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Self-assembly of granular particles is of great interest in both applied andbasic research. It is commonly observed that when randomly packed into acontainer, granular particles form disordered structures like glass. As theparticles are athermal, the self-assembly of such packings can normally bedirected with energy input via vibration or shear. However, here we show thatin particular containers, mono-sized spheres and cubes can self-assemble intoperfect crystals when randomly dropped in. This is because the favourablemicrostates for new particles are jammed in the ordered structure by theexisting particles and the boundary synergistically. Such a self-assemblymethod has not been reported in the literature. It indicates that disorderedpacking structure may result from the conflict between the internal structureand the structure shaped by the boundary. Therefore, to bridge suchinconsistency could be a general principle for directing self-assembly fordifferent kinds of particles in emerging areas.

Self-assembly near Ground State: Randomly Pack Granular Spheres and Cubes into Crystal