Figure 6
From: Emergence of disconnected clusters in heterogeneous complex systems
Results in 2D with long-range interactions. Here we show our results for algebraically decaying interaction probability with an exponent \(s=4\), for \(N=100\times 100\) sites with periodic boundary conditions. The number of short-cuts is N/16 and the strength of disorder is \(\alpha =4\). Red links indicate long-range connections within the main cluster. The critical clusters are even more strongly disconnected objects, with a formally zero fractal dimension29.
