Papers › Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics

Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics

24 May 2024arXiv:2405.15331links table onlyarchive 2025-07-28

A. Encinas-Bartos, B. Kaszás, S. Servidio, G. Haller

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Recent work has identified objective (frame-indifferent) material barriers that inhibit the transport of dynamically active vectorial quantities (such as linear momentum, angular momentum and vorticity) in Navier-Stokes flows. In magnetohydrodynamics (MHD), a similar setting arises: the magnetic field vector impacts the evolution of the velocity field through the Lorentz force and hence is a dynamically active vector field. Here, we extend the theory of active material barriers from Navier-Stokes flows to MHD flows in order to locate frame-indifferent barriers to the diffusive transport of the magnetic field in turbulent two-dimensional and three-dimensional MHD flows. From this approach we obtain an algorithm for the automated extraction of such barriers from MHD turbulence data.

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