Hyperviscosity, Galerkin truncation and bottlenecks in turbulence
  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 \textit{conservative} dynamics with a finite range of spatial Fourier modes. Those at large wavenumbers thermalize, whereas modes at small wavenumbers obey ordinary viscous dynamics [C. Cichowlas et al. Phys. Rev. Lett. 95, 264502 (2005)]. The energy bottleneck observed for finite $\alpha$ may be interpreted as incomplete thermalization. Artifacts arising from models with $\alpha > 1$ are discussed. 
Uriel Frisch, Susan Kurien, Rahul Pandit, Walter Pauls, Samriddhi   Sankar Ray, Achim Wirth, Jian-Zhou Zhu