Monte Carlo simulation of a kinetic Ising model for dendritic growth

We have developed a Monte Carlo method for the interfacial dynamics of a two-phase Ising-like system made unstable by a temperature gradient. Dendritic shapes form and rapidly reach an asymptotic regime in which their tip velocities are approximately constant with time. A power-spectrum analysis of interfacial fluctuations in the asymptotic regime is consistent with roughening.