Patterns and localized structures in a hybrid non-equilibrium Ising model

We study a hybrid non-equilibrium pattern formation model combining short-scale Ising model with a continuous slow or long scale inhibitor. The computation combines alternates Monte-Carlo algorithm with updating of the inhibitor field. It is very fast, and allows us to study the influence of various factors, such as scale ratios, coupling strength, bias, temperature (level of noise), anisotropy, etc., on the pattern formation and behavior of emerging non-equilibrium structures.