Figure 4

Fractal dimension dF computed with the sand-box method for different fractions of vacancies p.
The values of dF correspond to averages over 40 realizations of DGMs for p < 0.1 and 100 realizations for all other values of p. The blue circles correspond to the DGM after equilibration considering all the interactions. The dashed blue line indicates the average of dF calculated over the values within region III. The red diamonds correspond to dF after equilibration in absence of NCIs. The dashed red line is the average of dF without NCIs for region III. The green squares result from simulations that were first performed with all interactions and, after that, equilibrated again without NCI. The black triangles correspond to simulations that were first performed without NCIs and, after that, equilibrated again considering all interactions.