Figure 5
From: Emergence of disconnected clusters in heterogeneous complex systems
Results in 3D systems. We again find a good agreement between the asymptotic density profile in the simulations and the clusters obtained by the SDRG method. In 3D, the fractal dimension is \(d_f= 1.16(2)\)35,36, illustrated here for \(N=50\times 50\times 50\) sites with periodic boundary conditions and strength of disorder \(\alpha =4\). For better visibility, only sites with at least \(10\%\) of the maximum probability are indicated in the simulations, while we show only clusters of size above the square root of the size of the main cluster.
