Revised conditions for MRI due to isorotation theorem

Francesco Cianfrani, Giovanni Montani

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Abstract

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.
Original languageEnglish
Pages (from-to)328 - 332
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume769
DOIs
Publication statusPublished - 10 Jun 2017
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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