@article{RuedigerSchultz2020,
  author    = {R{\"u}diger, G{\"u}nther and Schultz, Manfred},
  title     = {Large-scale dynamo action of magnetized Taylor-Couette flows},
  series = {Monthly notices of the Royal Astronomical Society},
  volume    = {493},
  journal   = {Monthly notices of the Royal Astronomical Society},
  number    = {1},
  publisher = {Oxford Univ. Press},
  address   = {Oxford},
  issn      = {0035-8711},
  doi       = {10.1093/mnras/staa293},
  pages     = {1249 -- 1260},
  year      = {2020},
  abstract  = {A conducting Taylor-Couette flow with quasi-Keplerian rotation law containing a toroidal magnetic field serves as a mean-field dynamo model of the Tayler-Spruit type. The flows are unstable against non-axisymmetric perturbations which form electromotive forces defining a effect and eddy diffusivity. If both degenerated modes with m = +/- 1 are excited with the same power then the global a effect vanishes and a dynamo cannot work. It is shown, however, that the Tayler instability produces finite alpha effects if only an isolated mode is considered but this intrinsic helicity of the single-mode is too low for an alpha(2) dynamo. Moreover, an alpha Omega dynamo model with quasi-Keplerian rotation requires a minimum magnetic Reynolds number of rotation of Rm similar or equal to 2000 to work. Whether it really works depends on assumptions about the turbulence energy. For a steeper-than-quadratic dependence of the turbulence intensity on the magnetic field, however, dynamos are only excited if the resulting magnetic eddy diffusivity approximates its microscopic value, eta(T) similar or equal to eta. By basically lower or larger eddy diffusivities the dynamo instability is suppressed.},
  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 <eta'u'>. 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}
}