2001/11/29 by G. Boffetta, Antonio Celani, A. Celani +3 · 63 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Combustion and flame dynamics #Ekman layer #Field (mathematics) #Fluid Dynamics and Turbulent Flows #Geometry #Intermittency #Mathematics #Mechanics #Meteorological Phenomena and Simulations #Physics #Scalar (mathematics) #Statistical physics #Turbulence #Vector field #Vortex #Vorticity #nlin.CD
paper · pdf · doi:10.1103/physreve.66.026304
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 66(2), 026304 (American Physical Society) · 4 pages, 7 figures
arxiv created 2001/11/29 · openalex publication_date 2002/08/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the statistics of the vorticity field in two-dimensional Navier-Stokes turbulence with linear Ekman friction. We show that the small-scale vorticity fluctuations are intermittent, as conjectured by Bernard [Europhys. Lett. 50, 333 (2000)] and Nam et al. [Phys. Rev. Lett. 84, 5134 (2000)]. The small-scale statistics of vorticity fluctuations coincide with that of a passive scalar with finite lifetime transported by the velocity field itself.