Eulerian-Lagrangian scaling of the Lyapunov exponent in homogeneous turbulence
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909708358516736 |
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| author | Ge, Jin Rolland, Joran Vassilicos, John Christos |
| author_facet | Ge, Jin Rolland, Joran Vassilicos, John Christos |
| contents | We present a heuristic derivation of the maximal Lyapunov exponent $γ$ of homogeneous turbulence which yields two new relations, a sweeping relation and the scaling of the uncertainty field's integral length $L_Δ$. These relations and the maximal Lyapunov exponent's scaling that they imply are confirmed by periodic turbulence simulations. As the Reynolds number $Re_\lammbda$ increases, $L_Δ$ and $γ^{-1}$ decrease towards values smaller than the Kolmogorov length and time scales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19972 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eulerian-Lagrangian scaling of the Lyapunov exponent in homogeneous turbulence Ge, Jin Rolland, Joran Vassilicos, John Christos Fluid Dynamics Chaotic Dynamics We present a heuristic derivation of the maximal Lyapunov exponent $γ$ of homogeneous turbulence which yields two new relations, a sweeping relation and the scaling of the uncertainty field's integral length $L_Δ$. These relations and the maximal Lyapunov exponent's scaling that they imply are confirmed by periodic turbulence simulations. As the Reynolds number $Re_\lammbda$ increases, $L_Δ$ and $γ^{-1}$ decrease towards values smaller than the Kolmogorov length and time scales. |
| title | Eulerian-Lagrangian scaling of the Lyapunov exponent in homogeneous turbulence |
| topic | Fluid Dynamics Chaotic Dynamics |
| url | https://arxiv.org/abs/2507.19972 |