Supertransient magnetohydrodynamic turbulence in Keplerian shear flows

Abstract

A subcritical transition to turbulence in magnetized Keplerian shear flows is investigated using a statistical approach. Three-dimensional numerical simulations of the shearing box equations with zero net magnetic flux are employed to determine the transition from decaying to sustained turbulence as a function of the magnetic Reynolds number Rm. The results reveal no clear transition to sustained turbulence as the average lifetime of the transients grows as an exponential function of Rm, in accordance with a type-II supertransient law.

4 pages, 5 figures, accepted for publication in Physical Review Letters

References in corpus (7)

• Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks
• MHD simulations of the magnetorotational instability in a shearing box with zero net flux. II. The effect of transport coefficients
• Impact of dimensionless numbers on the efficiency of MRI-induced turbulent transport
• Reply to Comment on 'Critical behaviour in the relaminarization of localized turbulence in pipe flow'
• A self-sustaining nonlinear dynamo process in Keplerian shear flows
• On Self-Sustained Dynamo Cycles in Accretion Discs
• Subcritical dynamos in shear flows

Cited by in corpus (19)

• Dynamo theories
• Saturation of the magnetorotational instability in the unstratified shearing box with zero net flux: convergence in taller boxes
• Global bifurcations to subcritical magnetorotational dynamo action in Keplerian shear flow
• On the maximum magnetic field amplification by the magnetorotational instability in core-collapse supernovae
• Numerical simulations of the magnetorotational instability in protoneutron stars: I. Influence of buoyancy
• Periodic magnetorotational dynamo action as a prototype of nonlinear magnetic field generation in shear flows
• Subcritical transition to turbulence of a precessing flow in a cylindrical vessel
• Nonlinear transverse cascade and two-dimensional magnetohydrodynamic subcritical turbulence in plane shear flows
• Ion-scale turbulence in MAST: anomalous transport, subcritical transitions, and comparison to BES measurements
• Small-scale dynamos on the solar surface: dependence on magnetic Prandtl number
• Edge of Chaos and Genesis of Turbulence
• Magnetorotational Dynamo Action in the Shearing Box
• Sustained Turbulence in Differentially Rotating Magnetized Fluids at Low Magnetic Prandtl Number
• Lifetimes of metastable windy states in two-dimensional Rayleigh-Bénard convection with stress-free boundaries
• Bistable turbulence in strongly magnetised plasmas with a sheared mean flow
• Chaotic saddles in a generalized Lorenz model of magnetoconvection
• Aging and memory of transitional turbulence
• MRI-driven $\alpha \Omega$ dynamo at high Pm numbers
• Supertransient Magnetohydrodynamic Turbulence in Keplerian Shear Flows: The role of the Hall Effect