URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.102.042907
Abstract:
We perform three-dimensional particle-based simulations of
confined, vibrated, and magnetizable beads to study the effect
of cell geometry on pattern selection. For quasi-two-dimensional
systems, we reproduce previously observed macroscopic patterns
such as hexagonal crystals and labyrinthine structures. For
systems at the crossover from two to three dimensions,
labyrinthine branches shorten and are replaced by triplets of
beads forming upright triangles which self-organize into a
herringbone pattern. This transition is associated with
increases in both translational and orientational orders.