Finite Larmor Radius Effects on the Magnetorotational Instability | Zendy

N.M. Ferraro | Zendy

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Finite Larmor Radius Effects on the Magnetorotational Instability

Author(s) -

N.M. Ferraro

Publication year - 2007

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/517877

Subject(s) - gyroradius , magnetorotational instability , physics , instability , dispersion relation , radius , magnetic field , magnetohydrodynamics , accretion (finance) , quantum electrodynamics , condensed matter physics , mechanics , astrophysics , quantum mechanics , computer security , computer science

The linear dispersion relation for the magnetorotational instability (MRI) isderived including finite Larmor radius (FLR) effects. In particular, theBraginskii form of the ion gyroviscosity, which represents the first-order FLRcorrections to the two-fluid equations, is retained. It is shown that FLReffects are the most important effects in the limit of weak magnetic fields,and are much more important than the Hall effect when beta >> 1, where beta isthe ratio of the ion thermal pressure to the magnetic pressure. FLR effects maycompletely stabilize even MRI modes having wavelengths much greater than theion Larmor radius. Some implications for astrophysical accretion disks arediscussed.Comment: 7 pages, 2 figures. Accepted for publication in Ap

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