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Self-sustaining nonlinear dynamo process in Keplerian shear flows.

F Rincon1, G I Ogilvie, M R E Proctor

  • 1Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom. F.Rincon@damtp.cam.ac.uk

Physical Review Letters
|August 7, 2007
PubMed
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A novel three-dimensional nonlinear dynamo process was found in rotating plane Couette flow. This magnetorotational instability may explain magnetic field sustenance in Keplerian accretion disks.

Area of Science:

  • Plasma Physics
  • Astrophysics
  • Fluid Dynamics

Background:

  • Accretion disks are crucial in astrophysics for phenomena like star and planet formation.
  • Understanding the sustenance of magnetic fields and turbulence in these disks is a key challenge.
  • Previous models often focused on non-rotating or non-Keplerian systems.

Purpose of the Study:

  • To identify and characterize a three-dimensional nonlinear dynamo process in rotating plane Couette flow.
  • To investigate the role of magnetorotational instability in sustaining magnetic fields.
  • To explore the applicability of this process to Keplerian accretion disks.

Main Methods:

  • Numerical computation of steady nonlinear solutions.
  • Analysis of a three-dimensional nonlinear dynamo process.

Related Experiment Videos

  • Simulation of rotating plane Couette flow in the Keplerian regime.

    • Main Results:

    • Identification of a self-sustaining nonlinear dynamo process analogous to hydrodynamic processes in nonrotating shear flows.
    • The process relies on the magnetorotational instability of a toroidal magnetic field.
    • Steady nonlinear solutions were computed for a range of magnetic Reynolds numbers, though limited to low Reynolds numbers.

    Conclusions:

    • The identified dynamo process provides a potential mechanism for sustaining coherent magnetic fields and turbulent motions in Keplerian accretion disks.
    • The fundamental ingredients for this dynamo process are present in Keplerian accretion disks.
    • This finding advances our understanding of magnetic field generation and maintenance in astrophysical environments.