2021/04/30 by A. Pouquet, Annick Pouquet, Nobumitsu Yokoi
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Classical mechanics #Context (archaeology) #Dynamo #Geology #Geomagnetism and Paleomagnetism Studies #Helicity #Ionosphere and magnetosphere dynamics #Magnetic field #Magnetic helicity #Magnetohydrodynamic drive #Magnetohydrodynamic turbulence #Magnetohydrodynamics #Mechanics #Physics #Quantum mechanics #Solar and Space Plasma Dynamics #Statistical physics #Turbulence #Vortex #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.1098/rsta.2021.0087
14 pages, 0 figure 0 table
arxiv created 2021/08/20 · openalex publication_date 2022/01/31 · arxiv updated 2022/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Helicity, a measure of the breakage of reflectional symmetry representing the topology of turbulent flows, contributes in a crucial way to their dynamics and to their fundamental statistical properties. We review several of their main features, both new and old, such as the discovery of bi-directional cascades or the role of helical vortices in the enhancement of large-scale magnetic fields in the dynamo problem. The dynamical contribution in magnetohydrodynamic of the cross-correlation between velocity and induction is discussed as well. We consider next how turbulent transport is affected by helical constraints, in particular in the context of magnetic reconnection and fusion plasmas under one- and two-fluid approximations. Central issues on how to construct turbulence models for non-reflectionally symmetric helical flows are reviewed, including in the presence of shear, and we finally briefly mention the possible role of helicity in the development of strongly localized quasi-singular structures at small scale. This article is part of the theme issue 'Scaling the turbulence edifice (part 2)'.