2012/11/13 by Zachary Bradshaw, Z. Bradshaw, Bradshaw, Z. +3
Engineering · Mathematics · Physics and Astronomy · #Cascade #Classical mechanics #Current (fluid) #Engineering #Enstrophy #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Flux (metallurgy) #Ionosphere and magnetosphere dynamics #Lagrangian coherent structures #Magnetohydrodynamic drive #Magnetohydrodynamics #Materials science #Mathematical Physics (math-ph) #Mechanics #Physics #Plasma #Quantum mechanics #Scale (ratio) #Solar and Space Plasma Dynamics #Statistical physics #Thermodynamics #Turbulence #Vortex #Vorticity #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1211.3083
published in arXiv (Cornell University) (Cornell University) · changed the title, rewrote the introduction to better contextualize the results obtained by the rigorous mathematical analysis; to appear in Nonlinearity
openalex publication_date 2012/11/13 · arxiv created 2013/06/27 · arxiv updated 2013/06/28 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/08
Working directly from the 3D magnetohydrodynamical equations and entirely in physical scales we formulate a scenario wherein the enstrophy flux exhibits cascade-like properties. In particular we show the inertially-driven transport of current and vorticity enstrophy is from larger to smaller scale structures and this inter-scale transfer is local and occurs at a nearly constant rate. This process is reminiscent of the direct cascades exhibited by certain ideal invariants in turbulent plasmas. Our results are consistent with the physically and numerically supported picture that current and vorticity concentrate on small-scale, coherent structures.