Effect of Physically Realistic Potential Energy Form on Spatial Pattern Complexity in a Collective Motion Model

Figure 10

Equation (1) plotted for the value that maximizes and minimizes at each value. Color indicates . (a) positive values (Lennard–Jones-like potential) and (b) negative values (gravity-like potential). This shows the characteristic shape of the potential that produces the most complex and least complex behavior.

(a)

(b)