Dynamics of mobile interacting ferromagnetic films: theory and numerical implementation

Coating two nearby bodies with thin ferromagnetic films one obtains, below the Curie temperature, two interacting sets of magnetic domains. The dynamical properties of the bodies in presence of this domain interaction have never been investigated so far. In this work I derive a set of equations to simultaneously describe both the domain evolution within the two films and the dynamics of the coated bodies. The shape, size and mobility of the domains can be easily controlled with an external magnetic field or properly choosing the material properties, thus unravelling how the domain characteristics influence the system dynamics. This can be thus of great technological relevance, providing new means to control and actuate mechanical motion at the micro- and nano-scale.