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Effect of hyperdiffusivity on turbulent dynamos with helicity.

Axel Brandenburg1, Graeme R Sarson

  • 1NORDITA, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.

Physical Review Letters
|February 28, 2002
PubMed
Summary
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Hyperdiffusivity in turbulent magnetohydrodynamics can unexpectedly boost large-scale magnetic fields. This effect, linked to magnetic helicity, saturates the dynamo-generated field at higher levels over extended timescales.

Area of Science:

  • Plasma physics and astrophysics
  • Computational fluid dynamics
  • Magnetohydrodynamics (MHD)

Background:

  • Hyperviscosity and hyperdiffusivity are numerical tools used to manage turbulence scales.
  • They are assumed to affect only small scales, leaving large-scale dynamics unaltered.
  • Their impact on large-scale magnetic field evolution in magnetohydrodynamics is not fully understood.

Purpose of the Study:

  • To investigate potential side effects of hyperdiffusivity on large-scale magnetic fields.
  • To analyze the influence of hyperdiffusivity on dynamo-generated magnetic fields in turbulent flows with helicity.

Main Methods:

  • Numerical simulations of turbulent flows.
  • Application of hyperdiffusivity as a numerical dissipation mechanism.

Related Experiment Videos

  • Analysis of magnetic field evolution and saturation levels.

    • Main Results:

    • Hyperdiffusivity causes dynamo-generated magnetic fields to saturate at higher levels compared to normal diffusivity.
    • This effect is observed in turbulent flows exhibiting helicity.
    • The saturation process is linked to magnetic helicity conservation.

    Conclusions:

    • Hyperdiffusivity can have significant, non-local effects on large-scale magnetic fields.
    • Magnetic helicity conservation explains the enhanced saturation levels and predicts long saturation times.
    • The findings challenge the assumption that hyperdiffusivity only impacts small scales.