A coupled map lattice model for dendrite in diffusion field

We have newly performed simulations of a coupled map lattice model including surface tension for melt growth. We obtain a phase diagram of various patterns. An angular dendrite appears with a weak influence of the latent heat. The temperature profile near the tip in decreasing latent heat and in increasing undercooling shows the same tendency. From this, we explain the cause of the disagreement with V ∝ K_tip², where V is tip velocity and K_tip is tip-curvature. In this model, the side-branches are generated from the temperature fluctuation that comes from the curvature defined with a matrix.