Magnetic field reversals and long-time memory in conducting flows

Abstract

Employing a simple ideal magnetohydrodynamic model in spherical geometry,we show that the presence of either rotation or finite magnetic helicity is sufficient to induce dynamical reversals of the magnetic dipole moment. The statistical character of the model is similar to that of terrestrial magnetic field reversals, with the similarity being stronger when rotation is present.The connection between long time correlations, $1/f$ noise, and statistics of reversals is supported, consistent with earlier suggestions.

arXiv commentaccepted in Physical Review E

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Cited by in corpus (9)

• Interplay between Alfvén and magnetosonic waves in compressible magnetohydrodynamics turbulence
• Statistical theory of reversals in two-dimensional confined turbulent flows
• 1/f noise and long-term memory of coherent structures in a turbulent shear flow
• Self-organisation and non-linear dynamics in driven magnetohydrodynamic turbulent flows
• Dynamics of partially thermalized solutions of the Burgers equation
• On the Applicability of Low-Dimensional Models for Convective Flow Reversals at Extreme Prandtl Numbers
• Magnetic structure, dipole reversals, and 1/f noise in resistive MHD spherical dynamos
• Two Types of $1/f$ Range in Solar Wind Turbulence
• Behavior of hydrodynamic and magnetohydrodynamic turbulence in a rotating sphere with precession and dynamo action