Hall Instability of Thin Weakly Ionized Stratified Keplerian Disks | Zendy

Yuri M. Shtemler | Zendy; M. Mond | Zendy; Edward Liverts | Zendy

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Hall Instability of Thin Weakly Ionized Stratified Keplerian Disks

Author(s) -

Yuri M. Shtemler,

M. Mond,

Edward Liverts

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 - 10.1086/519827

Subject(s) - physics , magnetic field , instability , polytropic process , plasma , hall effect , stratification (seeds) , quantum electrodynamics , mechanics , perturbation (astronomy) , magnetohydrodynamics , classical mechanics , quantum mechanics , seed dormancy , germination , botany , dormancy , biology

The stratification-driven Hall instability in a weakly ionized polytropicplasma is investigated in the local approximation within an equilibriumKeplerian disk of a small aspect ratio. The leading order of the asymptoticexpansions in the aspect ratio is applied to both equilibrium as well as theperturbation problems. The equilibrium disk with an embedded purely toroidalmagnetic field is found to be stable to radial, and unstable to verticalshort-wave perturbations. The marginal stability surface is found in the spaceof the local Hall and inverse plasma beta parameters, as well as the freeparameter of the model which is related to the total current through the disk.To estimate the minimal values of the equilibrium magnetic field that leads toinstability, the latter is constructed as a sum of a current free magneticfield and the simplest approximation for magnetic field created by adistributed electric current.Comment: 13 pages, 7 figure

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