Thermodynamics and Statistical Equilibrium of Large-Scale Hydroelastic Wave Turbulence
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916833705066496 |
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| author | Vernet, Marlone Falcon, Eric |
| author_facet | Vernet, Marlone Falcon, Eric |
| contents | Understanding how statistical equilibrium can occur in out-of-equilibrium systems is of paramount interest, as it would enable the use of statistical mechanics tools to these systems. Here, we report the first experimental evidence of statistical equilibrium of the large scales of hydroelastic turbulent waves driven by small-scale random forcing. The wave field statistics at scales larger than the forcing scale, resolved in space and time, align well with the predictions of Rayleigh-Jeans equilibrium spectra over more than a decade. We measure zero net energy flux in this regime, as expected. We also determine the effective temperature, entropy, and heat capacity of this nonequilibrium system, demonstrating that classical thermodynamic concepts apply to describe large scales in statistical equilibrium of turbulent systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamics and Statistical Equilibrium of Large-Scale Hydroelastic Wave Turbulence Vernet, Marlone Falcon, Eric Fluid Dynamics Statistical Mechanics Chaotic Dynamics Atmospheric and Oceanic Physics Understanding how statistical equilibrium can occur in out-of-equilibrium systems is of paramount interest, as it would enable the use of statistical mechanics tools to these systems. Here, we report the first experimental evidence of statistical equilibrium of the large scales of hydroelastic turbulent waves driven by small-scale random forcing. The wave field statistics at scales larger than the forcing scale, resolved in space and time, align well with the predictions of Rayleigh-Jeans equilibrium spectra over more than a decade. We measure zero net energy flux in this regime, as expected. We also determine the effective temperature, entropy, and heat capacity of this nonequilibrium system, demonstrating that classical thermodynamic concepts apply to describe large scales in statistical equilibrium of turbulent systems. |
| title | Thermodynamics and Statistical Equilibrium of Large-Scale Hydroelastic Wave Turbulence |
| topic | Fluid Dynamics Statistical Mechanics Chaotic Dynamics Atmospheric and Oceanic Physics |
| url | https://arxiv.org/abs/2506.03353 |