Two-dimensional magnetohydrodynamic turbulence with large and small energy-injection length scales
arXiv:1903.11160 · doi:10.1063/1.5097597
Abstract
Two-dimensional magnetohydrodynamics (2D MHD), forced at (a) large length scales or (b) small length scales, displays turbulent, but statistically steady, states with widely different statistical properties. We present a systematic, comparative study of these two cases (a) and (b) by using direct numerical simulations (DNSs). We find that, in case (a), there is energy equipartition between the magnetic and velocity fields, whereas, in case (b), such equipartition does not exist. By computing various probability distribution functions (PDFs), we show that case (a) displays extreme events that are much less common in case (b).
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- Evolution of localized magnetic field perturbations and the nature of turbulent dynamo
- Stationary solution for quasi-homogeneous small-scale magnetic field advected by non-Gaussian turbulent flow
- Fractional hyperviscosity induced growth of bottlenecks in energy spectrum of Burgers equation solutions