  We investigate the dynamics of two-dimensional assemblies of rod-shaped
magnetic colloids under the influence of an external rotating magnetic field.
Using Molecular Dynamics, we simulate the formation of patterns that emerge
based on the synchronization degree between the magnetic rods and the rotating
field. We then explore the structural and dynamic characteristics of the
resulting steady states, examining their evolution as a function of changes in
the rods' aspect ratio, the strength of the external magnetic field, and its
rotation frequency. Three distinct synchronization regimes of the rods with the
magnetic field are clearly observed. A detailed set of phase diagrams
illustrates the complex relationship between the magnitude of the external
magnetic field and its rotation frequency and how these parameters govern the
formation of unique self-organized structures.
