Dimensional reduction in freely decaying turbulent non-helical magnetic fields

2015/11/16 by P. Olesen, Olesen, P.
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #High Energy Physics - Theory (hep-th) #Ionosphere and magnetosphere dynamics #Solar and Space Plasma Dynamics

paper · pdf · doi:10.48550/arxiv.1511.05007

openalex publication_date 2015/11/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the self-similarity property of decaying turbulent non-helical magnetic fields is the same in all dimensions. It is shown that these fields produce an inverse transfer in all dimensions. It is also shown that this phenomenon in a certain gauge can be assigned to a time independent value of the squared vector potential. This mechanism is similar to what happens in the well known inverse cascade in two dimensional magnetohydrodynamics.

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