Ba. Grzybowski et al., Dynamic, self-assembled aggregates of magnetized, millimeter-sized objectsrotating at the liquid-air interface: Macroscopic, two-dimensional classical artificial atoms and molecules - art. no. 011603, PHYS REV E, 6401(1), 2001, pp. 1603
This paper describes self-assembly of millimeter-sized, magnetized disks fl
oating on a liquid-air interface. and rotating under the influence of a rot
ating external magnetic field. Spinning of the disks results in hydrodynami
c repulsion between them, while the rotating magnetic held produces an aver
age confining potential acting on all disks. The interplay between hydrodyn
amic and magnetic interactions leads to the formation of patterns. Theoreti
cal analysis of hydrodynamic and magnetic forces indicates that the interac
tions in this system are similar to those acting in systems of finite numbe
rs of particles behaving classically ("classical artificial atoms"). Macros
copic artificial atoms and molecules are described, and the rules governing
their morphologies outlined.