Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics
Abstract
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.
Keywords
Cite
@article{arxiv.2405.15331,
title = {Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics},
author = {A. Encinas-Bartos and B. Kaszás and S. Servidio and G. Haller},
journal= {arXiv preprint arXiv:2405.15331},
year = {2024}
}
Comments
27 pages, 10 figures