Stationary scaling in small-scale turbulent dynamo problem.

Kopyev, A V; Il'yn, A S; Sirota, V A; Zybin, K P · Phys Rev E · 2020

basic_science · Level V

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Abstract

We consider forced small-scale magnetic field advected by an isotropic turbulent flow. The random driving force is assumed to be distributed in a finite region with a scale smaller than the viscous scale of the flow. The two-point correlator is shown to have a stationary limit for any reasonable velocity statistics. Its spatial dependence is found to be a power law. The scaling exponent is found to be close to 3.