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Brownian models for geomagnetic reversals
The
study of the Earth's magnetic field can be approached from the study of
data obtained through direct measurements (ground-based observatories,
satellites, etc.) and indirect measurements (paleomagnetic and
archaeomagnetic studies) or through the analysis of models.
On the one hand, there are experimental models, consisting of complex
equipment in which the behaviour of the outer core is simulated by
means of metallic fluids at high temperatures inside a rotating
spherical receptacle. On the other hand, magnetohydrodynamic models are
also available, which numerically simulate the evolution of the core
based on the equations of thermodynamics, fluid dynamics and
electromagnetism using powerful computers. The latter allow a detailed
analysis of the dynamics of the system. However, the computational
power required makes it necessary to use, for some physical
characteristics, values that are very different from the real ones.
An alternative to magnetohydrodynamic models is to use simplified or
conceptual models, in which, instead of simulating the fluid dynamics
in detail, general features of the system are described using simpler
mathematical expressions. An example of such an approach is stochastic
or 'Brownian' models, in which the evolution of the magnetic field is
simulated by random fluctuations subject to certain constraints. The
results of these models are statistically comparable with observations
and allow the mechanisms responsible for this behaviour to be
investigated.
Researchers in the group have developed a simple model capable of
reproducing the temporal asymmetry in the behaviour of the dipole
moment of the Earth's magnetic field in the inversion environment
(Molina-Cardín et al., 2021).
A. Molina-Cardín, L. Dinis, M.L. Osete. Simple stochastic model
for geomagnetic excursions and reversals reproduces the temporal
asymmetry of the axial dipole moment. Proceedings of the National
Academy of Sciences of the United States of America. https://doi.org/10.1073/pnas.2017696118
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