The paper «Two-Mode Hereditary Model of Solar Dynamo» has been published in "Mathematics" Journal

The authors are the Researchers from IKIR FEB RAS: Kazakov E.A., Vodinchar G.M., Tverdiy D.A.

The magnetic field of the Sun is formed by the mechanism of hydromagnetic dynamo. In this mechanism, the flow of the conducting medium (plasma) of the convective zone generates a magnetic field, and this field corrects the flow using the Lorentz force, creating feedback. An important role in dynamo is played by memory (hereditary), when a change in the current state of a physical system depends on its states in the past. Taking these effects into account may provide a more accurate description of the generation of the Sun’s magnetic field. The feedback parameters such as the presence or absence of delay, delay duration, and memory duration are additional degrees of freedom. This can provide more diverse dynamic modes compared to classical memoryless models. The proposed model is based on the kinematic dynamo problem, where the large-scale velocity field is predetermined. The model representation of the Sun’s velocity field was constructed based on helioseismological data. Free field decay modes were chosen as components of the magnetic field. The work considered cases when hereditary feedback with the system arose instantly or with a delay. The simulation results showed that the model under study reproduces dynamic modes characteristic of the solar dynamo, if there is a delay in the feedback.

Full text of the paper is available at https://www.mdpi.com/2227-7390/13/10/1669.

For citation: Kazakov, E.; Vodinchar, G.; Tverdyi, D. Two-Mode Hereditary Model of Solar Dynamo. Mathematics 2025, 13, 1669. https://doi.org/10.3390/math13101669.