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Influence of small scale magnetic energy and helicity on the growth of large scale magnetic field

2014/03/05 by Kiwan Park, Park, Kiwan · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geomagnetism and Paleomagnetism Studies #Geophysics (physics.geo-ph) #Ionosphere and magnetosphere dynamics #Plasma Physics (physics.plasm-ph) #Solar and Space Plasma Dynamics #Solar and Stellar Astrophysics (astro-ph.SR) #astro-ph.EP #astro-ph.SR #physics.flu-dyn #physics.geo-ph #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1403.1328

6 pages, 7 figures

openalex publication_date 2014/03/05 · arxiv created 2014/04/02 · arxiv updated 2014/04/03 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

The influence of initially given small scale magnetic energy(EM(0)) and helicity(HM(0)) on the magnetohydrodynamics(MHD) dynamo was investigated. Equations for EM(t), HM(t), and electromotive force(⟨ \bf v× \bf b⟩, EMF) were derived and solved. The solutions indicate small scale magnetic field(\bf bi) caused by EM(0) modifies EMF and generates additional terms of which effect depends on magnetic diffusivity η, position of initial conditions(ICs) kf, and time (∼ e-ηkf2 t). \bf bi increases the inverse cascade of energy resulting in the enhanced growth of large scale magnetic field(\bf B). Simulation data show that EM(0) in small scale boosts the growth rate, which also proportionally depends on HM(0). If EM(0) is the same, positive HM(0) is more effective for MHD dynamo than negative HM(0) is. It was discussed why large scale magnetic helicity should have the opposite sign of the injected kinetic helicity.

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