Formation and Phase Transition of Ferrofluid Droplet Lattices

In this paper, we study the effect of magnetic films arrays on the self-assembly of ferrofluid droplets. By inducing the magnetic hydrodynamic instability we are able to realize the fission of a large ferrofluid droplet into a highly uniform droplet lattice structure under the influence of the magnetic film array. We have also found that the lattice structure of the droplets alters under different external magnetic fields. When the quantity of the split droplets is a multiple of the magnetic film number, the droplets can form a specific lattice structure depending on the multiple.