No feedback is possible in small-scale turbulent magnetic field
K. P. Zybin (1, 2), A. S. Il'yn (1, 2), A. V. Kopyev (1), V. A., Sirota (1) ((1) P.N.Lebedev Physical Institute of RAS, Moscow, Russia, (2), National Research University Higher School of Economics, Moscow, Russia)
TL;DR
This paper investigates the evolution of small-scale turbulent magnetic fields with high magnetic Prandtl numbers, demonstrating that their growth does not significantly influence the fluid's dynamics.
Contribution
It provides a theoretical analysis showing that magnetic feedback remains negligible despite magnetic field amplification at small scales.
Findings
Magnetic field growth is unlimited at small scales.
Magnetic feedback on fluid dynamics remains negligible.
Results are applicable to high magnetic Prandtl number regimes.
Abstract
Evolution of stochastically homogeneous magnetic field advected by incompressible turbulent flow with large magnetic Prandtl numbers is considered at the scales less than Kolmogorov viscous scale. It is shown that, despite unlimited growth of the magnetic field, its feedback on the fluid's dynamics remains negligibly small.
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Taxonomy
TopicsGeomagnetism and Paleomagnetism Studies · Fluid Dynamics and Turbulent Flows · Complex Systems and Time Series Analysis