Patterns formed by paramagnetic particles in a horizontal layer of a magnetorheological fluid subjected to a dc magnetic field

We investigate the patterns formed by paramagnetic particles, which are dispersed in a liquid solvent subjected to a dc magnetic field. We calculate the dynamics of paramagnetic particles by the Brownian dynamics method based on the Langevin equation. We, in particular, focus on the effect of the system height on the pattern formations. We also discuss the mechanism of the pattern formations and the dynamics of the structure creation processes.