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Updated: Jun 8, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Supertransient magnetohydrodynamic turbulence in Keplerian shear flows
Erico L Rempel1, Geoffroy Lesur, Michael R E Proctor
1Institute of Aeronautical Technology (IEFM/ITA), World Institute for Space Environment Research (WISER), São José dos Campos-SP 12228-900, Brazil. rempel@ita.br
This study investigates turbulence in magnetized Keplerian shear flows. Results show no clear transition to sustained turbulence, with transient lifetimes increasing exponentially with magnetic Reynolds number.
Area of Science:
- Plasma physics
- Astrophysical fluid dynamics
- Magnetohydrodynamics
Background:
- Turbulence in magnetized shear flows is crucial for astrophysical phenomena.
- Understanding the transition to turbulence is a fundamental challenge.
- Keplerian shear flows are common in accretion disks.
Purpose of the Study:
- To investigate the subcritical transition to turbulence in magnetized Keplerian shear flows.
- To determine the transition from decaying to sustained turbulence.
- To analyze the role of the magnetic Reynolds number (Rm) in this transition.
Main Methods:
- Utilizing a statistical approach.
- Performing three-dimensional numerical simulations of the shearing box equations.
- Simulating with zero net magnetic flux.
Main Results:
- No clear transition to sustained turbulence was observed.
- The average lifetime of transient turbulent states increases exponentially with Rm.
- The observed behavior aligns with a type-II supertransient law.
Conclusions:
- The transition to turbulence in these systems is not a sharp threshold.
- Supertransient behavior dominates, characterized by long-lived turbulent transients.
- Further research is needed to fully understand the implications for astrophysical systems.
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