Fig. 3: 2D pattern formation in the magnetocapillary mermaid regime.
From: Interactions and pattern formation in a macroscopic magnetocapillary SALR system of mermaid cereal
a Patterns formed by magnetocapillary mermaid disks with \({{{{{{{\mathcal{M}}}}}}}}\) = 1.22 and Bo = 1.52 (a = 3 mm, M = 9 A ⋅ cm−2, m = 0.092 g) for varying areal packing fraction, ϕ. The confinement radius R is 6 cm. The top row illustrates the experimental snapshots starting from the hexagonal lattice state to clusters, stripes, and labyrinths. The bottom row shows sample model results color-coded based on corresponding ϕ values in the experiments. The black scale bar shows 2 cm. b Simulation results of mermaid disks with the same parameters as (a) in a large square domain of 17 cm × 17 cm with a periodic boundary condition for varying packing fraction, ϕ. c The average radial distribution function RDF, \(\overline{g}(r)\), from the periodic boundary condition simulations in a square domain of 17 cm × 17 cm as a function of \(\overline{l}\) averaged over 25 independent simulations for varying ϕ. The error bars indicate one standard deviation of the simulation results.
