Self-Organized Societies: On the Sakoda Model of Social Interactions

Figure 8

(Color online) scheme for different interaction energy contributions in the case of the Moore neighborhood in a two-dimensional regular lattice. bond is represented in green, −− bond is drawn in orange, is drawn in purple, is drawn in sky-blue, is drawn in pink, and finally 00 bond is not drawn. (a) It shows a vertical interface among two populations and . The interface energy appears as a consequence of the asymmetry among the individual in the bulk, 8 individuals of the same type, and the individuals at the interface, 5 individuals of one type and 3 from the other. (b) It shows a general interface with both edges and corners. The reader may check the validity of (D.4) and (4).

(a)

(b)