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Phenomenology of Turbulent Dynamo Growth and Saturation

2007/11/08 by Rodion Stepanov, Franck Plunian · 17 citations
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Physics and Astronomy · #Dynamo #Geomagnetism and Paleomagnetism Studies #Geophysics and Gravity Measurements #Magnetic field #Magnetohydrodynamics #Phenomenology (philosophy) #Saturation (graph theory) #Solar and Space Plasma Dynamics #Turbulence #astro-ph

paper · pdf · doi:10.1086/587795

published in The Astrophysical Journal 680(1), 809-815 (IOP Publishing) · 17 pages, 6 figures, submitted to ApJ

arxiv created 2007/11/08 · openalex publication_date 2008/06/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

With a nonlocal shell model of magnetohydrodynamic turbulence we investigate numerically the turbulent dynamo action for low and high magnetic Prandtl numbers (Pr m ). The results obtained in the kinematic regime and along the way to dynamo saturation are understood in terms of a phenomenological approach based on the local ( ) or nonlocal ( ) nature of the energy transfers. In both cases, the magnetic energy grows at a small scale and saturates as an inverse "cascade."

Citations