Non-equilibrium fluctuations of the direct cascade in Surface Quasi Geostrophic turbulence
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913386314334208 |
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| author | Valadão, V. J. Ceccotti, T. Boffetta, G. Musacchio, S. |
| author_facet | Valadão, V. J. Ceccotti, T. Boffetta, G. Musacchio, S. |
| contents | We study the temporal fluctuations of the flux of surface potential energy in Surface Quasi-Geostrophic (SQG) turbulence. By means of high-resolution, direct numerical simulations of the SQG model in the regime of forced and dissipated cascade of temperature variance, we show that the instantaneous imbalance in the energy budget originates a subleading correction to the spectrum of the turbulent cascade. Using a multiple-scale approach combined with a dimensional closure we derive a theoretical prediction for the power-law behavior of the corrections, which holds for a class of turbulent transport equations known as α-turbulence. Further, we develop and apply a method to disentangle the equilibrium and non-equilibrium contribution in the instantaneous spectra, which can be generalized to other turbulent systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07235 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-equilibrium fluctuations of the direct cascade in Surface Quasi Geostrophic turbulence Valadão, V. J. Ceccotti, T. Boffetta, G. Musacchio, S. Fluid Dynamics We study the temporal fluctuations of the flux of surface potential energy in Surface Quasi-Geostrophic (SQG) turbulence. By means of high-resolution, direct numerical simulations of the SQG model in the regime of forced and dissipated cascade of temperature variance, we show that the instantaneous imbalance in the energy budget originates a subleading correction to the spectrum of the turbulent cascade. Using a multiple-scale approach combined with a dimensional closure we derive a theoretical prediction for the power-law behavior of the corrections, which holds for a class of turbulent transport equations known as α-turbulence. Further, we develop and apply a method to disentangle the equilibrium and non-equilibrium contribution in the instantaneous spectra, which can be generalized to other turbulent systems. |
| title | Non-equilibrium fluctuations of the direct cascade in Surface Quasi Geostrophic turbulence |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2406.07235 |