Nonlocal magnetorotational instability

Mikhaǐlovskiǐ, A. B.; Lominadze, J. G.; Galvão, R. M. O.; Churikov, A. P.; Kharshiladze, O.; Erokhin, N. N.; Amador, Cassio H. S.

doi:10.1063/1.2913613

Cited by 11 publications

(11 citation statements)

References 26 publications

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“…The non-local modes as well as the non-axisymmetric variety of the local modes in the dusty plasma can be studied in future. In this connection, let us note that the non-local modes in pure plasma were studied in [34], while the non-axisymmetric local modes in such a plasma in [35]. One more issue of the theory of MRI in a dusty plasma can be electromagnetic treatment of this instability allowing for dust effects, cf appendix A.…”

Section: Discussionmentioning

confidence: 99%

Magnetorotational instabilities in a dusty plasma

Mikhaǐlovskiǐ

Lominadze

Churikov

et al. 2008

Plasma Phys. Control. Fusion

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The charged dust effect on stability of a magnetized rotating plasma is analysed using approximation of immobile dust. In the presence of the dust, a term with the electric field appears in the one-fluid equation of plasma motion. This electric field affects the equilibrium plasma rotation and also gives rise to a family of instabilities of the rotating plasma called dust-induced rotational instabilities (DRIs). The DRIs are related to the charge imbalance between the plasma ions and electrons because of the charged dust. In contrast to the wellknown magnetorotational instability driven by the radially decreasing plasma rotation frequency, the DRI can appear for an arbitrary rotation frequency profile. A mathematical technique for the analysis of the magnetorotational phenomena is presented. It is based on the one-fluid magnetohydrodynamic approach developed for a pure plasma and generalized to include the immobile dust effects. The mode equation and local dispersion relation are derived in terms of the canonical parameters.

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Section: Discussionmentioning

confidence: 99%

Magnetorotational instabilities in a dusty plasma

Mikhaǐlovskiǐ

Lominadze

Churikov

et al. 2008

Plasma Phys. Control. Fusion

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“…5-14͒, protoplanetary disks, [15][16][17][18][19][20] stellar disks, 21,22 core-collapse supernovae, [23][24][25][26] and protoneutron stars 27,28 since MRI is believed to be one of the leading candidate in driving plasma turbulence. [29][30][31][32][33] Spurred by the astrophysical significance of MRI ͑see, for example, three excellent reviews [34][35][36] ͒ in conjunction with a deceptively simple setup, namely, the Couette-flow configuration, [37][38][39][40][41][42][43][44] studies of MRI have proliferated in terms of both theoretical analyses 37,[45][46][47][48][49] and experimental studies. 38,[50][51][52][53] In recent years, many analytical and numerical studies have been carried out by taking into account increasingly complex and realistic assumptions to investigate the linear and nonlinear properties of MRI, including effects due to the resistivity and viscosity, 37,46,[54]…”

Section: Introductionmentioning

confidence: 99%

Magnetorotational instability in dissipative dusty plasmas

Ren

Chu

2009

Physics of Plasmas

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The magnetorotational instability ͑MRI͒ in differential rotating dusty plasmas with dissipative effects is investigated by using local linear analysis. We assume that the dust grains are heavy enough to be immobile so that the dust effects are contained in our model only by introducing an electric field term in the one-fluid equation of plasma motion. The general local dispersion relation is derived and two limiting cases are discussed with respect to the dust-induced effect. The instability criterions in the different limiting cases are presented and the growth rate of local MRI in the last case is demonstrated.

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“…When the rotation profile changes significantly, globally unstable modes can be localized to the region of greatest shear. A recent study by Mikhailovskii et al (2008) claimed to find 'non-local' MRI modes in a configuration with a step-like velocity profile. However, this mode is actually a Rayleigh type surface mode, possessing the greatest growth rate in the hydrodynamic limit.…”

Section: Introductionmentioning

confidence: 99%

Spectrum of Global Magnetorotational Instability in a Narrow Transition Layer

Pino

Mahajan

2009

ApJ

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The Global Magnetorotational Instability (MRI) is investigated for a configuration in which the rotation frequency changes only in a narrow transition region.If the vertical wavelength of the unstable mode is of the same order or smaller than the width of this region, the growth rates can differ significantly from those given by a local analysis. In addition, the non-axisymmetric spectrum admits overstable modes with a non-trivial dependence on azimuthal wavelength, a feature missed by the local theory. In the limit of vanishing transition region width, the Rayleigh-centrifugal instability is recovered in the axisymmetric case, and the Kelvin-Helmholtz instability in the non-axisymmetric case.

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Nonlocal magnetorotational instability

Cited by 11 publications

References 26 publications

Magnetorotational instabilities in a dusty plasma

Magnetorotational instabilities in a dusty plasma

Magnetorotational instability in dissipative dusty plasmas

Spectrum of Global Magnetorotational Instability in a Narrow Transition Layer

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