  The collective behavior of thermally active structures offers clues on the
emergent degrees of freedom and the physical mechanisms that determine the low
energy state of a variety of systems. Here, the thermally active dynamics of
magnetic dipoles at square plaquettes is modeled in terms of Brownian
oscillators in contact with a heat bath. Solution of the Langevin equation for
a set of interacting x-y dipoles allows the identification of the time scales
and correlation length that reveal how interactions, temperature, damping and
inertia may determine the frequency modes of edge and bulk magnetic mesospins
in artificial dipolar systems.
