  Optical matter, a rapidly growing field, aims to develop novel methods for
controlling and assembling mesoscale systems through fascinating light-matter
interactions. Its traditional approaches often involve complex illumination
fields with costly and unstable setups. These methods require strong gradient
forces, high-intensity laser spots that could harm samples, and substrate
support. This work introduces an alternative approach using magneto-optical
particles and straightforward illumination to effectively create
magneto-optical matter. Our numerical framework, grounded in Langevin dynamics
and realistic collision phenomena, serves as a robust and universal tool for
exploring various optomechanical designs. To illustrate the capabilities of the
developed method, we examine the impact of thermal noise, collision types,
geometric variations, and resonance excitation on a dimer system, generating
multiple scenarios for favorable dimer formation and subsequent manipulation.
It is found that anisotropic dimers tuned initially at magneto-optical
resonance can bind in stable average positions even when particle-particle
collisions are present. We believe our method and subsequent findings provide
essential knowledge for studying optical binding and the dynamics of any
small-scale cluster of electromagnetically interacting components.
