Focusing on the re-scaling rules, the most important aspect is the determination of the acceptance probability, which depends on the competition between the system energy change (calculated using Equation (5)) and the thermal energy (kBT). As was demonstrated (Equations (5)–(7)), this ratio can be calculated in the following two ways:Calculate the energy change (ΔE’) using the re-scaled quantities and take exp(−n−3ΔE’/kBT) as the acceptance probability.
Calculate the energy change (Δe) using the unscaled distances rij, spins Si, anisotropy constants Ki and Jij/n as the exchange integral parameter, taking exp(−Δe/kBT) as the acceptance probability.