Diffusion limited aggregation of magnetic particles with exponential decreasing interactions in three-dimensional space
Wei Qiao1,2, Jie Sun2, Qingfu Du2
1College of Control Science and Engineering, Shandong University, China
2School of Mechanical and Electrical Engineering,Shandong University at Weihai, China
Using the Monte Carlo simulation, we investigate the three-dimensional fractal growth of a magnetic diffusion-limited aggregation (MDLA), which consists of magnetic particles interacting with an exponential potential βCe-αr. The cluster morphology, fractal dimension and magnetic susceptibility of this MDLA are analysed with respect to the range facto rα and the coupling energy βC. In the case of long-range ferromagnetic interaction, our results show that the cluster morphology grows to be a hexagonal symmetry as the coupling energy increases, which is different from the two-dimensional simulation. For a proper coupling energy, the fractal dimension takes the maximal value and the cluster morphology becomes more compact. In the case of short-range interaction, the critical value of the cluster specific magnetic moment is much larger than the simulation result in the MDLA with the interacting potential of power law.