Abstract
Growth morphologies in diffusion fields are investigated by two types of numerical methods: solution of the integro-differential equation of a step profile and Monte Carlo simulation of a lattice gas model. The former method is applied to study the effect of kinetics on dendritic growth, and the capillarity-controlled scalling behavior is found to hold for a small but non-vanishing kinetic coefficient. The latter methods is suitable for studying the effect of noise at the atomic level, and applied to the solidification by adsorption of atoms at the step. By an irreversible solidification, shot-noise is frozen in the aggregation to produce a fractal structure. Even when the noise is reduced, the step profile is found to show a spatio-temporal chaotic behavior after the straight step becomes unstable.
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