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Viscous Shear Instability in Weakly Magnetized, Dilute Plasmas

2004/03/31 by Steven A. Balbus · 4 citations
Physics and Astronomy · #Angular momentum #Astrophysics and Star Formation Studies #Cauchy stress tensor #Classical mechanics #Differential rotation #Gyroradius #Instability #Lorentz force #Magnetic field #Magnetohydrodynamics #Magnetorotational instability #Mechanics #Physics #Plasma #Quantum mechanics #Solar and Space Plasma Dynamics #Stellar, planetary, and galactic studies #Viscous stress tensor #astro-ph

paper · pdf · doi:10.1086/424989

published as Astrophys.J. 616 (2004) 857-864 · 22 pages, 2 figures. Final Version, to appear ApJ 1 Dec 2004 v616

arxiv created 2004/08/12 · openalex publication_date 2004/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

When the ion mean free path much exceeds the Larmor radius in a plasma, the viscous stress tensor is altered dramatically and depends only on quantities measured along the field lines. This regime corresponds to typical interstellar medium conditions in galaxies and protogalaxies, even if the magnetic field is extremely weak, with a negligible Lorentz force on all scales of interest. In this work, the only role of the magnetic field is to channel angular momentum transport along its lines of force. We show that differential rotation in such a gas is highly unstable, with a maximum growth rate exceeding that of the magnetorotational instability. The regime of interest has been treated previously by plasma kinetic methods. Where there is overlap, our work appears to be in agreement with the kinetic results. The nonlinear outcome of this instability is likely to be a turbulent process, significantly augmenting the magnetorotational instability, and important to the initial phases of the amplification of small galactic magnetic fields.

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