Dimensional reduction in freely decaying turbulent non-helical magnetic fields

preprint2015arXivOpen access

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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