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

Figure 2

(Color online) temporal evolution of the energy (i) and the effective perimeters (ii) for the same cases as in Figure 1 row (II), that is, for . The curves are labeled with an (a) for the snapshot (a II) of Figure 1, with a (b) for (b II) and so forth. (i) In this plot one notices clearly energy decreasing tendency in time. Here the curves (b) and (c) correspond to a nonsymmetric -matrix; hence its energy may decrease or increase indistinctly. Some increments of energy are labeled with . (ii) The perimeters are explicitly labeled in the plot with , , or . It is observed that the qualitative evolution agrees with the energy behavior. These special cases ran for time steps.