Abstract
Particles confined in a thin horizontal layer of magnetic fluid were uniformly dispersed by applying a vertical magnetic field. The particle arrangements were observed both in experiments and in computer simulations of two dimensions. The regularity of particle dispersion was defined by the mean value of areas of the Voronoi polygons and its variance, R=‹α›2/σ2, for the evaluation of the particle arrangements. The clusters of particles were virtually made by uniformly swelling all of the particles. The distribution of the cluster size can be utilized for detail evaluation of the particle arrangement. The regularity of the particle dispersion depends on the repulsive force acting between the particles. The uniformity of particle dispersion increases with the intensity of the magnetic field and the initial concentration of the particles.
