink><relatesTo>1</relatesTo><i> eric.falcon@u-paris.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 2/25/2026, Vol. 1029, p1-15. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Statistical+equilibrium%22">Statistical equilibrium</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulence%22">Turbulence</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+dissipation%22">Energy dissipation</searchLink><br /><searchLink fieldCode="DE" term="%22Damping+%28Mechanics%29%22">Damping (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+optics%22">Nonlinear optics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: At scales larger than the forcing scale, some out-of-equilibrium turbulent systems (such as hydrodynamic turbulence, wave turbulence and nonlinear optics) exhibit a state of statistical equilibrium where energy is equipartitioned among large-scale modes, in line with the Rayleigh-Jeans spectrum. Key open questions now pertain to either the emergence, decay, collapse or other non-stationary evolutions from this state. Here, we experimentally investigate the free decay of large-scale hydroelastic turbulent waves, initially in a regime of statistical equilibrium. Using space- and time-resolved measurements, we show that the total energy of these large-scale tensional waves decays as a power law in time. We derive an energy decay law from the theoretical initial equilibrium spectrum and the linear viscous damping, as no net energy flux is carried. Our prediction then shows a good agreement with experimental data over nearly two decades in time, for various initial effective temperatures of the statistical equilibrium state. We further identify the dissipation mechanism and confirm it experimentally. Our approach could be applied to other decaying turbulence systems, with the large scales initially in statistical equilibrium. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1017/jfm.2026.11167 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 1 Subjects: – SubjectFull: Statistical equilibrium Type: general – SubjectFull: Turbulence Type: general – SubjectFull: Energy dissipation Type: general – SubjectFull: Damping (Mechanics) Type: general – SubjectFull: Nonlinear optics Type: general Titles: – TitleFull: Collapse of statistical equilibrium in large-scale hydroelastic turbulent waves. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Vernet, Marlone – PersonEntity: Name: NameFull: Falcon, Eric IsPartOfRelationships: – BibEntity: Dates: – D: 25 M: 02 Text: 2/25/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00221120 Numbering: – Type: volume Value: 1029 Titles: – TitleFull: Journal of Fluid Mechanics Type: main |
| ResultId | 1 |
