Ising model of polarity formation in molecular crystals: from the growth model to the asymptotic equilibrium state.

We analyze a layer-by-layer growth model of crystals consisting of dipolar molecules with two directional states. The model is characterized by the assumption of thermal equilibrium formation of new adlayers, whereas previous layers are treated as being "frozen" in the state in which they were formed. Longitudinal and transverse Ising-type nearest neighbor interactions are taken into account.