Low-Mode Hereditary Model of a Geodynamo Driven by 6-Cell Convection

The generation of the main geomagnetic field is ensured by the geodynamo mechanism, driven by convection in the liquid core of the Earth. Realizations of regimes arising in the geomagnetic field on the time scale \(\sim 10^9\) years can only be obtained using low-mode approximations to represent the fields of velocity, temperature and magnetic induction. To do this, it is necessary to base the model on the hypothesis of the large-scale structure of convection. The model is based on the hypothesis of six-cell convection. A hereditary model is described in which memory manifests itself in the mechanism of suppression of the turbulent magnetic field generator ( \(\alpha \) -effect). To take into account the influence of small-scale modes, which can spontaneously synchronize and influence large-scale generation, a random process was included in the model, simulating such an influence at the phenomenological level. Using the developed difference scheme, a series of computational experiments were carried out to determine the influence of heredity. Taking into account the memory mechanism and the possibility of self-organization of turbulence in the 6-cell dynamo model led to the emergence of various dynamic regimes and the appearance of complex statistics of field reversals, similar to the real scale of paleomagnetic polarity.