On the predictability of magnetic field inversion within a simple dynamic model

Authors

  • P.G. Frick Institute of Continuous Media Mechanics UB RAS
  • R.A. Pleshkov Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/658-705X/2025.3.1

Keywords:

Earth magnetic field, dynamo models, scale of polarities, predictability of field reversals

Abstract

A viscous generalization of the Rikitake two-disk dynamo model, known as the simplest dynamic model of random reversals of the geomagnetic field, is considered. A systematic study of the emerging solution modes in the parameter space (the degree of ohmic dissipation and the ratio of the moments of forces rotating the disks) has been carried out under a fixed magnetic Prandtl number Pm=10-6, acceptable for the liquid core of the Earth. It is shown that there is a narrow domain in the parameter space in which the rare-reversal chaos, characterized by very long chrones (time intervals during which the sign of the magnetic field is preserved), within which the solution is quasi-stable, and the field fluctuations are characterized by a small amplitude and an extremely slow growth rate. Some regularity of the evolution of field disturbances within a single chron has been revealed, which makes it possible to predict the time of the next magnetic field reversal.

Author Biographies

  • P.G. Frick, Institute of Continuous Media Mechanics UB RAS

    доктор физико-математических наук, профессор, заведующий отделом физической гидродинамики, Институт механики сплошных сред УрО РАН – филиал Пермского федерального исследовательского центра УрО РАН («ИМСС УрО РАН»), 614013, г. Пермь, ул. Академика Королева, д. 1

  • R.A. Pleshkov, Institute of Continuous Media Mechanics UB RAS

    лаборант лаборатории турбулентности, «ИМСС УрО РАН»

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Published

2025-10-23

Issue

Section

Research: theory and experiment

How to Cite

Frick, P., & Pleshkov, R. (2025). On the predictability of magnetic field inversion within a simple dynamic model. Perm Federal Research Centre Journal, 3, 15-24. https://doi.org/10.7242/658-705X/2025.3.1