Inverse transfer of self-similar decaying turbulent non-helical magnetic field

Understand

We show that decaying turbulent non-helical magnetic fields satisfy a self-similarity relation according to which the relevant scales increase as time passes (inverse cascade or inverse transfer).

• We compute analytically quantities which have previously been determined by numerical calculations, for example the average energy and the integral scale which are proportional to 1/t and the square root of t,respectively, where t is the time.
• We also briefly discuss self-similarity for the helical case.