The first condition can be fulfilled by analyzing Equation (1) and taking into account that the acceptance and adding probabilities include a change of the system energy related to the spin’s direction changes. Generally, we assume that the “spin” S’, attributed to the super-cell in the re-scaled system (3D case and ferromagnetic coupling), is equal to n3S. In addition, all linear distances between the nodes are re-scaled by taking r’ = nr. The energy change calculated for the re-scaled system can be described using similar relations to the single-spin system but with S’, r’ and some apparent quantities like J’, K’ and D’.