CONICET | Buscador de Institutos y Recursos Humanos

A formulation of a kinematic dynamo is presented, based on a previously derived selfconsistentprocedure for obtaining large-scale models for complex system of equations. Themodel has only a small number of parametrized variables: the small-scale magnetic diffusivity,the scale of the large-scale fields, and a factor in the explicit expression of theαϕϕ component of the α tensor. Explicit expressions of what corresponds to the other componentsof the α tensor and of the diffusivity tensor are derived in terms of the large-scalemeridional flow and of the differential rotation law, without introducing additional parameters.A very simple simulation of a solar-like dynamo, employing the model without meridionalflow shows reasonable magnetic field evolution, with a cycle duration of about 2/3 that of theSun, shift of the magnetic field from mid-latitudes towards the equator, poleward migrationof the radial field at high latitudes, and correct phase relation between radial and azimuthalcomponents.