Opsomer E, Merminod S, Schockmel J, Vandewalle N, Berhanu M, Falcon E. Patterns in magnetic granular media at the crossover from two to three dimensions.
Phys Rev E 2020;
102:042907. [PMID:
33212698 DOI:
10.1103/physreve.102.042907]
[Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/02/2020] [Accepted: 10/04/2020] [Indexed: 11/07/2022]
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.
Collapse