Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics

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 fie...

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Bibliographic Details
Published in:arXiv.org 2024-09
Main Authors: Encinas-Bartos, A, Kaszás, B, Servidio, S, Haller, G
Format: Article
Language:English
Subjects:
Algorithms
Angular momentum
Diffusion barriers
Fields (mathematics)
Fluid flow
Lorentz force
Magnetic fields
Magnetohydrodynamic turbulence
Navier-Stokes equations
Stokes flow
Three dimensional flow
Two dimensional flow
Velocity distribution
Vorticity
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Summary: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.
ISSN:2331-8422