  Diffusive properties of interacting magnetic dipoles confined in a parabolic
narrow channel and in the presence of a periodic modulated (corrugated)
potential along the unconfined direction are studied using Brownian dynamics
simulations. We compare our simulation results with the analytical result for
the effective diffusion coefficient of a single-particle by Festa and d'Agliano
[Physica A \textbf{90}, 229 (1978)] and show the importance of inter-particle
interaction on the diffusion process. We present results for the diffusion of
magnetic dipoles as a function of linear density, strength of the periodic
modulation and commensurability factor.
