@misc{WoodfieldHorneGlauertetal.2018, author = {Woodfield, Emma E. and Horne, Richard B. and Glauert, Sarah A. and Menietti, John D. and Shprits, Yuri Y. and Kurth, William S.}, title = {Formation of electron radiation belts at Saturn by Z-mode wave acceleration}, series = {Postprints der Universit{\"a}t Potsdam : Mathematisch-Naturwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam : Mathematisch-Naturwissenschaftliche Reihe}, number = {1032}, issn = {1866-8372}, doi = {10.25932/publishup-46834}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-468342}, pages = {9}, year = {2018}, abstract = {At Saturn electrons are trapped in the planet's magnetic field and accelerated to relativistic energies to form the radiation belts, but how this dramatic increase in electron energy occurs is still unknown. Until now the mechanism of radial diffusion has been assumed but we show here that in-situ acceleration through wave particle interactions, which initial studies dismissed as ineffectual at Saturn, is in fact a vital part of the energetic particle dynamics there. We present evidence from numerical simulations based on Cassini spacecraft data that a particular plasma wave, known as Z-mode, accelerates electrons to MeV energies inside 4 R-S (1 R-S = 60,330 km) through a Doppler shifted cyclotron resonant interaction. Our results show that the Z-mode waves observed are not oblique as previously assumed and are much better accelerators than O-mode waves, resulting in an electron energy spectrum that closely approaches observed values without any transport effects included.}, language = {en} } @article{RuedigerSchultzHollerbach2021, author = {R{\"u}diger, G{\"u}nther and Schultz, Manfred and Hollerbach, Rainer}, title = {Destabilization of super-rotating Taylor-Couette flows by current-free helical magnetic fields}, series = {Journal of plasma physics}, volume = {87}, journal = {Journal of plasma physics}, number = {2}, publisher = {Cambridge University Press}, address = {London}, issn = {1469-7807}, doi = {10.1017/S0022377821000295}, pages = {19}, year = {2021}, abstract = {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.}, language = {en} } @article{RuedigerSchultz2019, author = {R{\"u}diger, G{\"u}nther and Schultz, M.}, title = {Non-diffusive angular momentum transport in rotating z-pinches}, series = {Journal of plasma physics}, volume = {85}, journal = {Journal of plasma physics}, number = {6}, publisher = {Cambridge Univ. Press}, address = {New York}, issn = {0022-3778}, doi = {10.1017/S0022377819000606}, pages = {16}, year = {2019}, abstract = {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.}, language = {en} } @article{RuedigerKuekerKaepylae2020, author = {R{\"u}diger, G{\"u}nther and K{\"u}ker, Manfred and K{\"a}pyl{\"a}, Petri J.}, title = {Electrodynamics of turbulent fluids with fluctuating electric conductivity}, series = {Journal of plasma physics}, volume = {86}, journal = {Journal of plasma physics}, number = {3}, publisher = {Cambridge Univ. Press}, address = {London}, issn = {0022-3778}, doi = {10.1017/S0022377820000665}, pages = {14}, year = {2020}, abstract = {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.}, language = {en} }