2003/10/01 by E. A. Kuznetsov, T. Passot, P. L. Sulem · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Classical mechanics #Compressibility #Field line #Fluid Dynamics and Turbulent Flows #Geomagnetism and Paleomagnetism Studies #Magnetic field #Magnetohydrodynamic drive #Magnetohydrodynamics #Mechanics #Physics #Solar and Space Plasma Dynamics #physics.plasm-ph #physics.space-ph
paper · pdf · doi:10.1063/1.1669392
13 pages
arxiv created 2003/10/01 · openalex publication_date 2004/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is demonstrated that the deformation of magnetic field lines in incompressible magnetohydrodynamic flows results from a compressible mapping associated with the transverse motion of fluid particles. Appearance of zeros for the Jacobian of this mapping corresponds to the breaking of magnetic field lines and the local blowup of the magnetic field intensity. The occurrence of such events is found to be unlikely in two dimensions but possible in three dimensions.