Scaling relationships in the community structure and collective memories.
In panel (A), we plot the number of groups g for various system sizes as functions of the communication rate. (B) shows the r-values maximizing , , as a function of N. The solid line follows a power-law with exponent 1.14 (i.e. a functional form ), a value obtained from linear regression. (C) displays the number of groups against , confirming the size-scaling of the peak's position. (D) shows as a function of the number of agents. Parameter values are and . The values are sampled after 440 time steps (when the system has reached equilibrium). We use 50 averages. Errorbars are smaller than the symbol size in all panels except (D).