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Energy spectrum of turbulent fluctuations in boundary driven reduced magnetohydrodynamics

2003/08/21 by Pablo Dmitruk, Daniel O. Gomez, Daniel O. Gómez +1 · 68 citations
Engineering · Physics and Astronomy · #Compressibility #Convection #Fluid Dynamics and Turbulent Flows #Fluid dynamics and aerodynamics studies #Magnetic energy #Magnetic field #Magnetohydrodynamic drive #Magnetohydrodynamic turbulence #Magnetohydrodynamics #Plasma #Solar and Space Plasma Dynamics #Spectral line #Turbulence #physics.flu-dyn #physics.plasm-ph

paper · pdf · doi:10.1063/1.1602698

published in Physics of Plasmas 10(9), 3584-3591 (American Institute of Physics) · Published in Physics of Plasmas

openalex publication_date 2003/08/21 · arxiv created 2003/09/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The nonlinear dynamics of a bundle of magnetic flux ropes driven by stationary fluid motions at their endpoints is studied, by performing numerical simulations of the magnetohydrodynamic (MHD) equations. The development of MHD turbulence is shown, where the system reaches a state that is characterized by the ratio between the Alfvén time (the time for incompressible MHD waves to travel along the field lines) and the convective time scale of the driving motions. This ratio of time scales determines the energy spectra and the relaxation toward different regimes ranging from weak to strong turbulence. A connection is made with phenomenological theories for the energy spectra in MHD turbulence.

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