2016/10/31 by Francesco Cianfrani, Giovanni Montani · 1 citation
Mathematics · Physics and Astronomy · #Angular velocity #Astrophysics and Star Formation Studies #Classical mechanics #Dispersion relation #Field (mathematics) #Flux (metallurgy) #Geometry #Instability #Magnetic confinement fusion research #Magnetic field #Magnetic flux #Mathematical analysis #Mathematics #Mechanics #Optics #Orientation (vector space) #Orthogonality #Physics #Quantum mechanics #Rotational symmetry #Solar and Space Plasma Dynamics #astro-ph.HE
paper · pdf · doi:10.1016/j.physletb.2017.04.006
9 pages, 2 figures, accepted for publication in Physics Letters B
arxiv created 2017/04/07 · openalex publication_date 2017/04/07 · arxiv updated 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We re-analyze the physical conditions for Magneto-rotational Instability (MRI) within a steady axisymmetric stratified disk of plasma, in order to account for the so-called isorotation theory (the spatial profile of differential angular velocity depends on the magnetic flux surface). We develop the study of linear stability around an astrophysical background configuration, following the original derivation in [15], but implementing the isorotation condition as the orthogonality between the background magnetic field and the angular velocity gradient. We demonstrate that a dependence on the background magnetic field direction is restored in the dispersion relation and, hence, the emergence of MRI is also influenced by field orientation.