Topological Implications of the Total Generalized Electron-Flow Magnetic Helicity Invariant in Electron Magnetohydrodynamics.

Topological implications of the total generalized electron-flow magnetic helicity He in electron magnetohydrodynamics (EMHD) are explored. The invariance of He is shown to imply the invariance of the sum of the linkage of magnetic field lines, the linkage of electron-flow vorticity field lines, and the mutual linkage among these two sets of field lines. This result appears to support a change in the magnetic field topology and hence paves the way for magnetic reconnection in EMHD via a change in the concomitant electron-flow vorticity topology. Published under license by AIP Publishing.