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In the wake of previous studies on the rattling-and-jumping diffusion insmectic liquid crystal phases of colloidal rods, we analyze here for the firsttime the heterogeneous dynamics in columnar phases. More specifically, weperform computer simulations to investigate the relaxation dynamics of a binarymixture of perfectly aligned hard spherocylinders. We detect that the columnararrangement of the system produces free-energy barriers the particles shouldovercome to jump from one column to another, thus determining a hopping-typediffusion. This phenomenon accounts for the non-Gaussian inter-column diffusionand shows a two-step structural relaxation which is remarkably analogous tothat of out-of-equilibrium glass-forming systems and gels. Surprisingly enough,slight deviations from the behavior of simple liquids due to transient cages isalso observed in the direction perpendicular to this plane, where the system isusually referred to as liquid-like.

Heterogeneous Dynamics in Columnar Liquid Crystals of Parallel Hard Rods