A new crystal growth model based on a stochastic method under an external field

A new crystal growth model, based on Monte Carlo simulation, is introduced to describe the diffusion-limited aggregation (DLA) with an external force that arises from Lorentz's and/or Coulombic interactions. Specific crystal patterns grown under these external forces are reproduced by a Monte Carlo simulation. In the present multi-purpose model, the basic movement of a par ticle is a random walk, with different transition probabilities in differen t directions to represent the effect of the external forces. In some cases, patterns that are qualitatively different from standard DLA clusters are o bserved, and they are successfully compared with existing experiments and t heories.