TY - JOUR A1 - Rüdiger, Günther A1 - Schultz, M. T1 - Non-diffusive angular momentum transport in rotating z-pinches JF - Journal of plasma physics N2 - The stability of conducting Taylor-Couette flows under the presence of toroidal magnetic background fields is considered. For strong enough magnetic amplitudes such magnetohydrodynamic flows are unstable against non-axisymmetric perturbations which may also transport angular momentum. In accordance with the often used diffusion approximation, one expects the angular momentum transport to be vanishing for rigid rotation. In the sense of a non-diffusive Lambda effect, however, even for rigidly rotating z-pinches, an axisymmetric angular momentum flux appears which is directed outward (inward) for large (small) magnetic Mach numbers. The internal rotation in a magnetized rotating tank can thus never be uniform. Those particular rotation laws are used to estimate the value of the instability-induced eddy viscosity for which the non-diffusive Lambda effect and the diffusive shear-induced transport compensate each other. The results provide the Shakura & Sunyaev viscosity ansatz leading to numerical values linearly growing with the applied magnetic field. KW - plasma instabilities KW - astrophysical plasmas Y1 - 2019 U6 - https://doi.org/10.1017/S0022377819000606 SN - 0022-3778 SN - 1469-7807 VL - 85 IS - 6 PB - Cambridge Univ. Press CY - New York ER - TY - JOUR A1 - Rüdiger, Günther A1 - Küker, Manfred A1 - Käpylä, Petri J. T1 - Electrodynamics of turbulent fluids with fluctuating electric conductivity JF - Journal of plasma physics N2 - Consequences of fluctuating microscopic conductivity in mean-field electrodynamics of turbulent fluids are formulated and discussed. If the conductivity fluctuations are assumed to be uncorrelated with the velocity fluctuations then only the turbulence-originated magnetic diffusivity of the fluid is reduced and the decay time of a large-scale magnetic field or the cycle times of oscillating turbulent dynamo models are increased. If, however, the fluctuations of conductivity and flow in a certain well-defined direction are correlated, an additional diamagnetic pumping effect results, transporting the magnetic field in the opposite direction to the diffusivity flux vector . In the presence of global rotation, even for homogeneous turbulence fields, an alpha effect appears. If the characteristic values of the outer core of the Earth or the solar convection zone are applied, the dynamo number of the new alpha effect does not reach supercritical values to operate as an alpha(2)-dynamo but oscillating alpha Omega-dynamos with differential rotation are not excluded. KW - astrophysical plasmas KW - plasma flows Y1 - 2020 U6 - https://doi.org/10.1017/S0022377820000665 SN - 0022-3778 SN - 1469-7807 VL - 86 IS - 3 PB - Cambridge Univ. Press CY - London ER - TY - JOUR A1 - Rüdiger, Günther A1 - Schultz, Manfred A1 - Hollerbach, Rainer T1 - Destabilization of super-rotating Taylor-Couette flows by current-free helical magnetic fields JF - Journal of plasma physics N2 - In an earlier paper we showed that the combination of azimuthal magnetic fields and super-rotation in Taylor-Couette flows of conducting fluids can be unstable against non-axisymmetric perturbations if the magnetic Prandtl number of the fluid is Pm not equal 1. Here we demonstrate that the addition of a weak axial field component allows axisymmetric perturbation patterns for Pm of order unity depending on the boundary conditions. The axisymmetric modes only occur for magnetic Mach numbers (of the azimuthal field) of order unity, while higher values are necessary for the non-axisymmetric modes. The typical growth time of the instability and the characteristic time scale of the axial migration of the axisymmetric mode are long compared with the rotation period, but short compared with the magnetic diffusion time. The modes travel in the positive or negative z direction along the rotation axis depending on the sign of B phi Bz. We also demonstrate that the azimuthal components of flow and field perturbations travel in phase if vertical bar B phi vertical bar >> vertical bar B-z vertical bar, independent of the form of the rotation law. Within a short-wave approximation for thin gaps it is also shown (in an appendix) that for ideal fluids the considered helical magnetorotational instability only exists for rotation laws with negative shear. KW - plasma instabilities KW - astrophysical plasmas Y1 - 2021 U6 - https://doi.org/10.1017/S0022377821000295 SN - 1469-7807 VL - 87 IS - 2 PB - Cambridge University Press CY - London ER -