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We consider the effect of toroidal magnetic fields on hydrodynamically stable Taylor-Couette differential rotation flows. For current-free magnetic fields a nonaxisymmetricm = 1 magnetorotational instability arises when the magnetic Reynolds number exceeds O(100). We then consider how this ‘azimuthal magnetorotational instability’ (AMRI) is modified if the… (More)

- G. Rüdiger
- 2008

Aims. The stability of dissipative Taylor-Couette flows with an axial stable density stratification and a prescribed azimuthal magnetic field is considered. Methods. Global nonaxisymmetric solutions of the linearized MHD equations with toroidal magnetic field, axial density stratification and differential rotation are found for both insulating and… (More)

- Rainer Hollerbach, Günther Rüdiger
- Physical review letters
- 2005

We study the stability of cylindrical Taylor-Couette flow in the presence of combined axial and azimuthal magnetic fields, and show that adding an azimuthal field profoundly alters the previous results for purely axial fields. For small magnetic Prandtl numbers Pm, the critical Reynolds number Re(c) for the onset of the magnetorotational instability becomes… (More)

- Martin Seilmayer, Frank Stefani, +4 authors Günther Rüdiger
- Physical review letters
- 2012

In the current-driven, kink-type Tayler instability (TI) a sufficiently strong azimuthal magnetic field becomes unstable against nonaxisymmetric perturbations. The TI has been discussed as a possible ingredient of the solar dynamo mechanism and a source of the helical structures in cosmic jets. It is also considered as a size-limiting factor for liquid… (More)

- G Rüdiger, D Elstner, M Ossendrijver
- 2002

The question is answered whether α-shell-dynamos are able to produce a cyclic activity or not. Only kinematic dynamos are considered and only the solutions with the lowest dynamo number are studied without restrictions about the axial symmetry of the solution. The α-effect is allowed to be latitudinally inhomogeneous and/or anisotropic, but it is assumed as… (More)

- Günther Rüdiger, Dima Shalybkov
- Physical review. E, Statistical, nonlinear, and…
- 2002

The linear marginal instability of an axisymmetric magnetohydrodynamics Taylor-Couette flow of infinite vertical extension is considered. We are only interested in those vertical wave numbers for which the characteristic Reynolds number is minimum. For hydrodynamically unstable flows minimum Reynolds numbers exist even without a magnetic field, but there… (More)

- Martin Seilmayer, Vladimir Galindo, +6 authors Rainer Hollerbach
- Physical review letters
- 2014

The azimuthal version of the magnetorotational instability (MRI) is a nonaxisymmetric instability of a hydrodynamically stable differentially rotating flow under the influence of a purely or predominantly azimuthal magnetic field. It may be of considerable importance for destabilizing accretion disks, and plays a central role in the concept of the MRI… (More)

- G. Rüdiger, R. Arlt, D. Shalybkov
- 2002

The hydrodynamic stability of accretion disks is considered. The particular question is whether the combined action of a (stable) vertical density stratification and a (stable) radial differential rotation gives rise to a new instability for nonaxisymmetric modes of disturbances. The existence of such an instability is not suggested by the well-known… (More)

- Frank Stefani, Thomas Gundrum, +4 authors Rainer Hollerbach
- Physical review letters
- 2006

A recent Letter [R. Hollerbach and G. Rüdiger, Phys. Rev. Lett. 95, 124501 (2005)] has shown that the threshold for the onset of the magnetorotational instability in a Taylor-Couette flow is dramatically reduced if both axial and azimuthal magnetic fields are imposed. In agreement with this prediction, we present results of a Taylor-Couette experiment with… (More)

- Frank Stefani, Gunter Gerbeth, +4 authors Jacek Szklarski
- Physical review. E, Statistical, nonlinear, and…
- 2009

The magnetorotational instability (MRI) is thought to play a key role in the formation of stars and black holes by sustaining the turbulence in hydrodynamically stable Keplerian accretion disks. In previous experiments the MRI was observed in a liquid metal Taylor-Couette flow at moderate Reynolds numbers by applying a helical magnetic field. The… (More)