A new model for crystal growth under high magnetic field - Effect of environment in diffusion-limited aggregation

A new Monte Carlo model is introduced to describe the Diffusion-Limited Aggregation (DLA) with extra forces arising from the Lorentz's and/or Coulomb forces. Specific patterns grown under the external force are produced by Monte Carlo simulation. In the present model, the basic movement of particles is the random walk, with different transition probabilities in different directions, which characterize stochastically the effect of the extra forces. In some cases, pattern-formations which are qualitatively different from the standard DLA model are observed and they are compared with preexisting experiments.