2008/03/31 by U. Frisch, Uriel Frisch, Susan Kurien +5 · 2 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Dissipative system #Fluid Dynamics and Turbulent Flows #Inviscid flow #Mathematical physics #Mathematics #Mechanics #Meteorological Phenomena and Simulations #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Thermalisation #Truncation (statistics) #Turbulence #Wavenumber #math.AP #nlin.CD #physics.flu-dyn
paper · pdf · doi:10.1103/physrevlett.101.144501
4 pages, 2 figures, Phys. Rev. Lett. in press
arxiv created 2008/09/03 · openalex publication_date 2008/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that the use of a high power alpha of the Laplacian in the dissipative term of hydrodynamical equations leads asymptotically to truncated inviscid conservative dynamics with a finite range of spatial Fourier modes. Those at large wave numbers thermalize, whereas modes at small wave numbers obey ordinary viscous dynamics [C. Cichowlas et al., Phys. Rev. Lett. 95, 264502 (2005)10.1103/Phys. Rev. Lett. 95.264502]. The energy bottleneck observed for finite alpha may be interpreted as incomplete thermalization. Artifacts arising from models with alpha>1 are discussed.