We used the cluster moving Metropolis Monte Carlo method combined with image and statistical analyses to simulate magnetized magnetic particle (or magnetic carried particle) aggregation in a uniform magnetic field. Once the particles aggregate together they permanently attach to one another. The dynamics of aggregation is characterized in terms of mean particle size, fractal dimensions, distribution of orientations and radial distribution function for different sized particles. From small to large diameters, the distribution of orientations gradually approaches the orientation of the magnetic field, the larger particles forming chain-like clusters, the smaller ones forming clusters with branched and looped shapes. The fractal dimensions of each diameter indicate fluctuations of 20, 40 and 100 nm during the process. For the polydisperse system, the radial distribution function shows that the peaks shift by integer multiples of the average diameter. This indicates that particles larger than average are the most common to be found forming clusters; the behavior of small particles is not the main factor in cluster formation because they generally attach themselves to the larger-particle clusters. The evolution of the aggregation as a whole can help to analyze the particle configuration in the magnetic separation and magnetic targeting process.
Radial distribution function in a diffusion Monte Carlo simulation of a Fermion fluid between the ideal gas and the Jellium model
