| Ising models imitate, with some quirks, continuous reaction-diffusion models. Hybrid model combining nearest neighbor interactions (resolved dynamically by Monte Carlo method) with long-range field well describe pattern formation, similar to models with short-scale activator and long-scale inhibitor. "Quasi-Ising" models with tailored neighbor interactions imitate domain dynamics in striped patterns and help to elucidate the pinning problem. There is a considerable difference between state-switching Ising and cellular automaton models. Perhaps, the former can be identified as an example of self-organization, and the latter as an example of self-assembly. |
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