A coupled map lattice model is proposed as a simple simulation model for growth patterns in a diffusion field. The numerical simulation in a one-dimensional coupled map lattice is consistent with the solution of the Stefan problem. Needle-like and dendritic patterns are obtained in...

We study the nature of the instability of the homogeneous steady states of the subcritical real Ginzburg-Landau equation in the presence of group velocity. The shift of the absolute instability threshold of the trivial steady state, induced by the destabilizing cubic nonlinearities, is confirmed...

Using a one parameter free energy model for surfactants, we numerically study the effects of hydrodynamics in the microemulsion and lamellar phases. Our results show that the dynamical correlation function has temporal oscillations for a range of hydrodynamical coupling strengths in the...

Bacterial species Bacillus subtilis is known to exhibit various colony patterns, depending on the substrate softness and nutrient concentration. We have examined the self-affinity and roughness exponent α for growing interfaces of colonies which belong to regions B (Eden-like) and D (disk-like)...