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Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

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Published on: March 3, 2017

Multistability in rotating spherical shell convection.

F Feudel1, N Seehafer, L S Tuckerman

  • 1Institut für Physik und Astronomie, Universität Potsdam, Karl-Liebknecht-Strasse 24/25, 14476 Potsdam, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 19, 2013
PubMed
Summary
This summary is machine-generated.

This study explores stable convection patterns in rotating spherical shells, revealing transitions from rotating waves to complex modulated waves and chaotic dynamics as the Rayleigh number increases.

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Area of Science:

  • Fluid dynamics
  • Geophysics
  • Nonlinear dynamics

Background:

  • Spherical fluid shells with central gravity and inner heating exhibit complex convection patterns.
  • Rotating waves (RWs) are one type of stable convection pattern observed.
  • Understanding these patterns is crucial for geophysical fluid dynamics.

Purpose of the Study:

  • To investigate the multiplicity of stable convection patterns in a rotating spherical fluid shell.
  • To analyze the symmetry, stability, and bifurcations of these patterns.
  • To characterize the transitions to more complex dynamics at higher Rayleigh numbers.

Main Methods:

  • Tracing solution branches of rotating waves (RWs) across a range of Rayleigh numbers.
  • Studying the symmetry and stability of these RWs.
  • Classifying modulated rotating waves (MRWs) based on spatiotemporal symmetry.

Main Results:

  • Multiple stable convection patterns, including RWs, were identified.
  • RWs transitioned to modulated rotating waves (MRWs) at increased Rayleigh numbers.
  • Further transitions led to three-frequency solutions, chaotic saddles, and attractors, with increased symmetry loss.

Conclusions:

  • The dynamics of rotating spherical fluid shells are highly sensitive to the Rayleigh number.
  • Complex spatiotemporal symmetries and bifurcations govern the transition to chaotic behavior.
  • This research provides insights into pattern formation and chaos in geophysical systems.