Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916412633645056 |
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| author | Encinas-Bartos, A. Kaszás, B. Servidio, S. Haller, G. |
| author_facet | Encinas-Bartos, A. Kaszás, B. Servidio, S. Haller, G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15331 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics Encinas-Bartos, A. Kaszás, B. Servidio, S. Haller, G. Plasma Physics Fluid Dynamics 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. |
| title | Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics |
| topic | Plasma Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2405.15331 |