Abstract: Abstract: In the viscous range of turbulence, the evolution of advected magnetic field with finite initial distribution consists of two consecutive regimes: exponential growth is followed by exponential decay. This makes it possible to find a statistically stationary configuration. 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. For non-Gaussian velocity gradient statistics, the mean-square magnetic field is also stationary.
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Date |
Speaker | Title |
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25.11.2020 |
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