Modeling Magnetic Particles

Abstract

Since there are various strategies in performing simulations at a microscopic level to obtain reliable results, we here discuss the modeling of magnetic particles, simulation techniques, and related tactics such as criterion of particle overlap: the particle overlap will certainly become a serious hurdle to develop a successful and reliable computational code of simulations in treating the motion of magnetic particles in a suspension. One example of simulations based on Brownian dynamics method is shown in order for nonexpert readers to straightforwardly understand how the simulation techniques play an important role in analyzing the microscopic behavior of magnetic particles in an applied magnetic field (as well as a shear flow). In the following sections, we first discuss the modeling of magnetic particles, the different axis systems grasping the particle situations, the criterion of particle overlap, simulation methods of Brownian dynamics and lattice Boltzmann method, and finally application of Brownian dynamics method to magnetic particle suspensions.