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

Abstract

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.

Some formulas are corrected and some comments and a new reference added

References in corpus (4)

• Nonhelical inverse transfer of a decaying turbulent magnetic field
• Inverse cascade of non-helical magnetic turbulence in a relativistic fluid
• Stochastic Acceleration Model of Gamma-Ray Burst with Decaying Turbulence
• Self-similar scaling in decaying numerical turbulence

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