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Malkus-Proctor  Galloway-Proctor

Malkus-Proctor  Galloway-Proctor. & happy Birthday, Mike!. Stable parities1. Stable parities2. From Malkus-Proctor to …. Elsasser number Close to 1. Compressibility. Thermal effects. Spherical simulation w/ Pencil Code. Equatorward migration Just like 30 years ago

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Malkus-Proctor  Galloway-Proctor

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  1. Malkus-Proctor  Galloway-Proctor & happy Birthday, Mike!

  2. Stable parities1

  3. Stable parities2

  4. From Malkus-Proctor to … Elsasser number Close to 1

  5. Compressibility

  6. Thermal effects

  7. Spherical simulation w/ Pencil Code Equatorward migration Just like 30 years ago (Gilman/Glatzmaier)

  8. … to Galloway … and his ABC flow dynamo simulations … here just AB

  9. …or rather Moffatt/Proctor ’85 • No fast dynamo with finite <A.B> • ABC flow dynamo: + and – at different scale • Rm-1/2 scaling of <A.B>/<B2> with Dobler & Subramanian (2002, AN)

  10. … to Galloway-Proctor • Helical • Pseudo scalar • Circularly polarized • Axial vector •  proper vector • g effect • Only at 6th order with Rädler (2009, MNRAS)

  11. weird resonances … but clear asymptotics outside resonance range

  12. Strongly negative magn diffusivity! But dynamo still only because of a effect Rm=30

  13. What about turbulence? a and htkinematic: independent of Rm (2…200) Sur et al. (2008, MNRAS)

  14. Nonlinear test-field method essence Hydromagnetically forced Roberts flow

  15.  effects from Lorentz force Rheinhardt & B (A&A 2010) Hydromagnetically forced Roberts flow

  16. QKTFM: Rm dependence for B~Beq • l is small  consistency • a1 and a2 tend to cancel • making a small • h2 small …with Rädler, Rheinhardt, Subramanian (ApJ Lett 2008)

  17. CU next year: click from my home page

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